Published by:
CGP EDU Academic Team
Published on: September 12, 2026
The centripetal acceleration is given by
Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: Understand the concept of centripetal acceleration.
The centripetal acceleration ( extit{a}_c) experienced by an object moving in a circular path is directed towards the center of the circle and is given by the formula:
$$a_c = \frac{v^2}{r}$$
where v is the tangential velocity of the object and r is the radius of the circular path.
Step 2: Analyze each option:
Conclusion: The correct expression is found in Option A: $$\frac{v^2}{r}$$. Therefore, the answer is A.
The centripetal acceleration ( extit{a}_c) experienced by an object moving in a circular path is directed towards the center of the circle and is given by the formula:
$$a_c = \frac{v^2}{r}$$
where v is the tangential velocity of the object and r is the radius of the circular path.
Step 2: Analyze each option:
- Option A: $$\frac{v^2}{r}$$ - This matches the formula for centripetal acceleration.
- Option B: vr - This does not represent any known acceleration formula in circular motion.
- Option C: vr2 - This is incorrect; it does not match any relevant formula.
- Option D: v / r - This represents something else; it's not the correct formula for centripetal acceleration.
Conclusion: The correct expression is found in Option A: $$\frac{v^2}{r}$$. Therefore, the answer is A.
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