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Q.

The angular velocity of the earth with which it has to rotate so that acceleration due to gravity on 60o latitude becomes zero is (Radius of earth = 6400 km. At the poles g=10 ms−2)

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a

5.0×10−1rad​/​s

b

2.5×10−3rad​/​s

c

10×101rad/s

d

7.8×10−2rad​/​s

answer is A.

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Detailed Solution

g′=g−ω2Rcos2⁡λ⇒0=g−ω2Rcos2⁡60∘0=g−ω2R4⇒ω=2gR=1400radsec=2.5×10−3radsec

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