question_answer

A wheel of radius R rolls without slipping on the ground with a uniform velocity v. The relative acceleration of the topmost point of the wheel with respect to the bottommost point is

A) \[\frac{{{v}^{2}}}{R}\]                       

B)        \[\frac{2{{v}^{2}}}{R}\]

C) \[\frac{{{v}^{2}}}{2R}\]                     

D)        \[\frac{4{{v}^{2}}}{R}\]

Correct Answer: B

Solution :

[b] Acceleration w.r.t. centre of wheel are shown, the relative acceleration \[=\frac{2{{v}^{2}}}{R}\]