Question

In a bicycle the radius of rear wheel is twice the radius of front wheel. If $v_{F}$ and $v_{r}$ are the speeds of top most points of front and rear wheels respectively, then:

• A. $v_{r} = 2 v_{F}$
• B. $v_{F} = 2 v_{r}$
• C. $v_{F} = v_{r}$
• D. $v_{F} > v_{r}$

Answer 1

Answer: (C)

Speed of centres of both the wheels is same as that of cycle. We know that speed of top point is double that of centre. So speed of top points of both the wheels should be same. Hence $v_{F} = v_{r}$