How do you solve this? A uniform disk is constrained to rotate about an axis pas

Question

How do you solve this?

A uniform disk is constrained to rotate about an axis passing through its center and perpendicular to the plane of the disk. If the disk starts with an angular velocity of 8.0 rad/s and is subject to a constant angular acceleration of 8.0 rad/s^2, find the angular displacement of a point on the rim of the disk as it rotates under these conditions for 18 s. (Assume the positive direction is in the initial direction of the rotation of the disk. Indicate the direction with the sign of your answer.) ____________ rad

Explanation / Answer

intial angular velocity w1 = 8 rad/s

angular acceleration , a = 8 rad/s^2

time , t= 18 sec

from the relation

theta = w1t + 0.5at^2

angular displacement = 8*18 + (0.5*8*18^2) = 1440 rad

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