First slide

Variation of g

Question

The acceleration due to gravity g is plotted against the latitude of a place. Out of the following, the one that best represents the graph is

Moderate

A
B
C
D

Solution

At a plant where angle of lattitude is Φ , g = g_p - ω² cos²Φ .
Where g_p = acceleration due to gravity at pole , R = radius of earth , w = angular velocity of spin of earth.
At Φ = 0⁰ , g = g_p - ω²R
At Φ = 90⁰ , g = g_p

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