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II. Short Answer Questions · Q12

Q.Define angular displacement and angular velocity.

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Concept understanding — Angular Displacement

For a particle moving on a circle of radius rr about a centre O, the angle θ=∠AOB\theta=\angle AOB swept out at the centre as the particle moves from position A to position B is its angular displacement, measured in radians, related to the arc length travelled by θ=s/r\theta=s/r (equivalently s=rθs=r\theta). For a body rotating at a constant rate, the angular displacement after time tt is simply θ=ωt\theta=\omega t (angular speed times time) when starting from θ=0\theta=0; more generally, under constant angular acceleration, θ=ω0t+12αt2\theta=\omega_0t+\tfrac12\alpha t^2 (the angular counterpar …

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