Effect of earth rotation on gravity at poles – Rankers Physics

Acceleration Due to Gravity and its variation: Practice Problem & Solution

If the earth stops rotating about its axis, the acceleration due to gravity will remain unchanged at
equator
latitude \(45^\circ\)
latitude \(60^\circ\)
poles

Solution Explained:

To solve this problem, we apply the core principles of Acceleration Due to Gravity and its variation. Understanding the underlying formula is key to arriving at the correct answer below:

The effective gravity is \(g' = g - \omega^2 R \cos^2 \theta\). At the poles, \(\theta = 90^\circ\), so \(g' = g\), which is independent of the earth's angular velocity.

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