When a body moves in a circle of radius with angular speed ω, its centripetal acceleration is
Correct answer: B. ω2r
- A. ωr
- B. ω2r
- C. ωr2
- D. ω/r
Explanation
Correct Option: BWhen a body moves in a circle of radius r with angular speed ω, its centripetal acceleration is given by the formula:Centripetal acceleration = ω²rIn this equation, ω represents the angular speed of the body, and r represents the radius of the circle. The centripetal acceleration is directed towards the centre of the circle and is responsible for keeping the body in circular motion.
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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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