4. Uniform Circular Motion

# 4. Uniform Circular Motion - U niform Circular Motion(UCM...

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(UCM) - motion along a circular path at constant speed. Characteristic of UCM 1. The speed is constant. 2. The direction of motion is continually or uniformly changing. 3. A constant in magnitude acceleration is present. This acceleration is always directed at the center of the circular path and is known as radial acceleration or centripetal central acceleration. Mathematically; r v A cp 2 = Where cp A = centripetal acceleration v = tangential velocity r = radius of the circle Principle of circle Relationship between s, r, θ ↑↓ ↑↓ θ s α s r s = Linear quantities s = linear displacement (cm, m) v = linear velocity (cm/s, m/s) a = linear acceleration (cm/s 2 , m/s 2 ) Angular quantities = angular displacement (rad) ϖ = angular velocity (rad/s) = angular acceleration (rad/s 2 ) Relationship between v and ( 29 t r s 1 = (s = r θ ) /t r Consider a moving body along a circular path with angular displacement of very very small rads or θ approaches 0. 1 st characteristics 1

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4. Uniform Circular Motion - U niform Circular Motion(UCM...

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