Answer: A wheel is turning about an axis through its

Chapter 9, Problem 38E

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QUESTION:

 Problem 38E

A wheel is turning about an axis through its center with constant angular acceleration. Starting from rest, at t = 0, the wheel turns through 8.20 revolutions in 12.0 s. At t = 12.0 s the kinetic energy of the wheel is 36.0 J. For an axis through its center, what is the moment of inertia of the wheel?

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QUESTION:

 Problem 38E

A wheel is turning about an axis through its center with constant angular acceleration. Starting from rest, at t = 0, the wheel turns through 8.20 revolutions in 12.0 s. At t = 12.0 s the kinetic energy of the wheel is 36.0 J. For an axis through its center, what is the moment of inertia of the wheel?

ANSWER:

Solution 38  E

Step 1:

Data given

Velocity

 

Time

Kinetic energy

We need to find moment of inertia

        We shall use

                

Here initial velocity is = 0

Hence we have

                

                

Rearrange to find acceleration a we get

                

                

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