A disk rotates about a fixed axis with an initial angular velocity of 20 rad/s.

Question

A disk rotates about a fixed axis with an initial angular velocity of 20 rad/s. During a 5.0-s interval the angular velocity decreases to 10 rad/s. Assume that the angular acceleration is constant during the 5.0-s interval. How many radians does the disk turn through during the 5.0-s interval?

A disk rotates about a fixed axis with an initial angular velocity of 20 rad/s. During a 5.0-s interval the angular velocity decreases to 10 rad/s. Assume that the angular acceleration is constant during the 5.0-s interval. How many radians does the disk turn through during the 5.0-s interval?

Explanation / Answer

first find alpha

w = w0 + alpha t

10 = 20 + alpha*5

so alpha = -2

theta = w0 t + 1/2 alpha t^2 = 20*5 - 0.5*2*5^2= 75 radians

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