Example 2

A turntable is set rotating at a constant frequency of 45 rpm (revolutions per minute).  A nickel is placed on the turntable near the axis of rotation at a distance r from that axis. The nickel is observed to rotate around in a circle of radius r with a frequency of 45 rpm.  The nickel is pushed slightly away from the axis of rotation, thereby increasing the value of r.  This is repeated until r is so large that the nickel just slides right off of the turntable.  The largest value of r such that the nickel remains in circular motion on the turntable without slipping of is found to be rmax = 7.8 cm.  From these data, determine the coefficient of friction between the nickel and the turntable.

Fig11_5 SOLUTION