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Question

# The value of h will beω2R22gω2R2g2ω2R23g2ω2R2g

A
ω2R2g
B
ω2R22g
C
2ω2R2g
D
2ω2R23g
Solution
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#### Gravity is related to the angular speed is given byg′=g−ω2RSo the weight at the equator is mg′=m(g−ω2R)Gravity above the earth's surface is given byg′=g(1−2hR)Implies the weight at the equator above the earth's surface is mg′=mg(1−2hR)It is given that these two weights are equal,⇒m(g−ω2R)=mg(1−2hR)⇒g−ω2R=g−2ghR

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