At time t = 0 s, a wheel has an angular displacement of zero radians and an angu

Question

At time t = 0 s, a wheel has an angular displacement of zero radians and an angular velocity of +25 rad/s. The wheel has a constant acceleration of -0.49 rad/s2. In this situation, the maximum value of the angular displacement, in rad, is closest to:

At time t = 0 s, a wheel has an angular displacement of zero radians and an angular velocity of +25 rad/s. The wheel has a constant acceleration of -0.49 rad/s2. In this situation, the maximum value of the angular displacement, in rad, is closest to:

Explanation / Answer

Given

at t= 0 s , wheel has zero angular displacement and  

w = +25 rad/s

constant acceleration of alpha = -0.49 rad/s2

the maximum value of the angular displacement is theta = ?

we have the equations of motions is W^2 -W0^2 = 2*alpha*theta

here w0=0

W^2 = 2*alpha*theta

25^2 - 2(-0.49)(theta)= 0

Theta = 637.755 rad

the answer is + 638 rad

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