A flywheel in a motor is spinning at 510 {\rm rpm} when a power failure suddenly occurs. The flywheel has mass 40.0 {\rm kg} and diameter 75.0 {\rm...

A flywheel in a motor is spinning at 510 {rm rpm} when a power failure suddenly occurs. The flywheel has mass 40.0 {rm kg} and diameter 75.0 {rm cm}. The power is off for 31.0 {rm s}, and during this time the flywheel slows down uniformly due to friction in its axle bearings. During the time the power is off, the flywheel makes 210 complete revolutions.