Question:
A wheel of radius \( R \) rolls on the ground with a uniform velocity \( v \). The relative acceleration of topmost point of the wheel with respect to the bottom most point is:
A wheel of radius \( R \) rolls on the ground with a uniform velocity \( v \). The relative acceleration of topmost point of the wheel with respect to the bottom most point is:
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In rolling motion, the relative acceleration of the topmost point with respect to the bottommost point is half of the value obtained for a point on the wheel.
Updated On: Mar 25, 2026
- \( \frac{v^2}{R} \)
- \( \frac{v^2}{2R} \)
- \( \frac{4v^2}{R} \)
- \( \frac{v^2}{R} \)
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The Correct Option is B
Solution and Explanation
Step 1: Relative acceleration definition.
For rolling motion, the acceleration at the topmost point with respect to the bottommost point is \( \frac{v^2}{2R} \). This is derived from the relationship between linear velocity and rotational motion.
Thus, the correct answer is (2).
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