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IV. Exercises · Q15

Q.If Earth completes one revolution in 24 hours, what is the angular displacement made by Earth in one hour? Express your answer in both radian and degree.

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Step 1. Earth completes 2π2\pi radians (one full revolution) in 24 hours, so its angular speed is ω=2π24=π12\omega=\dfrac{2\pi}{24}=\dfrac{\pi}{12} rad h−1^{-1}.

Step 2. Angular displacement in 1 hour: θ=ω×t=π12×1=π12\theta=\omega\times t=\dfrac{\pi}{12}\times1=\dfrac{\pi}{12} rad. …

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