During the spin cycle of your clothes washer, the tub rotates at a steady angular velocity of 33.3 rad/s. Find the angular displacement of the tub during a spin of 77.5 s, expressed both in radians and in revolutions.

The angular displacement of the tub will be 2580.75 rad or 411 revolutions.

Explanation:

We know the relation between angular velocity (), the angular displacement () and time () is given by

Given = and the time () required to complete a spin is 77.5 s.

Therefore, the required angular displacment () is

Also we know that,

So, the angular displacement of the tub will be 2580.75 rad or 411 revolutions.