F=ma 2011 Problem 24

A turntable is supported on a Teflon ring of inner radius R and outer radius R+\delta(\delta \ll R), as shown in the diagram. To rotate the turntable at a constant rate, power must be supplied to overcome friction. The manufacturer of the turntable wishes to reduce the power required without changing the rotation rate, the weight of the turntable, or the coefficient of friction of the Teflon surface. Engineers propose two solutions: increasing the width of the bearing (increasing \delta ), or increasing the radius (increasing R ). What are the effects of these proposed changes?

Answer Choices
A. Increasing \delta has no significant effect on the required power; increasing R increases the required power.
B. Increasing \delta has no significant effect on the required power; increasing R decreases the required power.
C. Increasing \delta increases the required power; increasing R has no significant effect on the required power.
D. Increasing \delta decreases the required power; increasing R has no significant effect on the required power.
E. Neither change has a significant effect on the required power.