A wheel rotates without friction about a stationary horizontal axis at the center of the wheel. A constant tangential force equal to 88.0 N is applied to the rim of the wheel. The wheel has radius 0.120 m. Starting from rest, the wheel has an angular speed of 12.4 rev/s after 2.81 s.What is the moment of inertia of the wheel?

Question
Asked Oct 3, 2019
1 views

A wheel rotates without friction about a stationary horizontal axis at the center of the wheel. A constant tangential force equal to 88.0 N is applied to the rim of the wheel. The wheel has radius 0.120 m. Starting from rest, the wheel has an angular speed of 12.4 rev/s after 2.81 s.

What is the moment of inertia of the wheel?

check_circle

Expert Answer

Step 1

Given:

Force = 88 N

Radius of the wheel, r = 0.12 m

Step 2

Calculating the moment of i...

Angular acceleration of the wheel, a -
I
T Fxr 88N
0.12m 10.56 Nm
Initial angular veloity of the wheel, a = 0
Final angular velocity of the wheel, o, = 12.4 rev/s
,= 12.4x 27T= 77.87 rad/s
Time taken to attain the given angular velocity, t = 2.81 s
Using first equation of motion, o, = o+at
Substuting values, 77.87 = 0+xt
I
77.87 0 10.56
x2.81
I
77.8729.67
I
29.67 0.38 kgm
77.87
I 0.38 kgm
help_outline

Image Transcriptionclose

Angular acceleration of the wheel, a - I T Fxr 88N 0.12m 10.56 Nm Initial angular veloity of the wheel, a = 0 Final angular velocity of the wheel, o, = 12.4 rev/s ,= 12.4x 27T= 77.87 rad/s Time taken to attain the given angular velocity, t = 2.81 s Using first equation of motion, o, = o+at Substuting values, 77.87 = 0+xt I 77.87 0 10.56 x2.81 I 77.8729.67 I 29.67 0.38 kgm 77.87 I 0.38 kgm

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Rotational Mechanics

Related Physics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Problems, Section 9 number,10,11. Please answer the questions

A: Solving part 10:

question_answer

Q: The two tug boats pull the oil rig to travel in the direction shown in calm water. (See left directe...

A: (a) In vertical direction oil rig has no velocity means there is no force in y direction

question_answer

Q: Calculate the ratio of the resistance of 12.0 m of aluminum wire 2.1 mm in diameter, to 30.0 m of co...

A: The resistance of copper is,

question_answer

Q: The velocity of a particle moving along the x axis from A to B varies according to the expression vx...

A: The velocity at each time is given by,

question_answer

Q: An apple falls from a tree and strikes the ground without bouncing. What happens to its momentum? Is...

A: The system’s (Earth + apple) initial momentum is zero. When the apple falls towards the Earth, it ga...

question_answer

Q: Jane and Bob see each other when 100 m apart. They are moving toward each other, Jane at speed 2.8m/...

A: Assume that the Jane and Bob are moving along the x-axis

question_answer

Q: A thin circular sheet has a diameter of 7.00 cm and a thickness of 3.50 mm. Using the published dens...

A: The thin circular sheet’s volume is calculated as,

question_answer

Q: Find the acceleration of the body of mass 10.0 kgshown below:

A: Given information:Mass of the body (M) = 10 kgThe forces acting on the body:

question_answer

Q: A brick is thrown upward from the top of a building at an angle of 15° to the horizontal and with an...

A: The expression for the height of the building is,