Two quantities that are non uniform in UCM
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In non- uniform circular motion, the size of the velocity vector (speed) changes, denoting change in the magnitude of velocity.
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 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]
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