How Far Does a Rolling Coin Travel Before Stopping?

[physics1234]

A coin with a diameter of 2.20 cm is dropped on edge onto a horizontal surface. The coin starts out with an initial angular speed of 15.9 rad/s and rolls in a straight line without slipping. If the rotation slows with an angular acceleration of magnitude 1.76 rad/s2, how far does the coin roll before coming to rest?

 

[SGT]

The formula for calculating angular velocity is similar to the one for linear velocity.
omega(t) = omega(0) + alpha*t
if you set the final angular velocity to zero, you can calculate the amount of time to stop.