A particle is moving in a circle of radius r with a constant angular speed . Its acceleration directed towards the center of the circle is:
Correct answer: C. w2r
- A. w/r
- B. w2/r
- C. w2r
- D. wr2
Explanation
The formula for angular acceleration is a= = w2r RCentripetal acceleration = V2/r, whereby V=rW, thus (rW)2 / r is = w2 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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