How Far Does a Rolling Coin Travel Before Stopping?

[Leid_X09]

A coin with a diameter of 1.50 cm is dropped on edge onto a horizontal surface. The coin starts out with an initial angular speed of 13.4 rad/s and rolls in a straight line without slipping. If the rotation slows with an angular acceleration of magnitude 2.03 rad/s2, how far does the coin roll before coming to rest?


I know that wf^2 = wi^2 + 2a(dTheta) should be used, and I find theta to be 44.2 but the 44.2 is in rads, so how do i translate this into ms? What does the 1.50 diameter have to do with this problem?

 

[LowlyPion]

A coin with a diameter of 1.50 cm is dropped on edge onto a horizontal surface. The coin starts out with an initial angular speed of 13.4 rad/s and rolls in a straight line without slipping. If the rotation slows with an angular acceleration of magnitude 2.03 rad/s2, how far does the coin roll before coming to rest?


I know that wf^2 = wi^2 + 2a(dTheta) should be used, and I find theta to be 44.2 but the 44.2 is in rads, so how do i translate this into ms? What does the 1.50 diameter have to do with this problem?

How many radians to one revolution?

What distance is that? Maybe think circumference plays a part?