A body is moving in a circular path with constant speed. The magnitude of tangential and centripetal acceleration are:
Correct answer: B. B
- A. A
- B. B
- C. C
- D. D
Explanation
When a body moves in a circular path with constant speed, the tangential acceleration is zero because the speed remains constant. On the other hand, the centripetal acceleration is non-zero as it is responsible for changing the direction of velocity in circular motion. The correct answer is Option B because it correctly explains the relationship between tangential and centripetal acceleration in this scenario. Options A, C, and D are incorrect as they do not provide an accurate explanation based on the given conditions.For constant speed, Δv = 0, at = Δv/Δt = 0 ⇒ ac = v2/r.
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About Angular and Linear Quantities
Rotational motion relates angular displacement, angular velocity and angular acceleration to linear displacement, tangential velocity and tangential acceleration through the radius. Questions use radians, v equals r omega and tangential acceleration, while distinguishing tangential velocity from centripetal acceleration and angular quantities from their linear counterparts.
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