A particle is moving in a circle of radius r with constant angular speed w . its acceleration directed towards the center of circle is:
Correct answer: C. w2r
- A. w/r
- B. w2/r
- C. w2r
- D. Wr2
Explanation
To find the centripetal acceleration of a particle moving in a circle, use the formula ac = w2r, where w is the angular speed and r is the radius of the circle. The correct option is w2r, as it correctly applies this formula.Option A (w/r) and Option B (w2/r) incorrectly apply dimensional analysis and do not represent acceleration. Option D (Wr2) incorrectly squares the radius, which is not part of the centripetal acceleration formula.
This question appeared on the ETEA MDCAT 2008 paper, which you can sit online with every answer explained.
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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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