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Q.

What is the linear velocity of a person at equator of the earth due to its spinning motion? (Radius of the earth = 6400km)

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a

400m/ s

b

465.5m/ s

c

200m/ s

d

360m/ s

answer is D.

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Detailed Solution

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$\begin{array}{l} ω = \frac{2 πN}{t} = \frac{2 π \times 1}{24 \times 60 \times 60} \\ = \frac{π}{43, 200} {rads}^{- 1} \\ R = 6 .4 \times 10^{6} m \\ \begin{array}{ll} V = Rω & = 6 .4 \times 10^{6} \times \frac{π}{43, 200} \\ = 465 .5 m / s \end{array} \end{array}$

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What is the linear velocity of a person at equator of the earth due to its spinning motion? (Radius of the earth = 6400km)