Question

A long string is wrapped around a 6.2cm diameter cylinder, initially at rest, that is free to rotate on an axle. The string is then pulled with a constant acceleration of 1.9 m/s^2 until 1.0 m of string has been unwound. If the string unwinds without slipping, what is the cylinder's angular speed, in rpm, at this time?

Answer 1

angular acceleration= 1.9/.062 rad/sec

wf=angacceleration*time

time can be found by 1m=1/2 1.9 t^2