question_answer

If the Earth has no rotational motion, the weight of a person on the equator is W. Determine the speed (in rad/s) with which the earth would have to rotate about its axis so that the person at the equator will weigh\[\frac{3}{4}W\]. Radius of the Earth is 6400 km and \[g=10\text{ }m/{{s}^{2}}.\]

Answer:

\[\left( \mathbf{0}.\mathbf{6}\times \mathbf{1}{{\mathbf{0}}^{-\mathbf{3}}} \right)\]