The following diagram gives the dimensions of a steel bicycle chain. The chain is driven by a chain wheel which has pitch diameter of 190 mm.

The following diagram gives the dimensions of a steel bicycle chain. The chain is

driven by a chain wheel which has pitch diameter of 190 mm. The chain wheel is

connected to the pedals by a pair of cranks set at 180 in the usual way.

The center of each pedal is 170 mm away from the center of the chain wheel. If thecyclist weighs 90 kg, estimate the factor of safety of the chain. You may assumethat a link would fail in simple tension at the position of minimum cross-sectionalarea and that a pin would fail in double shear. The yield strength of the steel is1500 N m2