A body is moving in a circular path with constant speed. The magnitude of tangential and centripetal acceleration are:
Correct answer: B. Tangential 0, Centripetal v2/r
- A. Tangential rv2, Centripetal 0
- B. Tangential 0, Centripetal v2/r
- C. Tangential 0, Centripetal 0
- D. Tangential v2/r, Centripetal v2/r
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.
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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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