An insulated tank contains 50 kg of water, which is stirred by a paddle wheel at 300 rpm while transmitting a torque of 0.1 kN-m. At the same time, an electric resistance heater inside the tank operates at 110 V, drawing a current of 2 A. Determine the rate of heat transfer after the system achieves steady state.

Answers

Answer 1

Answer:

the rate of heat transfer after the system achieves steady state is -3.36 kW

Explanation:

Given the data in the question;

mass of water m = 50 kg

N = 300 rpm

Torque T = 0.1 kNm

V = 110 V

I = 2 A

Electric work supplied W₁ = PV = 2 × 110 = 220 W = 0.22 kW

Now, work supplied by paddle wheel W₂ is;

W₂ = 2πNT/60

W₂ = (2π × 0.1 × 300) / 60

W₂ = 188.495559 / 60

W₂ = 3.14 kW

So the total work will be;

W = 0.22 + 3.14

W = 3.36 kW

Hence total work done on the system is 3.36 kW.

At steady state, the properties of the system does not change so the heat transfer will be 3.36 KW.

The heat will be rejected by the system so the sign of heat will be negative.

i.e Q = -3.36 kW

Therefore,  the rate of heat transfer after the system achieves steady state is -3.36 kW


Related Questions

PLEASE HELP ME WITH THIS ONE QUESTION
The color orange has a wavelength of 590 nm. What is the energy of an orange photon? (h = 6.626 x 10^-19, 1 eV = 1.6 x 10^-19 J)

A) 2.81 eV

B) 3.89 eV

C) 2.10 eV

D) 2.78 eV

Answers

The color orange has a wavelength of 590 nm. The energy of an orange photon is approximately 0.337 eV.

The correct answer is option E.

To calculate the energy of a photon, we can use the equation:

E = (hc) / λ

where E is the energy of the photon, h is the Planck's constant (6.626 x [tex]10^-^3^4[/tex]J·s or 6.626 x[tex]10^-^1^9^[/tex] eV·s), c is the speed of light (3.00 x [tex]10^8[/tex] m/s), and λ is the wavelength of the light.

Given that the wavelength of orange light is 590 nm (or 590 x [tex]10^-^9[/tex]m), we can substitute the values into the equation:

E = [(6.626 x[tex]10^-^1^9^[/tex] eV·s) x (3.00 x [tex]10^8[/tex] m/s)] / (590 x[tex]10^-^9[/tex]m)

E = (1.9878 x [tex]10^-^1^0[/tex]eV·m) / (590 x [tex]10^-^9[/tex] m)

E = 3.3695 x [tex]10^-^1[/tex] eV

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The question probable may be:

The color orange has a wavelength of 590 nm. What is the energy of an orange photon? (h = 6.626 x [tex]10^-^1^9^[/tex], 1 eV = 1.6 x[tex]10^-^1^9^[/tex]J)

A) 2.81 eV

B) 3.89 eV

C) 2.10 eV

D) 2.78 eV

E)  0.337 eV

what is newtons 2nd law​

Answers

According to the Newton's second law :- The acceleration of an object is directly related to the net force and inversely related to its mass. Acceleration of an object depends on two things, force and mass.

PLEASE HELP!! URGENTT!

Answers

Answer:

120 Newton

Explanation:

Given the following data;

Mass = 12 kg

Angle = 4°

We know that acceleration due to gravity is equal to 10 m/s

To find the minimum force to stop the block from sliding;

Force = mgCos(d)

Where;

m is the mass of an object.

g is the acceleration due to gravity.

d is the angle of inclination (theta).

Substituting into the formula we have;

F = 12*10*Cos(4°)

F = 120 * 0.9976

F = 119.71 ≈ 120 Newton

A car is moving at 10 m/s on a horizontal road with friction on a dry day. The car can travel around a traffic circle with a minimum radius of 4.8 meters. It rains and the car around a traffic circle with a minimum radius of 11.8 meters. What is the percentage of the coefficient of static friction on the rainy day compared to the dry day

Answers

Answer:

[tex]\mu_w=86\%[/tex]

Explanation:

From the question we are told that:

Velocity on Dry road [tex]V_d=10m/s[/tex]

Radius Dry [tex]r_d=4.8[/tex]

Radius wet [tex]r_w=11.8[/tex]

Generally the equation for coefficient of static friction on the dry day is mathematically given by

[tex]\mu mg=\frac{mv^2}{r_d}[/tex]

[tex]\mu g=\frac{v^2}{r_d}[/tex]

[tex]\mu_d 9.8=\frac{10^2}{4.8}[/tex]

[tex]\mu_d=2.125[/tex]

Generally the equation for the relationship between Radius & coefficient of static friction is mathematically given by

[tex]\frac{\mu_d}{\mu_w}=\frac{r_d}{r_w}[/tex]

[tex]\frac{\mu_w}{2.125}=\frac{4.8}{11.8}[/tex]

[tex]\mu_w=0.86[/tex]

Therefore

[tex]\mu_w=86\%[/tex]

Which statement describes an action-reaction pair?
O A. You push on a car, and the car pushes back on you.
B. A book pushes down on a table, and the table pushes down on the
Earth.
C. The Moon pulls on Earth, and Earth pulls on the Sun.
D. You push down on your shoe, and Earth's gravity pulls down on the
shoe.

Answers

Answer:

A

Explanation:

a pex

Erica (37 kg ) and Danny (45 kg ) are bouncing on a trampoline. Just as Erica reaches the high point of her bounce, Danny is moving upward past her at 4.7 m/s . At that instant he grabs hold of her. What is their speed just after he grabs her?

Answers

Answer:

V = 2.58 m/s

Explanation:

Below is the calculation:

Given the weight of Erica = 37 kg

The weight of Danny = 45 kg

Danny's speed to move upward = 4.7 m/s

Use below formula to find the answer.

m1 * u1 = (m1+m2) * V

V = m1*u1 / (m1+m2)

Here, m1 = 45

u1 = 4.7

m1 = 45

m2 = 37

Now plug the values in formula:

V = m1*u1 / (m1+m2)

V = (45*4.7)/(45+37)

V = 2.58 m/s

A truck collides with a car on horizontal ground. At one moment during the collision, the magnitude of the acceleration of the truck is 12.7 m/s^2. The mass of the truck is 2490 kg and the mass of the car is 890 kg. Assume that the only horizontal forces on the vehicles during the collision are the forces they exert on one another.

Required:
What is the acceleration of the car at the same moment?

Answers

Answer:

The magnitude of the acceleration of the car is 35.53 m/s²

Explanation:

Given;

acceleration of the truck, [tex]a_t[/tex] = 12.7 m/s²

mass of the truck, [tex]m_t[/tex] = 2490 kg

mass of the car, [tex]m_c[/tex] = 890 kg

let the acceleration of the car at the moment they collided = [tex]a_c[/tex]

Apply Newton's third law of motion;

Magnitude of force exerted by the truck = Magnitude of force exerted by the car.

The force exerted by the car occurs in the opposite direction.

[tex]F_c = -F_t\\\\m_ca_c = -m_t a_t\\\\a_c =- \frac{m_ta_t}{m_c} \\\\a_c = -\frac{2490 \times 12.7}{890} \\\\a_c = - 35.53 \ m/s^2[/tex]

Therefore, the magnitude of the acceleration of the car is 35.53 m/s²

Answer:

The magnitude of the acceleration of the car is 35.53 m/s²

Explanation:

Given;

acceleration of the truck, = 12.7 m/s²

mass of the truck, = 2490 kg

mass of the car, = 890 kg

let the acceleration of the car at the moment they collided =

Apply Newton's third law of motion;

Magnitude of force exerted by the truck = Magnitude of force exerted by the car.

The force exerted by the car occurs in the opposite direction.

Therefore, the magnitude of the acceleration of the car is 35.53 m/s²

A slingshot obeys Hooke's law and is used to launch pebbles vertically into the air. You observe that if you pull a pebble back 20 cm against the elastic
band, the pebble goes 6 m high. Assuming that air drag is negligible, if you pull a pebble that is twice as heavy back 20 cm, how high will it go?
4 m
5 m
3 m
6 m

Answers

Answer:

24 m

Explanation:

By applying the law of conservation of energy.

K.E = P.E

[tex]\dfrac{1}{2}kx^2 = mgh[/tex]

By rearrangement;

[tex]\dfrac{k}{m} = \dfrac{2*g*h}{x^2}[/tex]

where;

k = spring constant

m = mass of pebble

h = height reached

x = stretched length

[tex]\dfrac{k}{m} = \dfrac{2*9.8*6}{(20 \times 10^{-2})^2}[/tex]

[tex]\dfrac{k}{m} =0.2940 \times 10^4[/tex]

Since the drag force is negligible;

[tex]\dfrac{1}{2}kx^2 = mgh[/tex]

[tex]h = \dfrac{k}{m}\dfrac{x^2}{g}[/tex]

[tex]h = \dfrac{1}{2}\times 0.2940 \times 10^4 \times \dfrac{(40\times 10^{-2})^2}{9.8}[/tex]

h = 24 m

A toy car of mass 600g moves through 6m in 2 seconds. The average kinetic energy of the toy car is​

Answers

Answer:

12

Explanation:

I'm a beginner so am not sureeeeee

a 1600 kg car rounds a curve of radius 71 m banked at an angle of 15, What is the magnitude of the friction force required for the car to travel at 86 km/h

Answers

Answer:

The frictional force required for the car to travel is 8,365.01 N

Explanation:

Given;

mass of the car, m = 1600 kg

radius of the curved road, r = 71 m

banking angle, θ = 15⁰

velocity of the car, v = 86 km/h = 86/3.6 = 23.89 m/s

The two forces acting on the are:

1.  the parallel force to the banked plane

2. the centripetal force pushing the car up the banked plane

To keep the car traveling at 86 km/h;

frictional force + parallel force to the plane = centripetal force pushing the car up the banked plane

The parallel force to the banked plane:

F = mgsinθ

F = 1600 x 9.8 x sin(15⁰)

F = 4,057.98 N

The centripetal force pushing the car up the banked plane:

[tex]F_c= (\frac{mv^2}{r} )cos(\theta)\\\\F_c = (\frac{1600 \times 23.89^2}{71} )cos(15^0)\\\\F_c = 12,422.99 \ N[/tex]

The frictional force required for the car to travel:

[tex]F_k = F_c - F\\\\F_k = 12,422.99 \ N - 4,057.98 \ N\\\\F_k = 8,365.01 \ N[/tex]

Therefore, the frictional force required for the car to travel is 8,365.01 N

planet a takes one year to go around the sun at a distance of one au. .planet b is three a u. from the sun. how many years does planet b take to orbit?

Answers

Answer:

3 years

Explanation:

Find the circumference of each orbit in AU.

2xπx1=6.283185307

2xπx3=18.84955592

Divide them.

18.84955592/6.283185307=3

3 years

Komal found that her vial of isopropyl alcohol showed a much better surface
tension bubble shape (a higher bubble) than her vial of water. Her peer group
suggested some experimental errors that may have caused this to happen.
Which three experimental errors are most likely to have occurred?

Answers

Answer:

A B C

Explanation:just took the test

Answer:

Komal could have mixed up the labels on the vials.

Someone might have jiggled the table and made the water surface tension bubble spill over.

The water could actually have been saltwater instead of pure water.

Explanation:

...........................

violations in a responsible manner in a democratic society?
Activity 5:
Ending
From your findings, what conclusions and recommendations can you make on the
issue of human rights violations to:
5.1
Government​

Answers

Answer:

Kindly check explanation

Explanation:

The trampling and violation of human rights individuals, groups and corporate organizations is really alarming ad as such, the government who are charged to protect the right and interest of its citizen. In other to curtail the trending issues of human right violation, it is imperative if sensitization programmes could be organiz d in other to keep people informed of the various ways in which people's right may be trampled upon. With these education, the ignorance can be expunged leaving only those who genuinely decides to relate and threaten the right of his fellow country person.

The laws on human right violation should be reviewed and capital punishment metted on violators in other to send a strong warning to those who still nurture the intention.

PLEASE HELP ME WITH THIS ONE QUESTION
The half-life of Barium-139 is 4.96 x 10^3 seconds. A sample contains 3.21 x 10^17 nuclei. How much of the sample is left after 1.98 x 10^4 seconds?

a) 8.03 x 10^16 nuclei

b) 4.01 x 10^16 nuclei

c) 2.02 x 10^16 nuclei

d) 1.61 x 10^17 nuclei

Answers

Answer:

c) 2.02 x 10^16 nuclei

Explanation:

The isotope decay of an atom follows the equation:

ln[A] = -kt + ln[A]₀

Where [A] is the amount of the isotope after time t, k is decay constant, [A]₀ is the initial amount of the isotope

[A] = Our incognite

k is constant decay:

k = ln 2 / Half-life

k = ln 2 / 4.96 x 10^3 s

k = 1.40x10⁻⁴s⁻¹

t is time = 1.98 x 10^4 s

[A]₀ = 3.21 x 10^17 nuclei

ln[A] = -1.40x10⁻⁴s⁻¹*1.98 x 10^4 s + ln[3.21 x 10^17 nuclei]

ln[A] = 37.538

[A] = 2.01x10¹⁶ nuclei remain ≈

c) 2.02 x 10^16 nuclei

En 2.0 s, una particula con aceleración constante a lo largo del eje x se mueve desde x =10 m
hasta x =50 m. La rapidez al final del recorrido es de 10 m/s. ¿Cuál es la aceleración de la partícula?

Answers

The correct response is x23

Please need in hurry

Answers

Explanation:

i) center of gravity (or mass)

ii) m = W/g = (160 N)/(9.8 m/s^2)

= 16.3 kg

Which type of energy is stored in a battery?
A. Nuclear energy
B. Electromagnetic energy
C. Chemical energy
D. Electrical energy
SUBMI

Answers

Answer:

c

Explanation:

in food and batteries chemical energy is stored :) hope this helped


how to calculate sound of an echo ​

Answers

by an echo meter

please flw me and thank my answers

#Genius kudi

Consider a sample containing 1.70 mol of an ideal diatomic gas.
(a) Assuming the molecules rotate but do not vibrate, find the total heat capacity of the sample at constant volume. nCv = J/K
(b) Assuming the molecules rotate but do not vibrate, find the total heat capacity of the sample at constant pressure. nCp = J/K
(c) Assuming the molecules both rotate and vibrate, find the total heat capacity of the sample at constant volume. nCv = J/K
(d) Assuming the molecules both rotate and vibrate, find the total heat capacity of the sample at constant pressure. nCp = J/K

Answers

I don't know

because I don't know

You want to calculate how long it takes a ball to fall to the ground from a
height of 20 m. Which equation can you use to calculate the time? (Assume
no air resistance.)
O A. vz? = v? +2aAd
B. a =
V₂-vi
At
O c. At=V1
4
a
O D. At=
2Ad
a

Answers

If a person wants to calculate the length of time it takes for a ball to fall from a height of 20m, the correct equation that they should use is:

D. Δt= √2Δd/a

What is the equation for finding the length of time for a free fall?

The free fall formula should be used to obtain the length of time that it takes for a ball to fall from a given height. This formula also factors the height or distance from which the fall occurred and this is denoted by the letter d. The small letter 'a' is denotative of acceleration due to gravity and this is a constant pegged at -9.98 m/s².

So, the change in height is obtained and multiplied by two. This is further divided by the acceleration and the square root of the derived answer translates to the time taken for the ball to fall from the height of 20m. Of all the options listed, option D represents the correct equation.

Learn more about free fall here:

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can anyone explain soil erosion

Answers

Answer:

Soil erosion is the act of removing the top layer of the soil either by rain wind or human activities

Answer:

l erosion is a gradual process that occurs when the impact of water or wind detaches and removes soil particles, causing the soil to deteriorate. ... The impact of soil erosion on water quality becomes significant, particularly as soil surface runoff. Sediment production and soil erosion are closely related.

Explanation:

A rock is thrown from the top of a building 146 m high, with a speed of 14 m/s at an angle 43 degrees above the horizontal. When it hits the ground, what is the magnitude of its velocity (i.e. its speed).

Answers

Answer:

time is 32 s and speed is 304.3 m/s

Explanation:

Height, h = 146 m

speed, u = 14 m/s

Angle, A = 43 degree

Let it hits the ground after time t.

Use second equation of motion

[tex]h = u t +0.5 at^2\\\\- 146 =14 sin 43 t - 4.9 t^2\\\\4.9 t^2 - 9.5 t - 146 =0 \\\\t =\frac{9.5\pm\sqrt {90.25 + 2861.6}}{9.8}\\\\t=\frac{9.5\pm 54.3}{9.8}\\\\t = 32.05 s, - 22.4 s[/tex]

Time cannot be negative so the time is t = 32 s .

The vertical velocity at the time of strike is  

v' =  u sin A - g t

v' = 14 sin 43 - 9.8 x 32 = 9.5 - 313.6 = - 304.1 m/s

horizontal velocity

v'' = 14 cos 43 =10.3 m/s

The resultant velocity at the time of strike is

[tex]v=\sqrt{v'^2 + v''^2}\\\\v = \sqrt{304.1^2 +10.3^2 }\\\\v = 304.3 m/s[/tex]  

Two objects are separated by a distance D. Which force, in theory, will act on the objects for any value of D?

tension

gravity

normal

friction

Answers

Answer:

here is ur answer...

Explanation:

gravity .......is ur answer

and the value of D is DE³S NU + s

An attractive force that exist between all object with mass attract another objects the magnitude of the force is directly proportional..

Hope this help!

A motor lifts a weight of 5N up to the height of 2m in 4 seconds. What will be the power of motor?​

Answers

2.5 watt

Explanation:

we know

power = work done /time

work done gainst gravity is = mgh

as mg = weight = force = 5 N

and height = 2 m

so work done = mgh = 5*2 = 10N

therefore ,

Power = 10/4 = 2.5 watt

If a person pulls back a rubber band on a slingshot without letting to go of it, what type of energy will the rubber band have? A. Potential energy B. Rotational energy C. Kinetic energy D. Translational energy

Answers

Answer:

Potential energy. Releasing it, the potential energy would convert into motion, kinetic energy.

Potential energy is when an object has some sort of potential eg. for motion such as in this example.

Answer:

A. Potential energy

Explanation:

Potential energy can be thought of as stored energy, which has the potential of becoming kinetic energy once it has been released.

An object is in free fall Group of answer choices Anytime it has an acceleration equal to 9.8 m/s/s Anytime it feels the force of gravity Only if the weight is the only force acting on the object Only when it's moving vertically down

Answers

Answer:

Anytime it feels the force of gravity.

Explanation:

Gravity is considered to be a universal force of attraction which acts between all objects that has both mass, energy and can occupy space. Therefore, it acts in such a way as to bring objects together i.e causing the objects to fall down towards the Earth.

This ultimately implies that, an object is in free fall anytime it feels the force of gravity i.e regardless of how fast the object moves or the direction it moves, the only force acting on the object is the force of gravity (g).

For example, when you throw any object up, it will naturally fall down due to the gravitational force between the Earth and the object.

Additionally, the gravity of earth makes it possible for all physical objects to possess weight.

On planet Earth, the acceleration due to gravity that all physical objects experience is 9.8 meters per seconds square.

if a 230V television takes a current of 3A. calculate it's power​

Answers

Answer:

Formula

P = I x V

Information

V = 230

A = 3

P = x

Calculation

x = 230 x 3

x = 690 W

Explanation:

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Using pascals principle, F1/A1=F2/A2, solve this like a proportion.
A force of 50 N is applied to an area of 200 sq feet, how much force will be applied of the area to be covered is 50 sq feet?

Answers

Answer:

NO CLUE

Explanation:

GOOD LUCK THOUGH

Is the following chemical reaction balanced?
2H202-H2O + O2
yes
no

Answers

The reaction above is not balanced

need in hurry please

Answers

Answer : C

Explanation: The object is the point where P and Q meet
Unlike linear vectors where they are just straight lines and you just add and subtract
This diagram is a 2D vector therefore the resultant is between line P Ana Q and the direction is pointing outward.

I hope this helps :)
Other Questions
Need to choose answers If g(x)= x+2/x-2 and h(x) = 4 - X, what is the value of (GoH)(-3)?A.) 8/5B.) 5/2C.) 15/2D.)18/5 Which of the following is true? Group of answer choices Public schools are more racially segregated now than they were at the beginning of forced busing programs. Busing was found to improve student's racial attitudes and minority students' performance on standardized tests. White flight to suburban schools has made it more difficult to desegregate urban schools. The Supreme Court prohibited forced busing across school district lines in cases where those lines were not drawn deliberately to keep races apart. All of these answers are correct. True or False:The value of y in the given equation is 18.y + 17 = 36True or false Which expression(s) are equivalent to the given expression?6x18y+36 2(3x9y+18) 2 times open paren 3 x minus 9 y plus 18 close paren3(2x6y+12) 3 times open paren 2 x minus 6 y plus 12 close paren4(2x14y+32) 4 times open paren 2 x minus 14 y plus 32 close paren6(x3y+36) 6 times open paren x minus 3 y plus 36 close paren9(6x2y+4) In a changing environment, which of the following would be beneficial for the survival of a species?O offspring with a variety of phenotypesO offspring with little variation in phenotypeO offspring that closely resemble their parentsO offspring that are adapted to a specific environment Frage 4 : Please convert into QUESTIONS . Schwimmen , tauchen , machen , klettern , singen , kommen , heissen ,sein Er ____________ Tennis . Sie ____________ Volleyball . Ich ____________ gern . Du ______________ gern . Wir _____________ gern . Ich _____________ gern . Wir _____________ zusammen Musik . Sie _____________ Saxofon . Du _____________ auch (also ). Sport _________ super .pls anwser quickly pls In the simple Keynesian model, there are three simplifying assumptions. Among these assumptions is: __________ a. the price level is flexible no foreign sector b. the price level is constant until c. the economy reaches its full-employment level d. the money supply always rises b and c That store is _______________ (expensive) than the one near my house. How does glue, borax, and water turn into slime, scientifically? CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU. I have another question plz help Indias caste system made sure that people What is the difference between liberalism and nationalism? answer as soon as possible A card is drawn randomly from a standard 52 card deck. Find the probability of drawing the given card. NO LINKS!!!! 5.Peter earns $9 each hour for the first 40 hours he works each week. For every hour heworks after 40 hours, he earns $12 each hour. Last week Peter earned $444.Which equation could be used to find the number of hours, h, during which Peterearned $12 last week?A. (40 x 9) + h = 444B. (40 x 9) - h = 444C. (40 x 9) + 12h = 444D. (40 x 9) - 12h = 444 Which of the following choices is evidence that the Soviet Union had a command economic system? overexploitation means After getting her degree in Economics, Jeanine went to work for the Bureau of Labor Statistics. She compiles data on the unemployment rate, which serves as an economic indicator. What does this data help Jeanine to understand