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Answer: A wheel is turning about an axis through its
Chapter 9, Problem 38E(choose chapter or problem)
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?
Questions & Answers
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