in the following pully, the circle on the left has a radius of 100cm and is moving at 1 radian/second. the circle on the right has a radius of 40cm. how fast is its linear velocity? What about its angular velocity?

both are in the ratio of 100/40

That is, the smaller wheel turns 2.5 times as fast as the larger one, which is
w = 1 rad/s
v = rw