Question: Which of the following is true about the rolling motion of a wheel?

Options:

1. The linear velocity is equal to the angular velocity times the radius.
2. The linear velocity is half of the angular velocity times the radius.
3. The angular velocity is equal to the linear velocity divided by the radius.
4. The linear velocity is independent of the radius.

Correct Answer: The angular velocity is equal to the linear velocity divided by the radius.

Solution:

The relationship between linear velocity (v) and angular velocity (ω) is given by v = ωr, which can be rearranged to ω = v/r.