Question

whuch physical quantity remain constant in UCM?

Answer 1

Speed, vScalar acceleration, v^2/rAngular momentum, mvrKinetic energy, (1/2)* mv^2Mass mforce, mv^2/r

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Answer 2

The obvious: (1) mass of object remains the same (law of conservation of mass). (2) The radius of the circle remains the same. (Motion is uniform and circular). (3) The speed remains the same (uniform motion). (4) Period remains the same (uniform circular motion).

The Subtle: (1) Angular Velocity remains the same. (Uniform circular motion). (2) Angular Acceleration remains the same: ZERO. (3) Centripetal acceleration remains the same. [v^2 / R; all variables are constant with speed instead of v.] (4) The magnitude of the centripetal force remains the same. [m v^2 / R]

The Esoteric: angular MOMENTUM remains the same (see MASS, RADIUS, and ANGULAR VELOCITY above.]

The Collateral: (1) “g” remains the same. (2) The kinetic energy of the object remains the same [KE = 1/ m v^2]

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