The centre of a wheel rolling on a plane surface moves with a speed v0. A particle on the rim of the wheel at the same level as the centre will be moving at speed

(a) zero

(b) v0

(c) √2v0

(d) 2v0.


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(c)  √2v 

Explanation: 

Let the radius of the wheel = r. 

The angular speed of the wheel ⍵ = v0/r 

A particle on the rim of the wheel at the same level as the center will have a vertical speed =⍵r =(v0/r)*r = v0 and a horizontal speed = v0 

So the resultant speed =√(v0²+v0²) =√(2v0²) =√2v0

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