The effect of rotation of the Earth on the value of acceleration due to gravity is

Question

The effect of rotation of the Earth on the value of acceleration due to gravity is (A) Maximum at both poles (B) Minimum at both poles (C) Maximum at equator and minimum at the poles (D) Minimum at the equator and maximum at the poles

Tardigrade Admin · Accepted Answer

As, g′=g-ω 2 Rcos2 λ Now, for poles λ =90° and for equation λ =0° (i) For λ =90 gp o l e′=g-ω 2 Rcos2 90° =g g′=g There is no effect on g at the poles. (ii) For λ =0 ge q u a t o r=g-ω 2 Rcos2 0° = g-ω 2 R The effect of the rotation of Earth on the value of g at the equator is maximum.

Q. The effect of rotation of the Earth on the value of acceleration due to gravity is

Maximum at both poles

Minimum at both poles

Maximum at equator and minimum at the poles

Minimum at the equator and maximum at the poles

As, g′=g−ω2Rcos2λ Now, for poles λ=90∘ and for equation λ=0∘ (i) For λ=90 gpole′​=g−ω2Rcos290∘=g g′=g There is no effect on g at the poles. (ii) For λ=0 gequator​=g−ω2Rcos20∘ =g−ω2R The effect of the rotation of Earth on the value of g at the equator is maximum.