In a bicycle,the radius of the rear wheel is | vedclass

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(C) The speed of the center of both wheels is equal to the speed of the bicycle,let it be $v$.For a wheel rolling without slipping,the velocity of the

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$v_F = v_r$

Vedclass · Answer

(C) The speed of the center of both wheels is equal to the speed of the bicycle,let it be $v$.For a wheel rolling without slipping,the velocity of the center is $v = r\omega$.The velocity of the topmost point of a wheel is given by $v_{top} = v + r\omega = v + v = 2v$.Since both wheels are attached to the same bicycle,they move forward with the same translational speed $v$.Therefore,the speed of the topmost point for the front wheel is $v_F = 2v$ and for the rear wheel is $v_r = 2v$.Thus,$v_F = v_r$.

In a bicycle,the radius of the rear wheel is twice the radius of the front wheel. If $r_F$ and $r_r$ are the radii,and $v_F$ and $v_r$ are the speeds of the topmost points of the wheels respectively,then:

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