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WBCS Preliminary Examination 2022 — General Studies · Question 140 of 200

Q140
General SciencePhysics
A particle is moving in a uniform circular motion with constant speed v along a circle of radius r. The acceleration of the particle is
  1. a.Zero
  2. b.V/r
  3. c.V/r²
  4. d.$V^2/r$

Answer: (D) $V^2/r$

For uniform circular motion, the centripetal acceleration is directed toward the centre and has magnitude $a = \frac{v^2}{r}$, where $v$ is the speed and $r$ is the radius. Although the speed is constant, the direction changes continuously, so the particle is always accelerating. This acceleration is not zero.