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The radius of the earth is 6400 km and g...

The radius of the earth is `6400 km` and `g=10m//sec^(2)`. In order that a body of `5 kg` weight zero at the equator, the angular speed of the earth is

A

1/80 radian/sec

B

1/400 radian/sec

C

1/800 radian/sec

D

1/1600 radian/sec

Text Solution

Verified by Experts

The correct Answer is:
C
`g.=g-omega^2Rcos^2lamda=0` [as `lamda=0` for equator]
`rArrg=omega^2R`
`rArromega=sqrt((10)/(6400xx10^3))`
`rArr1/800` rad/sec
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