Assuming earth to be a sphere of radius R , if g ' is the value of acceleration due to gravity at the latitude of 30 ° and g at the equator, the value of g - g ' is

Question

Assuming earth to be a sphere of radius R , if g ' is the value of acceleration due to gravity at the latitude of 30 ° and g at the equator, the value of g - g ' is, 1 4 ω 2 R, 3 4 ω 2 R, ω 2 R, 1 2 ω 2 R

MARKS App · Accepted Answer

The value of acceleration due to gravity at latitude λ is given by g λ = g - R ω 2 c o s 2 λ ∴ g - g λ = R ω 2 c o s 2 λ A t λ = 30 ° , g - g ' = R ω 2 c o s 2 30 ° = R ω 2 3 2 2 = 3 4 R ω 2

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