- Uniform angular velocity in a circular path means the speed of the body is constant. - Although the speed is constant, the direction of the velocity vector is continuously changing as the body moves in a circle. - A change in velocity (either magnitude or direction, or both) indicates acceleration. - In uniform circular motion, the acceleration is always directed radially inwards, towards the centre of the circle. This is the centripetal acceleration. - The centripetal acceleration is responsible for changing the direction of the velocity vector, keeping the body on the circular path.
A spherical body moves with a uniform angular velocity around a circular path of radius r. Which one of the following statements is correct?
Asked in UPPCS Prelims 2004 · Topic: Mechanics (Newton's Laws of Motion and their applications)
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Answer: B. The body has a radial acceleration 2r directed towards the centre of the path.
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