Find the value of acceleration due to gravity at a place oa latitude `30^(@)`. Take, Radius of earth `= 6.38 xx 10^(6) m`

Explanation

To find the value of acceleration due to gravity at a place with a latitude of \(30^\circ\), we will use the formula for the effective gravitational acceleration, which accounts for the rotation of the Earth. The formula is given by:

\[ g_{\text{effective}} = g - \omega^2 R \cos^2 \lambda \]

Where:
- \(g\) is the acceleration due to gravity at the equator, approximately \(9.8 \, \text{m/s}^2\).
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