Question

The read way of a bridge over a canal is in the from of a circular arc of radius 16.2 m.What is the greatest velocity which a motor cycle can cross the bridge without leaving the ground at the heights point?

Answer 1

For maximum velocity, weight of the car balances the cetrifugal force acting on it.

W = F

mg = m(vmax)² / r

vmax = √(rg)

vmax = √(16.2×9.8)

vmax = √(158.76)

vmax = 12.6 m/s

Maximum velocity without going off track is 12.6 m/s