First slide

Acceleration due to gravity and its variation

Question

If the angular speed of the earth is doubled, the value of acceleration due to gravity (g) at the north pole

Easy

A

Doubles
B

Becomes half
C

Remains same
D

Becomes zero

Solution

Acceleration due to gravity at poles is independent of the angular speed of earth.
$A t p o l e λ = 90^{0} \Rightarrow g_{λ} = g - R ω^{2} \cos^{2} λ = g - R ω^{2} \cos^{2} 90 = g - 0 = g$

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