Suppose a wheel of radius 0.9 m rolls without slipping down a hill with a constant slope. An observer, Jane, knows the length of the hill is 25 m and that the wheel started from rest at the top of the hill. She also timed the wheel as taking 7.2s to reach the bottom. The wheel's acceleration is constant. Her ultimate goal is to find the angular acceleration of the wheel. So, knowing the kinematic equations for translation in 1-dimension, she first calculates the translational acceleration of the center of the wheel in m/s^2. She then uses this to find what she is after. What is the angular acceleration of the wheel while rolling without slipping down the hill, in rad/s^2?
Suppose a wheel of radius 0.9 m rolls without slipping down a hill with a constant slope. An observer, Jane, knows the length of the hill is 25 m and that the wheel started from rest at the top of the hill. She also timed the wheel as taking 7.2s to reach the bottom. The wheel's acceleration is constant.
Her ultimate goal is to find the
What is the angular acceleration of the wheel while rolling without slipping down the hill, in rad/s^2?
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