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Question

If the earth stops rotating.then the value of acceleration due to gravity at a latitude 45o will increases by.

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Solution

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We know, the acceleration due to gravity due to rotation of earth
g=gω2Rcos2ϕ
According to the question
ϕ=45
So, acceleration due to gravity at 45 latitude
g=gω2Rcos245
g=gω2R2
When earth steps rotating i.e., ω=0 the acceleration due to gravity at 45 latitude will increase by ω2R2 [ω=7.292×105rad/secR=6317km]
ω2R2=(7.292×105)2×6371×1032=0.016938m/s2

1196139_1371169_ans_d2f0d76ae17640b3ad09b869fd6be4e5.jpg

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