In order to make the effective acceleration due to gravity equal to zero at the equator, the angular velocity of rotation of the earth about its axis should be $(g = 10\,m{s^{ - 2}}$ and radius of earth is $6400 \,kms)$
In order to make the effective acceleration due to gravity equal to zero at the equator, the angular velocity of rotation of the earth about its axis should be $(g = 10\,m{s^{ - 2}}$ and radius of earth is $6400 \,kms)$
$0\,\;rad\,{\sec ^{ - 1}}$
$\frac{1}{{800}}rad\,se{c^{ - 1}}$
$\frac{1}{{80}}rad\,se{c^{ - 1}}$
$\frac{1}{8}rad\,se{c^{ - 1}}$
In order to make the effective acceleration due to gravity equal to zero at the equator, the angular velocity of rotation of the earth about its axis should be $(g = 10\,m{s^{ - 2}}$ and radius of earth is $6400 \,kms)$
$g' = g - {\omega ^2}R{\cos ^2}\lambda \,$
For weightlessness at equator $\lambda = 0$ and $g' = 0$
$0 = g - {\omega ^2}R$
$\omega = \sqrt {\frac{g}{R}} = \frac{1}{{800}}\;\frac{{rad}}{s}$
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