How long would a day be if the Earth were rotating so fast that objects at the equator were apparently weightless?

Solution 77 GP

Step 1 of 3</p>

To find the time taken in a day, if the earth is rotating so fast, that the objects at the equator are apparently weightless.

Step 2 of 3</p>

Let us consider the radial acceleration is equal to acceleration due to gravity ‘g’,

….(1)

And let, ….(2)

On equating, equations (1) and (2) we get,

On solving for ‘T’ we get,

….(3)