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A ball rolls from rest to an angular velocity of 4 radians per second. The angle...

A ball rolls from rest to an angular velocity of 4 radians per second. The angle it turns through is 4 radians. What was the angular acceleration of the ball? A. 16 radians/second2 B. 0.5 radians/second2 C. 8 radians/second2 D. 2 radians/second2

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Answer #1

Initial angular velocity, i = 0
Final angular velocity, f = 4 rad/s
Distance traveled, = 4 rad
Consider the angular acceleration be .

Using the equation, (f)2 - (i)2 = 2,
= [(f)2 - (i)2] / 2
Substituting the values,
= [16 - 0] / [2 x 4]
= 2 rad/s2 (option D)

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