If the earth is rotating fast, how will the value of g change at poles?

Explanation

To determine how the value of \( g \) (acceleration due to gravity) changes at the poles if the Earth is rotating faster, we can follow these steps:

### Step 1: Understand the formula for \( g \) at latitude \( \lambda \)
The formula for the acceleration due to gravity at a latitude \( \lambda \) is given by:
\[ g_{\lambda} = g - R \omega^2 \cos \lambda \]
where:
...