A motorcycle, which has an initial linear speed of 9.7 m/s, decelerates to a speed of 4.0 m/s in 4.4 s. Each wheel has a radius of 0.61 m and is rotating in a counterclockwise (positive) directions.
What is (a) the constant angular acceleration (in rad/s2) and (b) the angular displacement (in rad) of each wheel?

Answers

Answer 1

Hi there!

We can begin by solving for the linear acceleration as we are given sufficient values to do so.

We can use the following equation:

vf = vi + at

Plug in given values:

4 = 9.7 + 4.4a

Solve for a:

a = -1.295 m/s²

We can use the following equation to convert from linear to angular acceleration:

a = αr

a/r = α

Thus:

-1.295/0.61 = -2.124 rad/sec² ⇒ 2.124 rad/sec² since counterclockwise is positive.

Now, we can find the angular displacement using the following:

θ = ωit + 1/2αt²

We must convert the initial velocity of the tire (9.7 m/s) to angular velocity:

v = ωr

v/r = ω

9.7/0.61 = 15.9 rad/sec

Plug into the equation:

θ = 15.9(4.4) + 1/2(2.124)(4.4²) = 20.56 rad


Related Questions

Your in an escape room. Only its real and your oxygen runs out in 3 minutes unless you solve this problem, The problem :a ball is thrown and travels 30 inches before bouncing, It bounces and travels 50% of the distance traveled. It continues to do this until coming to rest. What is the total distance traveled by ball? Also it's cold and dark and you have no phone nor anyone to ask. You have no ball

Answers

60 inches

because if 30=50% then 60=100% so its 60 inches

The sum of the series allows to find the result for the total distance that the ball bounces is:

            total distance = 59.52 in

A series is a set of things or numbers related by a specific operation.

They indicate that the ball falls from an initial height y₀ = 30 in. and it bounces 50% of the height and the process is repeated until it stops, see attached.

Let's build a table to observe the sequence.

drop   height    rebound

   1        30          15

   2       15            7.5

   3        7.5         3.75

If we call the first term y₀  

The first bounce can be found.

                             y₁ = [tex]\frac{y_o}{2}[/tex]

The second bounces.

                             [tex]y_2 = \frac{y_1}{2} \\y_2 = \frac{y_o}{4}[/tex]

The third bounce.

                             [tex]y_3 = \frac{y_2}{2} \\y_3 = \frac{y_0}{ 8}[/tex]

By observing this table we can construct a series of the form

 

      Total distance = [tex]y_o \ ( 1 + \frac{1}{2} + \frac{1}{4}+ \frac{1}{8} + ... +\frac{1}{2n} )[/tex]

The sum of the serie has a result of

        sum  = 127/64 = 1,984

Let's calculate

     distance total  = 30 1,984

     Distance total = 59.52 cm

In conclusion, using the sum of the series we can find the result for the total distance that the ball bounces is:

            total distance = 59.52 in

Learn more here: https://brainly.com/question/8879163

Why does the sky appear red and yellow during sunsets.
1. The reds and yellows are caused by the Sun's light having to pass through dust particles near closer to the horizon than when the Sun is higher in the sky.

2. At sunset the prismatic effect of the atmosphere at low angles produces longer red and yellow wavelengths.

3. At sunset blue light is scattered by air molecules at higher altitudes. The longer red and yellow wavelengths must travel further through the atmosphere when the Sun is near the horizon. At some point the reds and yellows finally scatter in the lower atmosphere causing the reds and yellows.

4. The red and yellows are appear at sunset because the light must pass through more atmosphere which slows down the wavelength frequency turning it to slower red and yellow frequencies.

Answers

Answer:

The answer should be 3-At sunset blue light is scattered by air molecules at higher altitudes. The longer red and yellow wavelengths must travel further through the atmosphere when the Sun is near the horizon. At some point the reds and yellows finally scatter in the lower atmosphere causing the reds and yellows.

Answer:

3. At sunset blue light is scattered by air molecules at higher altitudes. The longer red and yellow wavelengths must travel further through the atmosphere when the Sun is near the horizon. At some point the reds and yellows finally scatter in the lower atmosphere causing the reds and yellows.

the push up is dynamic or static​

Answers

Answer:

Dynamic exercises

Explanation:

what is translator disadvantage?​

Answers

Machine translators:

Level of accuracy can be very low.

Accuracy is also very inconsistent across different languages.

Machines can't translate context.

Mistakes are sometimes costly.

Sometimes translation simply doesn't work.

Human translators:

Turnaround time is longer.

Translators rarely work for free.

Unless you use a translation agency, with access to thousands of translators, you're limited to the languages any one translator can work with.

PLEASE HELP! I USED 100 POINTS!
Complete the sentence.

_____ are cracks in rock layers, and the pressures within the crust can push one of these layers past another.

A. Faults
B. Tectonic plates
C. Stalagmites

Subject: Science

Answers

Answer:

A i think its right im postivite

Answer: A. Faults

Explanation: ;-; its easy because faults are cracks and they can push layers past each other making tectonic plates rub against each other then creating a earthquake

During the experiment it is determined that, as the cart rolls between two points on the track, the work done on the cart by the hanging masses and other forces present is 0.91 J. At the initial time of observation the cart moves with speed 0.61 m/s. Determine the speed at the second point of observation. The mass of the cart is 0.80 Kg.

Answers

Answer:

Explanation:

If the work done on the cart is NET work

Then the work will result in an increase in kinetic energy

KE₀ + W = KE₁

½mv₀² + W = ½mv₁²

½(0.80)(0.61²) + 0.91 = ½(0.80)v₁²

v₁ = 1.626991...

v₁ = 1.6 m/s

The speed of the cart at the second point of observation is equal to 1.62 m/s.

What is the work done?

Work can be demonstrated as the energy utilized when a force is exerted to make an object move through a particular displacement. Work done by this force is calculated from the product of the magnitude of the exerted force (F) and the distance (d) covered by the body

W= F.d

Where 'F' is the exerted force and 'd' is the displacement and W is work done.

Work and energy have a direct relationship with each other. Work done by an object can be expressed as a change in kinetic energy:

[tex]W =\frac{1}{2}mv_2^2- \frac{1}{2}mv_1^2[/tex]

Where m is the mass of the object, v₂ is the final velocity (m/s), and v₁ is the initial velocity (m/s).

Given, the work done by the cart, W = 0.91 J

The mass of the cart, m = 0.80 Kg

The speed of the cart at the first point, v₁ = 0.61 m/s

[tex]0.91 =\frac{1}{2}\times 0.80 \times v_2^2- \frac{1}{2}0.80 \times (0.61)^2[/tex]

0.40 v₂² = 1.06

v₂² = 2.65

v₂ = 1.62 m/s

Learn more about work, here:

brainly.com/question/13662169

#SPJ2

PLEASE HELP DUE TODAY
When same vectors are in the same direction they add. When same vectors are in opposite directions, they

a, also add
b, subtract
c, multiply
d, divide

Answers

Answer:

The answer is a (also add)

Starting from rest, a racecar moves 112 m in the first 7 s of uniform acceleration. What is the car's acceleration?​

Answers

Answer:

215mph

Explanation:

multiply 112milws by 2 and multiple that by seven, then divide it by two

A. A small, closed chamber of gas is heated. When the gas in the
chamber expands, it does 5 J of work on a piston. The gas has
an initial energy of 8 J and a final energy of 30 J. Considering
the equation for the first law of thermodynamics (AU = Q + W.
does the work done in this scenario have a positive or negative
value? Explain.
B. How much heat is added to the gas in the chamber?

Answers

A.

The work has a negative value.

Since the gas in the chamber expands, it increases in volume and does positive work on the piston since the change in volume is positive.

Work, W = pΔV. Since the gas expands, ΔV > 0. So, W > 0. Thus Work done by the gas is positive.

Since in ΔU = Q + W, W here is work done by the surroundings, W is negative since it is the opposite of the work done on the surroundings by the gas..

So, the work has a negative value.

B.

The heat added to the gas chamber is 17 J

From the first law of thermodynamics, ΔU = Q + W where ΔU = internal energy change = U₂ - U₁ where U₁ = initial energy = 8 J and U₂ = final energy = 30 J, Q = heat added to the gas chamber and W = work on piston = - 5 J

ΔU = Q + W

U₂ - U₁  = Q + W

30 J - 8 J = Q + (-5 J)

22 J = Q - 5 J

Q = 22 J + 5 J

Q = 27 J

The heat added to the gas chamber is 27 J.

Learn more about first law of thermodynamics here:

https://brainly.com/question/15994025

a police finds skid marks 60m long on a highway showing where a car made an emergency stop. assuming that the acceleration was -10m/s2. how fast was the car going and did it exceed the sooed limit of 80km/h?​

Answers

the answer is 029 and 177 hours later i’m going on my grandma to

Answer:

029 and 177

simple luv:)

Explanation:

Given that T= [L] * [m] Y [Lt-2]Z
Find

1) Y

2)X

3)Z

Answers

Answer:

2

Explanation:

please mark me as brainlist i need it so sorry

3. pinapatupad ng inyong lungsod ang pagpapanatili ng mga tao sa bahay sa araw ng Linggo
dahil sa nararanasang pandemya. Alin ang dapat gawin ng mga mamamayan?
a. Maagang pumunta sa dagat at doon magpalipas ng maghapon.
b. Magpunta sa simbahan at doon manatili sa buong araw.
a Pumunta sa kamag anak sa kabilang lungsod.
d. Manatili sa loob ng bahay sa buong araw.

Answers

Answer:

d because u now

Explanation:

sana makatulong

a process generates 250 watts of useful energy and 600 watts of waste energy. WhT is the efficiency of the process?
O29percent
O2.4percent
O42 percent
O71percent

Answers

The efficiency of the process is 42%

From the question given above, the following data were obtained:

Useful energy = 250 watt

Wasteful energy = 600 watt

Efficiency =?

The efficiency of the process can be obtained as illustrated below:

[tex]efficiency \: = \frac{useful \: energy}{wasteful \: energy} \times 100 \\ \\ efficiency \: = \frac{250}{600} \times 100 \\ [/tex]

Efficiency = 42%

Therefore, the efficiency of the process is 42%

Learn more: https://brainly.com/question/2300041

Answer:

Its actually 29%

Explanation:

Took the Test

The octopus’s tentacle keeps _ right after it is bitten off ? a. Moving b. Breathing c. Growing

Answers

Answer:

The answer is A

Explanation:

The octopus’s tentacle keeps moving right after it is bitten off

i’m confused on this worksheet can someone help

Answers

Answer:

well for C the horse is at rest at 10 to 15

D is 0 to 10

E is 15 to 25

Explanation:

If you search up examples it will help with this worksheet.

If I am work then I appologize

why is cooking faster with a pressure cooker. plz help me I beg​

Answers

Explanation:

The same thing happened in pressure cooker but the temperature inside is most higher.

hope you like my answer

thank you

Because cooking reactions speed up at a higher temperature also the boiling temperature of water increases and hence, the food cooks faster.

source:

https://www.vedantu.com/question-answer/a-pressure-cooker-reduces-cooking-time-for-food-class-9-chemistry-cbse-5feaba32e9fb3d3419e4a61a

You apply the same force to two objects. Object 1 has mass M and object 2 has mass 5M. The acceleration of object 2 is

Select one:

a. one-fifth as that of object 1.


b. ten times that of object 1.


c. has no relation to that of object 1.


d. the same as that of object 1.


e. five times that of object 1.

Answers

five times that of object l

g A 150-kg object and a 450-kg object are separated by 4.90 m. (a) Find the magnitude of the net gravitational force exerted by these objects on a 39.0-kg object placed midway between them. 130000000000 Incorrect: Your answer is incorrect. Draw a picture of the three objects, including the forces exerted on the third. N (b) At what position (other than an infinitely remote one) can the 39.0-kg object be placed so as to experience a net force of zero from the other two objects

Answers

Answer:

BBbbb

Explanation:

B is the correct answer:))))


I will mark brainlist

If a wave’s amplitude is 2cm, then its height is equal to:



5 cm.



0 cm



4 cm.



2 cm

Answers

Answer:

4 cm

Explanation:

Amplitude is the measure from the MIDLINE to the peak of the wave....so the wave HEIGHT is twice the ampltude

2 x 2 cm = 4 cm

calculate 18% of 2758 correct to 4 significant figure​

Answers

Answer:

......the answer is 496.4

Light bulbs produce useful energy in the form of light and waste energy in the form of heat. What kind of light bulb would you use
to incubate eggs?

A. low-efficiency light bulbs, because they produce more light

B. low-efficiency light bulbs, because they produce more heat

C. high-efficiency light bulbs, because they produce more heat

D. high-efficiency light bulbs, because they produce more light

Answers

Answer:

C) high efficiency light bulbs, because they produce more heat

Light bulbs produce useful energy in the form of light and waste energy in the form of heat, the kind of light bulb would you use to incubate eggs are low-efficiency light bulbs, because they produce more heat, therefore the correct answer is option B.

What is thermal energy?

It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.

The type of light bulb you would use to incubate eggs is a low-efficiency light bulb since they produce more heat; consequently, option B is the right response. Light bulbs produce useful energy in the form of light and waste energy in the form of heat.

To learn more about thermal energy here, refer to the link given below ;

brainly.com/question/3022807

#SPJ2

Which statement is true?
O A ball with more kinetic energy rolls farther because it is harder to stop.
A ball at its highest speed demonstrates its greatest potential energy.
When a ball comes to a stop, its kinetic energy is greatest.
A ball with less kinetic energy rolls farther because it is harder to stop.

Answers

Answer:

c when a ball stop it's kinetic enegy is the greatest

When a ball comes to a stop, its kinetic energy is greatest is true.

What are the types of energy ?

The energy is the ability to do work or produce action and / or movement and manifests itself in many different ways, such as body movement, heat, electricity, etc.

The various types of energy include Kinetic energy which is associated with the movement of bodies and the  Potential energy is  stored by virtue of a body's position  also called gravitational potential energy.

Thermal Energy  can be referred as the energy  associated with the kinetic energy of the molecules that make up an element, it can be manifested if there is a temperature difference between two bodies.

Chemical energy released or formed from chemical reactions, Solar energy from sunlight. This form of energy is used to generate electricity through photovoltaic plates, for example.

For more details regarding energy, visit

brainly.com/question/28869293

#SPJ2

calculate the change in gravitational potential energy when a 10kg object falls from 6m on earth

Answers

Answer:

600

Explanation:

GPE=mgh (mass*gravitational force*height)

m=10 kg

g=10

h=6m

10*10*6= 600 Joules

)Suppose you have two insulated buckets containing the same amount of water at room temperature. You also happen to have two blocks of metal of the same mass, both at the same temperature, warmer than the water in the buckets. One block is made of aluminum and one is made of copper. You put the aluminum block into one bucket of water, and the copper block into the other. After waiting a while you measure the temperature of the water in both buckets. Which is warmer

Answers

The water in the bucket containing the aluminium block is warmer than the bucket containing the copper block.

The specific heat is the amount of heat needed or required to elevate the temperature of 1 gram of a substance by 1° C.

At standard conditions;

the specific heat of aluminium = 0.215 cal/gm/° Cthe specific heat of copper = 0.0923  cal/gm/° C

We know that:

Heat loss by the metal block = Heat gained by the water bucket

Therefore, since the specific heat of aluminium is higher than that of copper, the water bucket containing aluminium block will be warmer than the bucket containing the copper block.  

Learn more about specific heat here:

https://brainly.com/question/12474790?referrer=searchResults

A object travels at constant negative acceleration. What does the graph of the object's velocity as a fun
(1 point)
O a curved line increasing from left to right
O a straight line with negative slope
O a straight line with positive slope
O a curved line decreasing from left to right

Answers

Constant = straight line
“Travels at constant negative acc.”
Which is negative slope

Solution: B. Straight line w/ neg. slope

Calculate the torque produced by a 50.0 N perpendicular force at the end of a 0.300 m long wrench.

Answers

Answer:

Torque = 50N x 0.3m = 15Nm

Explanation:

Torque = Force x length of lever arm. To obtain the torque simply multiply the two given values.

when a torque is acting on a fly wheel the angular velocity of the fly wheel changes from 10rad/sec to 25rad/sec in 5sec.what will be the magnitudes of the angular acceleration of the fly wheel?​

Answers

Hello!

We can use the following angular kinematic equation to solve:

α = Δω/Δt, or (ωf-ωi)/t

Plug in the given values:

α = (25 - 10)/5 = 15/5 = 3 rad/sec²

A baseball is hit with a speed of 30.0 m/s at an angle of 47.0 ∘ . It lands on the flat roof of a 11.0 m -tall nearby building. If the ball was hit when it was 1.4 m above the ground, what horizontal distance does it travel before it lands on the building?

Answers

Answer:

500m/s

Explanation:

ma thii nay pathe me thuda dase dangur ni puthar

500m/s
This might help u
Pls mark me as a brainlist

A rod of length 0.82 m, rotating with an angular speed, 4.2 rad/s, about axes that pass perpendicularly through one end, has a mass of 0.63 kg, which is distributed uniformly along its length. Find the kinetic energies of the rod.

Answers

Hi there!

[tex]\large\boxed{KE =1.245 J}}[/tex]

The equation of angular kinetic energy is:

[tex]KE = \frac{1}{2}Iw^2[/tex]

Where:

I = moment of inertia (kgm²/s)

ω = angular speed (rad/sec)

A rod rotated about one of its endpoints has a standard moment of inertia of 1/3mR², so:

[tex]KE = \frac{1}{2}(\frac{1}{3}mL^2w^2)[/tex]

[tex]KE = \frac{1}{6}mL^2w^2[/tex]

Plug in the given values:

[tex]KE = \frac{1}{6}(0.63)(0.82^2)(4.2^2) = 1.245 J[/tex]

A stone is allowed to fall from the top of the tower 100m high at the same moment another stone is projected vertically upward with a velocity of 25m/s. Where and when will the two cross each other​

Answers

Answer:

both the stone will meet at a distance of 80 m from the top of tower.

Explanation:

let "t" = time after which both stones meet

"S" = distance travelled by the stone dropped from the top of tower

(100-S) = distance travelled by the projected stone.

◆ i) For stone dropped from the top of tower

-S = 0 + 1/2 (-10) t²

or, S = 5t²

◆ ii) For stone projected upward

(100 - S) = 25t + 1/2 (-10) t²

= 25t - 5t²

Adding i) and ii) , We get

100 = 25t

or t = 4 s

Therefore, Two stones will meet after 4 s.

◆ ¡¡¡) Put value of t = 4 s in Equation i) , we get

S = 5 × 16

= 80 m.

Thus , both the stone will meet at a distance of 80 m from the top of tower.

(Hope this helps can I pls have brainlist (crown)☺️)

Other Questions
How to solve quadratic using completing the square. Question 10 of 10Your company emphasizes the important of conserving (not wasting)resources. How can you support that value when you print an 8-page reportyou were asked to bring to your department's monthly meeting?O A. Use the Print option for two-sided printing.OB. Use the Print option to create extra copies.C. Post the report online before printing it.O D. Use the Save option to choose a format readers can open. what is the process called that creates new ocean floor? Bonnie read an informational text about the cello for music class. In her analysis, she made the following claim:The cello is a difficult instrument to play.Which explicit evidence from the text would best support Bonnies analysis?A) A cellist must learn accurate finger placement by ear and practice for several hours daily.B) The cello has four strings that lie across the bridge piece; it does not have marked frets.C) The cello is a string instrument, like a violin, and plays mostly on the bass clef of the music staff.D) YoYo Ma is a famous modern cellist, and his collaborations with popular artists have helped revive interest in the cello. 5.You are driving at a constant speed of 20 m/s when you suddenly hit a patch large oil slick. You slam on the brakes and eventually skid to a complete stop. The skid marks are 40 meters long. Calculate the coefficient of kinetic friction between the oil-covered roadand the car tires. how did the 1921 Tulsa Massacre begin ? Suppose that you take 1000 simple random samples from a population and that, for each sample, you obtain a 95% confidence interval for an unknown parameter. Approximately how many of those confidence intervals will contain the value of the unknown parameter? Is there more than one possible model that could be inferred from Rutherfords data? (01.07 MC) worth 50 points Fracking uses highly pressurized fluids, such as water mixed with sand and chemicals, to drive open cracks that exist in underground rock. Which statementbest describes an environmental consequence of this process for ecosystems?O Wastewater is contaminated with oil and becomes sludge in landfillsO Water vapor is released into the air, which is considered a greenhouse gas,Heavy metals are released into surrounding soil, poisoning local vegetationO Billions of gallons of water are pulled from surrounding areas What information emerges from the revelation that Jack is Lady Bracknell's nephew? Select all that applyJack is Gwenodlen's cousinJack is Algernon's brotherJack is Miss Prism's sonJack's name is ErnestI need this by tonight please help Find the perimeter. Simplify your answer. Help please due today !!!! 20 points!! given m || n, find the value of x and y. All the members of this family (inner transition metals) are both ______________ and _____________.(HURRY PLS) Genes from genetically modified corn frequently move to non-genetically modified corn plants because of outcrossing. This is a major concern to ______. Multiple choice question. transgenic crop manufacturers because outcrossing can lead to loss of introduced genes from transgenic plants herbicide manufacturers because of the potential for the evolution of super weeds organic farmers, whose fields are close to transgenic corn, because transgenic crops cannot be certified as organic Which body system is depicted in the body What are 2 multiplication expressions that have the product of 28.34 ?!?!?!? NEED HELP ASAP!!!! Which key idea does Fuller develop in Woman of the Nineteenth Century? With the support of men, women are increasingly safer in domestic relationships. Men are denying women and enslaved people the unalienable rights they are born with. Men should do more to help women and enslaved persons to function independently. Reasonable men will understand that as society progresses, it must also adapt to the needs of its members.Question 2Which detail from the text contributes to the development of the key idea identified in Part A?But I will not, for the public opinion of their own sex is already against such men, and where cases of extreme tyranny are made known, there is private action in the wife's favor.Given these circumstances, these are some of the reasons for the changes demanded by the champions of Woman. We hail them as signs of the times.The gift of reason, Man's highest prerogative, is assigned to them in much lower degrees. There exists in the minds of men a similar tone of feeling toward women as toward enslaved persons, such as is expressed in the common phrase, "Tell that to women and children." There is but one law for souls, and, if there is to be an interpreter of it, he must come not as man, or son of man, but as son of God. What is a solute?substance in which another substance dissolves and mixes evenly Aa solution unable to be separated by any means Ba mixture that can easily be separated with simple tools Cthe substance that dissolves into another substance D Pls answer the question according on what you see in the image attached(3rd time I'm posting this, I need a real answer!)What elements did the artist use in the image?What principles did the artist use?In your opinion, how did the artist achieve unity?