a cyclist moving at a speed of 17.64km/hr describes a circle of radius 9.8 m.if the cyclist is held in balance ,the cofficient of friction between the tyre and the ground is

Given speed is such that it balances the force of friction, hence

Maximum speed v_max = vmgr

Or v²_max = mgr

v²_max / gr = m

substituting the values, we have

v²_max / gr = m

v_max = 17.64 km/hr = 17.6 x 5/18 =4.87

v²_max / gr = m

(4.87)² / 9.8 x 9.8 =m

23.7169/ 96.04

Thus, the cofficient of friction between the tyre and the ground is m = 0.2469

Thanks & Regards,

Vasantha Sivaraj,

askIITians faculty