A body Is moving in a circle of radius (r) with a variable speed, the acceleration of the body is:
Correct answer: D. All of the above
- A. Centripetal acceleration
- B. Tangential acceleration
- C. Angular acceleration
- D. All of the above
Explanation
Since the magnitude of the speed is not constant, this is a case of non-uniform circular motion and there will be a tangential acceleration as well as an angular acceleration (v=rω). In all types of circular motion, there is always a centripetal acceleration directed toward the center of the circular path.
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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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