The number of teeth in the crank wheel and free wheel of a bicycle, connected by a chain are 48 and 24, respectively. Their diameters are 20 cm and 10 cm, respectively. The radius of the rear wheel to which the free wheel is fixed coaxially is 10 times that of the free wheel. If a cyclist pedals the bicycle at two rotations per second, find the speed of the cyclist.

Explanation

(i) Relation between length, height of the inclined plane and load, effort
(ii) Velocity of the cyclist = 12.56 `m s^(-1)` or 45 m `h^(-1)`