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Question

With what angular velocity the earth should spin in order that a body lying at 30o latitude becomes weightless?

A
2g3R
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B
4gR
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C
g3R
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D
4g3R
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Solution

The correct option is D 4g3R
the apparent weight of a person on the Lattitude at
α= 30

W=WmRecos2α×ω2

g=gR34×ω2
g=0
ω=4g3R

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