What is the time period of rotation of the earth around its axis so that the objects at the equator becomes weightless? (`g=9.8 m//s^2`, radius of the earth `=6400km`)

Explanation

To find the time period of rotation of the Earth around its axis such that objects at the equator become weightless, we can follow these steps:

### Step 1: Understand the Condition for Weightlessness
For an object to be weightless at the equator, the gravitational force must be balanced by the centrifugal force due to the Earth's rotation. This can be expressed mathematically as:
\[ mg = m \cdot r \cdot \omega^2 \]
where:
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