A coin with a diameter of 2.40cm is dropped on edge onto a horizontal surface. The coin starts out with an?

Question

initial angular speed of 18.0rad/s and rolls in a straight line without slipping. If the rotation slows with an angular accelation of magnitude 1.90rad/s^2, how far does the coin roll before coming to rest?

Answer 1

w=18-1.9*t
when w=0, the coin stops rolling
t=18/1.9
The number of radians is
th=18*t-.5*1.9*t^2

th=85.26 radians

there are 2* pi radians in the circumference of the coin
so
85.26*3.14*2.4 is the distance rolled
642.5 cm

j