Grace, playing with her dolls, pretends the turntable of an old phonograph is a merry-go-round. The dolls are 12.7 cm from the central axis. She changes the setting from 33.3 rpm to 45.0 rpm.
(a) For this new setting, what is the linear speed of a point on the turntable at the location of the dolls?
(b) If the coefficient of static friction between the dolls and the turntable is 0.13, do the dolls stay on the turntable?