The difference in the acceleration due to gravity at the pole and equator is ( g = acceleration due to gravity, R = radius of earth, θ = latitude, ω = angular velocity, cos 0 ∘ = 1 , cos 9 0 ∘ = 0 )

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Acceleration due to gravity at a place of latitude θ due to rotation of earth is g ′ = g − R ω 2 cos 2 θ At equator, θ = 0 , cos 0 = 1 ∴ g ′ = g e ​ = g − R ω 2 At poles, θ = 90 , cos 90 = 0 ∴ g ′ = g p ​ = g ∴ g p ​ − g e ​ = g − ( g − R ω 2 ) = R ω 2

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