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.
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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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