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II. Short Answer Questions · Q12

Q.Define angular displacement and angular velocity.

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Step 1. Angular displacement θ\theta is the angle swept out at the centre of a circle as a particle moves from one point to another on the circle, related to arc length ss and radius rr by θ=s/r\theta=s/r; unit: radian.

Step 2. Angular velocity ω⃗\vec\omega is the rate of change of angular displacement: ω=lim⁡Δt→0Δθ/Δt=dθ/dt\omega=\lim_{\Delta t\to0}\Delta\theta/\Delta t=d\theta/dt; unit: rad s−1^{-1}. …

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