Question

What is the displacement of the centre of the wheel in two rotation? Let the radius of the wheel be R.

• A. $2\pi R$
• B. $0$
• C. $R$
• D. $\pi$

Answer 1

Answer: (A)

$2\pi R$

Answer 2

The center of a wheel rolling without slipping moves horizontally. In one rotation, the distance covered by the center is equal to the circumference of the wheel, $2\pi R$. Thus, its displacement is $2\pi R$. For two rotations, the displacement would be $4\pi R$. Since $4\pi R$ is not an option and $2\pi R$ is, it is inferred that the question likely contains a typo and intended to ask for the displacement in one rotation.