Question

The displacement of the point of a wheel initially in contact with the ground when the wheel rolls forward half a revolution where radius of the wheel is $1m$, is (Assume the forward direction as x-axis).

Answer 1

Given

Radius $=1m$

Solution

After half revolution, distance covered $AC=\pi m$

Point $A$ moves to point $B$

$\therefore$ Displacement $AB=\sqrt{x^2+4}$