Gravitation Question 11

Question: The radius of the earth is 6400 km and $ [g=10m/{{\sec }^{2}}] $ . In order that a body of 5 kg weighs zero at the equator, the angular speed of the earth is[MP PMT 1985]

Options:

A) 1/80 radian/sec

B) 1/400 radian/sec

C) 1/800 radian/sec

D) 1/1600 radian/sec

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Answer:

Correct Answer: C

Solution:

For the condition of weightlessness at equator $ [\omega =\sqrt{\frac{g}{R}}] $ \ $ [\omega =\sqrt{\frac{1}{640\times 10^{3}}}=\frac{1}{800}rad/s] $



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