Question

A wheel of radius one metre rolls forward half a revolution on the ground the magnitude of the displacement of the point of a wheel infinite in contact with the ground is

Answer 1

Horizontal distance covered by the wheel in half revolution = πR.

So, the displacement of the point which was initially in contact with ground = AA' = √(πR)2+(2R)2

=√Rπ2+ 4 = √π2+4

(AsR=1m)