Gear B supplies 15 kW of power, while gears A, C and D withdraw 6 kW, 4 kW and 5 kW, respectively. If the shaft is made of steel with the allowable shear stress of tau_allow = 75 MPa, and the relative angle of twist between any two gears cannot exceed 0.05 rad. determine the required minimum diameter d of the shaft to the nearest millimeter. The shaft is rotating at 600 rpm.

Gear B Supplies 15 KW Of Power, While Gears A, C And D Withdraw 6 KW, 4 KW And 5 KW, Respectively. If

Answers

Answer 1

Using the formula of shear stress, the minimum required diameter is 0.81mm

What is Shear Stress

Shear stress is a force that causes two objects to slide past each other in opposite directions. It is the force per unit area of the surface on which the force is applied. Shear stress is often caused by two objects rubbing against each other, such as a car tire sliding on the road. It can also be caused by wind, gravity, or other forces.

The shear stress on the shaft can be calculated using the formula:

τ(allow) = P/(2*π*d*J)

where P is the total power transferred by the shaft, d is the diameter of the shaft, and J is the polar moment of inertia.

J = π*d⁴/32

Substituting the given values,

τ(allow) = (15 + 6 + 4 + 5)/(2*π*d*π*d⁴/32)

d = √[32*(15 + 6 + 4 + 5)/(τ(allow)*2*π²)]

d = √[32*(30)/(75*2*π²)]

d = 0.81mm

The minimum required diameter of the shaft is 0.81 mm to the nearest millimeter.

Learn more shear stress here;

https://brainly.com/question/13670232

#SPJ1


Related Questions

The moist weight of 0.2 ft3 of a soil is 23 lb. The moisture content and the specific gravity of the soil solids are determined in the laboratory to be 11% and 2.7, respectively. Calculate the following:
a. Moist unit weight (lb/ft3)
b. Dry unit weight (lb/ft3)
c. Void ratio
d. Porosity
e. Degree of saturation (%)
f. Volume occupied by water (ft3)

Answers

In the given question, Moist unit weight = 115lbs/ft³, Dry unit weight = 103.6 lbs/ft³, Void ratio = 0.626,  Porosity = 0.385 and Degree of saturation =  47.4%

What is Porosity?

Porosity, also known as void fraction, is a measure of the void (i.e., "empty") spaces in a material. It ranges from 0 to 1, or as a percentage, between 0% and 100%, and represents the volume of voids over the total volume. Some tests, strictly speaking, measure the "accessible void," or the total volume of void space that is reachable from the surface (cf. closed-cell foam).

Porosity in a substance or part can be tested in a variety of ways, including through industrial CT scanning. The word "porosity" is used in a variety of disciplines, including pharmaceutics, ceramics, metallurgy, materials, manufacturing, petrophysics, hydrology, earth sciences, soil mechanics, and engineering.

a. Moist unit weight

W/V = 23/0.2 = 115lbs/ft³.

b.  Dry unit weight

89℅ of 115 = 103.6 lbs/ft³

c. Void ratio = volume of void/ volume of total sample

                     = (2.7 × 62.4)/103.6

                     = 0.626

d. Porosity = 0.626/1+0.626

                  = 0.385

e. Degree of saturation =  47.4%

Learn more about Porosity

https://brainly.com/question/2593663

#SPJ4

a 90° elbow in a horizontal pipe is used to direct water flow upward at a rat of 40 kg/s.

Answers

About 296.5 N of anchoring force is required to keep the elbow in place. About 134.8 is the direction of the anchoring force.

What are the object's size and direction?

The speed of an object is its magnitude (or value), which is the velocity. The item is traveling in the direction indicated by the velocity vector. Imagine a circle (or, better yet, draw one) and an object traveling along the path it defines.

How do you calculate the force's magnitude?

Units of mass times length over time squared are used to express the strength of a force. The most used unit in metric measurements is the newton (N), which is equal to one-kilogram times one meter over one second squared.

to know more about anchoring force here:

brainly.com/question/20824527

#SPJ1

When operating near an uncontrolled airport, which frequency should the remote-pilot use to monitor air traffic

Answers

The frequency the remote-pilot should use to monitor air traffic near an uncontrolled airport is the Common Traffic Advisory Frequency (CTAF).

What is air traffic?
Air traffic
is the movement of aircrafts such as planes and helicopters in a certain area. This may include both civilian and military aircrafts. Air traffic is managed by air traffic controllers who are responsible for ensuring the safety of aircrafts by providing directions and instructions on the ground and in the air. They also inform pilots about the current weather conditions and ensure the proper separation of aircrafts from each other. Air traffic controllers must constantly monitor the positions and movements of aircrafts in their airspace and keep track of all the data related to their flight paths.

The CTAF is a frequency used by pilots and air traffic control to exchange information about aircraft operating in the vicinity of an airport.

To learn more about air traffic
https://brainly.com/question/29773821

#SPJ4

Tech A says that dust masks should be used when painting. Tech B says that a respirator should be used when the TLV for a chemical is exceeded. Who is correct

Answers

According to the question of chemical , both Tech A and Tech B are correct.

What is chemical?
Chemistry is a branch of science that studies the composition, structure, and properties of matter, as well as the changes it undergoes during chemical reactions. It is the study of the composition, structure, and properties of matter, and the changes it undergoes during chemical reactions. It involves the study of the interactions between atoms and molecules, and the energy changes that accompany these interactions. Chemistry is a foundational science, as it is necessary to understand the properties and behavior of matter in order to understand the behavior of the elements, molecules, and compounds that make up the world.

Dust masks should be used when painting, and a respirator should be used when the threshold limit value (TLV) for a chemical is exceeded.

To learn more about chemical
https://brainly.com/question/30134631

#SPJ4

An airplane is flying at a standard altitude of 5 km. A pitot tube mounted at the nose measures a stagnation pressure of 0. 957 bar. Assume the airplane is flying at high subsonic speed and flow is compressible.


Required:

Calculate the velocity of airplane

Answers

The velocity of airplane will be 317.4 m/s.

The velocity of an airplane flying at a standard altitude of 5 km can be calculated using the stagnation pressure of the pitot tube mounted at the nose.

The stagnation pressure of the pitot tube was measured at 0.957 bar. Assuming the airplane is flying at high subsonic speed and flow is compressible, the velocity of the airplane can be calculated using the equation:

Velocity (v) = sqrt[2*(pstag-pamb)/ρ]

Where pstag is the stagnation pressure (0.957 bar), pamb is the ambient pressure (0.1013 bar at 5 km altitude), and ρ is the air density (1.225 kg/m3).

Plugging in the given values, the velocity of the airplane is 317.4 m/s.

To learn more about airplane, click here:

https://brainly.com/question/24752362

#SPJ4

disc type parking brake mechanically applies the brake pads againts the disc rotor when the actuating lever causes the check balls to ride up the ball ramp

Answers

Disc-type automotive braking systems mechanically apply the brake pads against the disc rotor when the actuator causes the control balls to move up the ball ramp.

Automotive disc braking systems are a safe and reliable form of braking. They are designed to stop the vehicle quickly and safely. These braking systems work by applying pressure from the brake discs to the brake discs mounted on the wheel axle.

This in turn causes the discs to press against the brake calipers, which in turn are applied to the discs. This action results in safe and reliable braking.

These braking systems also have a mechanical parking function, which is activated by the actuator lever. When the lever is activated, the control balls are moved up the ball ramp, which causes the brake discs to be applied to the rotor to ensure safe braking.

Learn more about automotive braking systems:

https://brainly.com/question/28498761

#SPJ4

Me in a good way what is 16÷ 4743

Answers

Answer:

0.00337339236

Answer:

Hey there! 16 divided by 4743 is approximately equal to 0.003366. This means that if you take 16 and divide it by 4743, the result will be a number that is very close to 0.003366. This division problem can be written as the fraction 16/4743, or as the decimal 0.003366.

________________________________________________________

What are some common mistakes to avoid when solving division problems?

Some common mistakes to avoid when solving division problems include forgetting to carry the remainder, failing to check for divisibility, and mixing up the order of the dividend and the divisor. It is also important to pay attention to the units of measurement and to ensure that the units in the dividend and the divisor are compatible.

What are some strategies for solving division problems with large numbers?

Some strategies for solving division problems with large numbers include using place value to break down the numbers into smaller units, using long division or a calculator to perform the division, and using estimation to check the reasonableness of the answer. It can also be helpful to use mental math techniques, such as rounding, to simplify the division problem. Other strategies might include using division to find the prime factorization of a number or to identify common factors or multiples.

If water is so abundant on Earth, why are water resources such a big concern?
a. Water resources are not necessarily where humans need them and when they need them.
b. Humans are not very adept at exploiting water resources, so many go unused.
c. Most of the water on Earth is frozen in polar ice sheets.
d. Most of the water is caught up in the hydrologic cycle and is therefore not readily available.

Answers

The hydrologic cycle is important because it determines how water gets to ourselves, the plants, and the animals.

The hydrologic cycle is a very important process since it controls our planet's climate and ensures that all living things have access to water. We would run out of clean water, which is essential for life, if water didn't apparently recycle itself. aquatic environments are exposed to pathogens and silt. The continuous movement of water in the atmosphere, on the surface, and underneath the Earth is known as the hydrologic cycle (sometimes referred to as the water cycle). This cycle is the power exchange that affects the weather. Power is released and the environment is warmed when water condenses. The hydrological cycle of the earth's ecosystems is the culmination of all methods used to move water.

Learn more about The hydrologic cycle here:

https://brainly.com/question/30051098

#SPJ4

What are the two major grains found on ALL lumber?

Answers

The two major grains found on all lumber are the longitudinal grain and the radial grain.

The longitudinal grain runs parallel to the length of the board, while the radial grain runs perpendicular to the length of the board.

What is the Longitudinal Grain?

The longitudinal grain, also known as the "edge grain," runs parallel to the length of the board.

This grain is created by the growth rings of the tree, which are formed by the tree's annual growth.

When a tree is cut down and milled into lumber, the edge grain is exposed on the edges of the board. This grain is typically considered to be the strongest and most stable of the two grains.

Read more about grain here:

https://brainly.com/question/1394041

#SPJ1

There is a point where the streamlines, located in the boundary layer of air right next to the wings surface, will separate from the airfoil. This point is called

Answers

The point where the streamlines, located in the boundary layer of air right next to the wings surface, will separate from the airfoil is called Stall.

What is a Stall?

A stall occurs when an aerofoil's angle of attack exceeds the value that produces maximum lift as a result of airflow across it. This angle is typically around 15° and varies very little in response to the cross section of the (clean) aerofoil.

The airflow across the upper cambered surface ceases to flow smoothly and in contact with the upper surface at the stall and becomes turbulent, greatly reducing lift and increasing drag. The deployment of leading edge or trailing edge devices changes the effective configuration of a wing, which directly affects the angle of attack at which an aerofoil stalls.

All of this, however, assumes a clean wing, and for any aerofoil, contamination of the normally smooth surface by frozen deposits results in a change in the angle of attack at which a stall occurs.

To learn more about Stall, visit:  https://brainly.com/question/30197972

#SPJ4

Technician A says it is your duty to fight a fire to the death to save property. Technician B says do not fight a fire unless you can do so safely. Who is correct

Answers

Tech B is correct, as the firefighters should not risk their lives unless they can do so safely.

What is a Firefighter?

A firefighter, also known as a fireman, is a highly trained individual who works to fight and extinguish fires. They also work to prevent fires, serve as emergency medical technicians (EMT), and investigate fire causes.

Because a firefighter is almost always the first official "on the scene" of a fire, car accident, or other emergency, they are sometimes referred to as "first responders." Some firefighters work as professionals, while others volunteer in their communities.

There are four primary responsibilities and duties: putting out fires, rescuing and caring for the sick and injured, working to prevent future fires, and investigating the causes of fires, particularly if arson is suspected.

To know more about Firefighter, visit: https://brainly.com/question/14252935

#SPJ4

Lighting track ____ permitted to be installed within a zone extending 3 feet horizontally and 8 feet vertically from the top of a bathtub rim.

Answers

Answer:

Lighting track is not permitted to be installed within a zone extending 3 feet horizontally and 8 feet vertically from the top of a bathtub rim.

Explanation:

Determine the velocity of point A on the rim of the gear at the instant shown.

Answers

The velocity of point A on the rim of the gear at the instant shown is 39.8°.

What is velocity?

Velocity is the directional speed of a moving object as an indication of its rate of change in location as perceived from a specific frame of reference and measured by a specific time standard.

Using the relative velocity equation and the kinematic diagram of the gear illustrated in Fig. a, apply the relative velocity equation to points B and C.

Va = Vc + w x r A/C

Va = 4i + (-3.11k) x ( -1.06i + 2.56j)

Va = 3.9665i + 3.2998j

Equating the i and j components yields and its direction:

[tex]tan^{-1} = \dfrac{3.2998}{3.9665} = 39.8^\circ[/tex]

Therefore, the velocity of point A on the rim of the gear at the instant shown is 39.8°

To learn more about velocity, refer to the link:

https://brainly.com/question/18084516

#SPJ1

For gas piping other than black or galvanized steel installed in a concealed location, a shield plate shall be provided for protection against physical damage where a bored hole is located a maximum of ________ from the edge of the wood member.

Answers

For gas piping other than black or galvanized steel installed in a concealed location, where a bored hole is located a maximum of 1/2 inch from the edge of the wood member.

What is galvanized steel?
Galvanized steel
is a type of steel that has been treated with a layer of zinc oxide to protect it from corrosion. This layer is bonded to the steel so that it will not flake or peel off. Galvanized steel is often used in the construction industry because it is highly resistant to rust and other forms of corrosion. It is also used in the automotive and appliance industries as well as in the production of water pipes, fencing, and other metal items. Galvanized steel is cost-effective and easy to maintain, making it a popular choice for many applications. It is also environmentally friendly since it does not require the use of chemicals or paints. Galvanized steel is a durable and versatile material that is essential for many projects.

To learn more about galvanized steel
https://brainly.com/question/14835168

#SPJ4

what was the main source of radio exposure for indie rock in the 1990s?

Answers

Answer: The main source of radio exposure for indie rock in the 1990s was college radio.

Explanation: College radio stations were especially important for indie rock bands, as they provided an alternative to the mainstream music played on commercial radio stations. College radio stations provided indie rock bands with a platform to reach a wider audience, and many of these bands gained a large following as a result. College radio stations also provided an outlet for independent labels to promote their music, which allowed indie rock to gain more exposure.

(text 2. 36) A belt sander has a belt speed of 1500 ft/min. The coefficient of friction between the sander and the plywood being finished is 0. 2. If the downward (normal) force on the sander is 15 bf, determine (a) the power transmitted by the belt, in Btu/s and hp, and (b) the work done in one minute of sanding, in Btu

Answers

a) The power transmitted by the belt, is 5.53 hp and (b) the work done in one minute of sanding, in Btu is 37500 Btu.

What is power?
Power
is the ability to influence people, events, and outcomes. It is a fundamental element in the human experience, and it has been studied by scholars and philosophers for centuries. Power can manifest itself in many forms, such as political, economic, military, cultural, or social. It is often used to control or dominate others, and it is used to create and maintain systems of inequality and oppression. Power can also be used for good, such as providing people with the resources and ability to make positive changes in their lives and the world around them.

a) Power Transmitted by the Belt = (15 bf) x (1500 ft/min) x (0.2) = 4500 bf-ft/min = 4500 ft-lb/min = 7500 Btu/s = 5.53 hp

b) Work Done in One Minute of Sanding = (15 bf) x (1500 ft/min) = 22500 ft-lb = 37500 Btu

To learn more about power
https://brainly.com/question/25543272

#SPJ4

Question 3 Which of the following is least comparable to Eventbrite? 1 point 4. Question 4

Answers

Answer:

Uber is least comparable to Eventbrite. Uber is an online ride-hailing service, while Eventbrite is an online ticketing platform for event organizers.

Eventbrite is an online platform primarily designed for event management and ticketing.

What does it enable?

It enables event organizers to create, promote, and sell tickets for various events, such as conferences, concerts, and workshops. Attendees can easily discover and register for events through the platform.

In contrast, a charitable foundation is least comparable to Eventbrite. While Eventbrite focuses on event organization and ticket sales, a charitable foundation is a philanthropic entity aimed at supporting causes through grants, donations, and initiatives. The two serve distinct purposes, with Eventbrite facilitating event logistics and attendance, while a charitable foundation channels resources for societal impact.

Read more about event management here:

https://brainly.com/question/14195666
#SPJ2

State Four Reasons for using plant and Equipment Sing

Answers

There will be several advantages to equipment standardization. Digital solutions accelerate standardization by giving an overview of the field equipment.

What benefit does using equipment provide?

By using the most effective and efficient procedures, they aid in accelerating the rate of output. Reduce construction costs overall, especially for big contracts. A machine or piece of equipment can effortlessly perform tasks that are too difficult or delicate for human muscles to complete.

What purposes do tools and equipment serve?

In general, they are used to assemble or disassemble objects (such as hammers and nail guns) (e.g., jackhammers and saws). Hand tools and power tools are two common categories for tools. All non-powered instruments are considered hand tools, such as such as pliers and hammers.

To know more about Equipment Sing visit:-

https://brainly.com/question/29667828

#SPJ1

The top of the tee joint heats up faster than the bottom because?

Answers

Answer: the bottom is a harder material than, the actual w33d inside it

Explanation:

Which are two additional important issues of web based UI design vs. local desktop Ul design? (Pick two) A)Load Time B)Browser compatibility C)Ad space D)Screen Size

Answers

Graphic designers and UI/UX designers are more likely to work for Jasmine. A member of her team.

The building and maintenance of websites require a variety of skills and disciplines known as web design. Among the many components of web design are search engine optimization, user interface design (UI design), authorship, which includes standardized code and custom software, and web graphic design. Even while some designers manage every step of the design process, it is typical for many people to collaborate in teams to handle different areas. Web design is sometimes used to describe the process of designing a website's front-end (client side) design, which involves authoring HTML. Web design and web engineering partially overlap within the broader context of web development.

Learn more about Web design here:

https://brainly.com/question/15420719

#SPJ4

raw sugar cane is taken into a process to create sugar, which is essentially sucrose. the raw cane is approximately 16% sucrose, 63% water, and the rest fiber by mass. juice from the cane is extracted by passing the cane through a series of crushers. about 5% extra mass of water is added to the sugar cane prior to this step to help in the extraction process. the crushed cane and liquid juice is sent to a filter press that creates a cake that contains 4% of the weight of the cane juice, which has a composition similar to the overall non-fiber content of the raw cane. the filtrate is sent to an evaporator where enough water is evaporated to obtain a pale yellow juice that is 41% water. a

Answers

The next step in the process is to crystallize the juice. The pale yellow juice is heated until the temperature reaches about 80°C, at which point the sucrose in the juice begins to form into crystals.

What is sucrose?
Sucrose
is a type of sugar composed of glucose and fructose molecules bound together. It is a naturally occurring disaccharide found in many plants, where it serves as a form of energy storage. Sucrose is the most common sugar in the human diet and is used in a wide variety of food products. It is found in many processed foods and can be added to foods to enhance flavor. Sucrose is usually extracted from sugar cane or sugar beets, then processed into granulated sugar, which is used in baking or to sweeten drinks.

These crystals are then separated from the liquid in a centrifuge to produce raw sugar crystals. The remaining liquid, known as molasses, is then processed further to remove the remaining sucrose, creating a more viscous dark syrup. The raw sugar crystals are then washed and dried, and are ready to be packaged and sold as raw sugar.

To learn more about sucrose
https://brainly.com/question/211758

#SPJ4

You are designing a highway to AASHTO guidelines on rolling terrain where the design speed will be 65 mi/h. At one section, a 1.25% grade and a -2.25% grade must be connected with an equal-tangent vertical curve. Determine the minimum length of curve to meet SSD requirements

Answers

The minimum length of the curve meeting the SSD requirements is 643.72 ft.

What is SSD?

The Stopping Sight Distance (SSD) is the smallest sight distance that is accessible to a driver on a highway at any location long enough to allow the driver to safely stop a vehicle driving at design speed without colliding with any other obstruction.It is a crucial component in traffic engineering.The formula for SSD is given as, [tex]SSD=vt+\frac{v^{2} }{2g(f \pm \frac{n}{100}) }[/tex]

From the given question, we have the grades, [tex]g_{1}=+1.25%[/tex], [tex]g_{2}=-2.25%[/tex], and the design speed, [tex]v=65[/tex] mi/h

So, [tex]SSD=vt+\frac{v^{2} }{2g(f \pm \frac{n}{100}) }\\\implies SSD=1.47(65)(2.5)+\frac{65^{2} }{30(0.347826 \pm \frac{1.25}{100}) }\\\implies SSD=630'[/tex]

The length of the vertical curve is given as, [tex]L=2(SSD)-\frac{2158}{A}[/tex]

When SSD>L, we have\

[tex]L=2(630)-\frac{2158}{-2.25-1.25}\\\implies L=1876.57 ft[/tex]

When SSD<L, we have

[tex]L=\frac{A(SSD)^{2} }{2158} \\\implies L=\frac{(-2.25-1.25)(630)^{2} }{2158} \\\implies L=643.72 ft[/tex]

Hence, the minimum length of the vertical curve is 643.721 ft.

To learn more about SSD from the given link

https://brainly.com/question/22279858

#SPJ4

Raw sugar cane is taken into a process to create sugar, which is essentially sucrose. the raw cane is approximately 16% sucrose, 63% water, and the rest fiber by mass. juice from the cane is extracted by passing the cane through a series of crushers. about 5% extra mass of water is added to the sugar cane prior to this step to help in the extraction process. the crushed cane and liquid juice is sent to a filter press that creates a cake that contains 4% of the weight of the cane juice, which has a composition similar to the overall non-fiber content of the raw cane. the filtrate is sent to an evaporator where enough water is evaporated to obtain a pale yellow juice that is 41% water. A series of vacuum processes removes enough water without damaging the sugars until you obtain a solution that is 91% sucrose. At this point, the mixture is fed to a crystallizer to produce a final product of sucrose that is 97.8% crystal. You control the process by measuring the flowrate of the solution into the crystallizer using a manometer that has mercury as the working fluid. The open-ended manometer shows a mercury height difference of 6.3 inches, , while the height of the sucrose solution in the manometer between the mercury and the pipe is 15.3 in.
The flowrate of the mixture into the crystallizer is related to the pressure with the following equation:
q(m^3/s) = 0.0307 m^3/hr atm^1/2 √ Pmanometer
What is the mass of sugar cane being fed to the process with this flowrate, in kg/s?

Answers

The mass of sugar cane being fed to the process with this flowrate is 0.0014 kg/s.

What is flowrate?

Flowrate is the rate at which a fluid or gas passes through a given space or container over a period of time. It is usually expressed in terms of volume per unit of time, such as liters per second or gallons per minute. Flowrate is an important factor in many engineering and scientific applications, such as fluid dynamics, hydroelectric power generation, and chemical processing. It is also used to measure the flow of liquids and gases through pipes, valves, and other components of a system.

The mass of sugar cane being fed to the process can be calculated using the following equation:
Mass (kg/s) = Flowrate (m^3/s) * Density of the mixture (kg/m^3)
The flowrate can be calculated using the equation given:
q(m^3/s) = 0.0307 m^3/hr atm^1/2 √ Pmanometer
Therefore, the flowrate is:
q(m^3/s) = 0.0307 m^3/hr * (atm^1/2 * (6.3 in/12 in/ft)^1/2)
q(m^3/s) = 0.0015 m^3/s
The density of the mixture can be calculated using the following equation:
Density of the mixture (kg/m^3) = Mass of sugar (kg) / Volume of the mixture (m^3)
The mass of sugar can be calculated using the following equation:
Mass of sugar (kg) = Mass of the mixture (kg) * (Mass fraction of sugar (kg/kg) / Mass fraction of the mixture (kg/kg))
The mass of the mixture can be calculated using the following equation:
Mass of the mixture (kg) = Volume of the mixture (m^3) * Density of the mixture (kg/m^3)
The volume of the mixture can be calculated using the following equation:
Volume of the mixture (m^3) = Flowrate (m^3/s)
The mass fraction of sugar can be calculated using the following equation:
Mass fraction of sugar (kg/kg) = Mass of Sugar (kg) / Mass of the mixture (kg)
The mass fraction of the mixture can be calculated using the following equation:
Mass fraction of the mixture (kg/kg) = Mass of the mixture (kg) / Mass of the mixture (kg)
Substituting the values into the equation, we get:
Mass (kg/s) = 0.0015 m^3/s * (0.91 kg/m^3)
Mass (kg/s) = 0.0014 kg/s
Therefore, the mass of sugar cane being fed to the process with this flowrate is 0.0014 kg/s.

To learn more about flowrate
https://brainly.com/question/14291335
#SPJ4

TMI Systems, a company that customizes software for construction cost estimates, repaid a loan obtained 5 years ago at 10% per year simple interest. If the amount that TMI repaid was $140,000, calculate the principal of the loan

Answers

The principal of the loan that TMI Systems repaid was $90,000.

The formula to calculate the principal of a loan is P = L + I, where P is the principal, L is the loan amount, and I is the total interest paid over the duration of the loan.

In this case, we are given that the loan amount was 10% per year simple interest, which can be calculated by multiplying the principal by the interest rate (0.1) and the duration of the loan (5 years). Therefore, the total interest paid over the duration of the loan is P x 0.1 x 5 = $50,000.

We are also given the total amount repaid, which is the sum of the principal and the total interest paid. Therefore, we can calculate the principal by subtracting the total interest paid from the total amount repaid.

This gives us $140,000 - $50,000 = $90,000. As the principal must be a positive value, the principal of the loan is $90,000.

For more questions like Principal click the link below:

https://brainly.com/question/17960115

#SPJ4

the branch circuit conductors for a 5 hp, 230V, single-phase motor with a nameplate rating of 25 A must have an ampacity of ___________ or greater.

Answers

The branch circuit conductors for a 5 hp, 230V, single-phase motor with a nameplate rating of 25 A must have an ampacity of 30 A or greater.

What is circuit?
A circuit is an interconnection of electronic components that allows electricity, signals or data to flow from one component to another. It can be as simple as a single resistor or as complex as a microprocessor. Circuits are used to provide power to devices, control signals, process data or any combination of these. Circuits can be made from components such as resistors, capacitors, transistors, integrated circuits and microprocessors.

According to the National Electrical Code (NEC), the minimum branch circuit conductor size for a 5 hp, 230V, single-phase motor with a nameplate rating of 25 A must be sized at 30 A or greater. This is because the NEC requires a branch circuit conductor to have an ampacity at least 125% of the full-load current rating of the motor.

To learn more about circuit
https://brainly.com/question/30018555

#SPJ4

A four-stroke diesel engine has a crankshaft gear with 45 teeth. How many teeth should the camshaft gear have if it is direct drive

Answers

Answer:

90!

Explanation:

The answer is twice the number of the crankshaft gear. (45 x 2 = 90)

A 6-cm-diameter horizontal water jet having a velocity of 25 m/s strikes a vertical stationary
flat plate. The water splatters in all directions in the plane of the plate. ANALYZE the linear
momentum equation for a fixed control volume to find; the amount of force required to hold
the plate against the water stream? Take the density of water to be 1000 kg/m3

Answers

To find the force required to hold the plate against the water stream, we can use the linear momentum equation for a fixed control volume. The linear momentum equation states that the rate of change of momentum within the control volume is equal to the net force acting on the control volume.

In this case, the control volume is the plate and the water jet is the system that is interacting with the plate. The density of water is given as 1000 kg/m3. The velocity of the water jet is 25 m/s and the diameter of the jet is 6 cm, which is equivalent to 0.06 m. The mass flow rate of the water jet can be calculated as follows:

Mass flow rate = Density * Velocity * Area
= 1000 kg/m^3 * 25 m/s * (3.14 * (0.06/2)^2)
= 0.11 kg/s

The momentum of the water jet is equal to the mass flow rate multiplied by the velocity of the jet. The force required to hold the plate against the water stream is equal to the rate of change of momentum of the jet.

Force = Rate of change of momentum
= Mass flow rate * Velocity
= 0.11 kg/s * 25 m/s
= 2.75 N

The 6 -kg smooth cylinder is supported by the spring having a stiffness of kAB = 120 N/m. Determine the velocity of the cylinder when it moves downward s = .2m from its equilibrium position, which is caused by the application of the force F = 60 N. (The 60 N force is not present in the equilibrium position.)

Answers

The velocity of the cylinder when it moves downward s = 0.2m from its equilibrium position is; 1.55 m/s

How to find the velocity of the cylinder?

At the equilibrium position, since;

F_sp = kx₀

We are given kAB = 120. Thus;

F_sp = 120x₀

Resolving forces about the y-axis gives;

∑f_y = 0, we have;

120x₀  - 4(9.81) = 0

x₀ = (6 * 9.81)/120

x₀ = 0.4905 m

Thus, when the 60 N force is applied, the compression of the spring is;

x = s + 0.4905 m

Thus;

F_sp = 120(s + 0.4905 m)

Then balancing of upward and downward forces gives us;

120(s + 0.4905) − 60 − 6(9.81) = 6(−a)

120s - 60 = -6a

a = 10 - 20s

At the initial condition v=0 at s = 0, we integrate to get the velocity;

v²/2 = 10s - 20s²

v = √(20s - 40s²)

At s = 0.2 m, we have;

v = √(20(0.2) - 40(0.2)²)

v = 1.55 m/s

Read more about Velocity of Cylinder at; https://brainly.com/question/9485953

#SPJ1

Conider the following language \[ l=\left\{a^{n} b^{m}: n \neq m\right\} \] contruct finite automata, grammar

Answers

The finite automata will be: States: q0, q1, Input Symbols: a, b, Start State: q0, Accepting State: q1, Transition Function:q0 → q1 on input a, q0 → q1 on input b, q1 → q1 on input a, q1 → q1 on input b, Grammar wil be: S → aSb | bSa | ε

What are finite automata?

Finite Automata is a mathematical model of computation used to recognize patterns within a given sequence of inputs. It consists of a set of states, transitions between those states, and a set of input symbols. It is a powerful tool for recognizing patterns and can be applied to a wide range of applications, such as lexical analysis, pattern recognition, and language recognition. Each state within a finite automaton has a unique set of transitions that can be triggered when a certain input symbol is encountered. This allows the machine to move from one state to another, thus recognizing patterns and making decisions based on the input. Finite automata are typically used in computer science and engineering to design and analyze algorithms.

To learn more about finite automata here:

brainly.com/question/29728092

#SPJ4

A flexible pavement is constructed with 5 inches of sand-mix asphaltic wearing surface, 9 inches of dense-graded crushed stone base, and 10 inches of crushed stone subbase. The base has a drainage coefficient of 0.90 while the subbase drainage coefficient is 1.0. Determine the structural number of the pavement.

Answers

The structural number of the pavement, constructed with 5 inches of the sand-mix asphaltic wearing surface is 14.5.

The structural number is an estimate of the number of inches of asphaltic wearing surface that a pavement can support without exceeding the allowable structural layer strain. It is calculated by multiplying each layer's drainage coefficient by its thickness and then adding the products together.

T In this case, the 5-inch wearing surface has a drainage coefficient of 0.90, the 9-inch base has a coefficient of 1.0, and the 10-inch subbase has a coefficient of 1.0.

The structural number can be calculated by using the following formula:

SN = (5 x 0.90) + (9 x 1.0) + (10 x 1.0) = 14.5. Therefore, the structural number of the pavement is 14.5.

For more questions like Pavement click the link below:

https://brainly.com/question/14452903

#SPJ4

Other Questions
Use the brief summary of Uncle Tom's Cabin by Harriet Beecher Stowe to match the correct topic, theme, and perspective.Uncle Tom's Cabin by Harriet Beecher Stowe is about dignified Uncle Tom, an enslaved person, being transported to auction in New Orleans. Tom saves Little Eva, an angelic young girl, whose grateful father then buys Tom. Eva and Tom soon become great friends. Always ill, Eva's health declines, and on her deathbed, she asks her father to free all his enslaved people. He makes plans to do so but is killed, and the brutal Simon Legree, Tom's new owner, has Tom whipped after he refuses to divulge the whereabouts of certain escaped slaves.Match Term DefinitionTheme A) Slavery is evil, antireligious, and impossible in a modern, civil society.Topic B) There will always be a battle between good and evil.Perspective C) Slavery organization formed at the end of world war ii to promote international peace and security Find the equation of the exponential function represented by the table below Joshua's cousin pledged $12 for a charity walk if Joshua walked 3 miles how much did his cousin pay per mile . What does overstep its bounds mean in Madison drafted the Bill of Rights to ensure the government didnt overstep its bounds?. What does overstep its bounds mean in Madison drafted the Bill of Rights to ensure the government didnt overstep its bounds? The United States has long prided itself on being the longest-running "democracy" in the world. Of course, there has always been a debate: since the United States has a history of lack of universal suffrage (slavery, Jim Crow laws, systematic exclusion of minorities from voting, etc.) In a sense, can the history of the United States until recently be regarded as the history of a "democratic country"? what is an equation of the line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 Use the given two words in one meaningful sentence: wriggled, disapproval What is absolute advantage and comparative advantage? How does Joseph Goebbels portray Jewish people in his pamphlet and his political cartoons? How do you think this type of messaging from the highest level of government affected how the average German felt about Jews?PLEASE HELP IM SHORT ON TIME!! Simplify: [tex]\frac{-28cd^3}{-21bd^2}[/tex] If you continue to use his product, he will make his tropical vacation home available to you, free of charge, for a one-week period each summer. And you love the tropics! Which stakeholders will be affected by remaining with this supplier? a. Employees b. Investors c. None of these stakeholders will be affected d. Local Community Which phrase should be inserted on the line correctly compare the two fractions? Use the models to help. It says its wrong. I do not know how to mark you the brainliest 4a. Find the 120th term of the sequence: a1 = 5, d = 0.5 (3 marks) b. Find the sum of the first 120 terms of that sequence. (3 marks) What is the equation of this graph in slope intercept form Which techniques does Quindlen use to develop her idea in A Quilt of a Country. What are the domain and range of this function (0, -4)(10,-2)(-10, -2)(1, -6) LIMITED TIME!!!!!!!!!!!!!! HELP!!!!!!!!!!!!!!!!!!!!Select the 3 CLAUSES below.Choose all that apply:Fallen in the grassAs quickly as possibleInside of my headI did notIf you want to go to the danceWhom I met at the mosque PLEASE HELP SOON!What kind of reaction occurs in an electrolytic cell? What characterizes its voltage?I know a redox reaction occurs in electrolytic cells, but am confused about the second part, please help!