Question

In respect of the top point of the bicycle wheel of radius R moving along a straight road, which of the following holds good during half of the wheel rotation.(a) distance = displacement
(b) distance < displacement
(c) displacement = 2R
(d) displacement = πR

Answer 1

Answer:

Distance = displacement = πR

(A full rotation is 2πr)

Answer 2

Answer:

Option (c) and (d) is correct.

Explanation:

Since we know the the bicycle wheel is circular in shape.

So, during half of the wheel rotation

Distance = half of circumference of circle = $\pi R$

Displacement = 2R

Assume R = 7 cm.

So, Distance = 22 cm

Displacement = 14 cm.

So, Distance is always more than the displacement.

So, option (c) and (d) is correct.