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When a body rotating along the circular path has unit linear velocity, its angular

velocity is equal to _____________ of the circular path.

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by ksmenaha

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velocity is equal to _____________ of the circular path.

by ksmenaha

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linear speed of a body = 1 unit

time duration to cover one circle = circumference / speed

= 2 π R / linear speed = 2π R / 1 unit = 2πR units

angle it covers in one revolution = 2 π units

so angular velocity = angle covered / time duration = 2 π / 2 π R

= 1/R = 1 / Radius of circular path