Assertion: A particle moves in a circle of radius R with constant speed v . Between two diametrically opposite points, the ratio of the magnitude of average acceleration to the magnitude of average ve

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Assertion: A particle moves in a circle of radius R with constant speed v . Between two diametrically opposite points, the ratio of the magnitude of average acceleration to the magnitude of average velocity is 2 π ​ times the angular velocity. Reason: The velocity vector reverses its direction between the two points.

TestHub · Accepted Answer

Half circle: displacement = 2 R , time = v π R ​ , average velocity = π 2 v ​ ; ∣Δ v ∣ = 2 v , average acceleration = π R 2 v 2 ​ . The ratio is R v ​ × 2 π ​ × π 2 ​ = ω (Assertion true). The Reason is true (velocity reverses over half a circle) but does not by itself explain the ratio.

Physics - Circular Motion Question with Solution | TestHub

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