The angular velocity of the earth with which it has to rotate so that the acceleration due to gravity on 60o latitude becomes zero is
2.5×10−3rads−1
1.5×10−3rads−1
4.5×10−3rads−1
0.5×10−3rads−1
A
4.5×10−3rads−1
B
2.5×10−3rads−1
C
1.5×10−3rads−1
D
0.5×10−3rads−1
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Solution
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the acceleration due to gravity to rotate in terms of latitude(θ)
g′=g−w2Rcos2θ
0=g−w2Rcos260
g=w2R4
w=√4gR=2√gR=2800
w=2.5×10−3radsec
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