Awheel initially has an angular velocity of 18 rad/s, but is slowing at a rate of

b. 81 rad

Explanation:

First of all, we need to understand how much time it takes for the wheel to stop. This can be calculated by using the equation

where

is the angular velocity at time t

is the initial angular velocity

is the angular acceleration (negative because the wheel is slowing down)

is the time

If we substitute , we can calculate the time t at which the wheel stops:

And now we can use the equation for the angular displacement to calculate the total angle covered by the wheel during this time:

A

Explanation:

A. Objects in motion tend to stay in motion unless acted upon by an outside force.