A 20-toothed gear wheel drives a 60-toothed one. If the angular speed of the smaller wheel is 120 rev s-1, the angular speed of the larger wheel is

A.

3 rev s-1

B.

40 rev s-1

C.

360 rev s-1

D.

2400 rev s-1

Correct answer is C

\(\frac{\text {speed of driver}}{\text {speeder driven}}\) = \(\frac{\text {no. of teeth of driver}}{\text {no. of teeth of driven}}\)

\(\frac{120}{V}\) = \(\frac{20}{60}\)

v = 360 rev s-1