In a bicycle, the radius of rear wheel is twice the radius of front wheel. It $r_{f}$ and $r_{r}$ are the…

In a bicycle, the radius of rear wheel is twice the radius of front wheel. It $r_{f}$ and $r_{r}$ are the radii and $v_{f}$ and $v_{r}$ are the speeds of topmost points of wheels then
  1. $v_{r}=2 v_{f}$
  2. $v_{f}=2 v_{r}$
  3. $v_{f}=v_{r}$
  4. $v_{f}=4 v_{r}$

Solution

The velocity of top point of the wheel is twice that of centre of mass. And the speed of centre of mass is same for both the wheels. $[\mathrm{v}=\omega \mathrm{r}]$ ^

Asked in: JEE Mains - Rotational Motion - Test 4

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