What is the displacement of the centre of the wheel in one rotation? Let the radius of the wheel be R ?
Answer & explanation
Correct answer: option 4
Let the time taken for one rotation be ‘T’. Let the angular speed of the wheel be ‘ω’.
$\omega = \frac{2\pi}{T}$
The velocity of the centre is $ V_c = \omega R = \frac{2\pi}{T} \times R$
∴ Displacement of centre in one rotation is $ S = V_c T = 2\pi R$