How many hours would make a day if the earth were rotating at such a high speed that the weight of a body on the equator were zero

Explanation

To solve the problem of how many hours would make a day if the Earth were rotating at such a speed that the weight of a body on the equator were zero, we can follow these steps:

### Step 1: Understand the Condition for Zero Weight
When the weight of a body at the equator is zero, the apparent gravitational acceleration (g') becomes zero. The apparent gravitational acceleration at the equator can be expressed as:
\[ g' = g - R \omega^2 \]
where:
- \( g \) is the acceleration due to gravity (approximately \( 9.8 \, \text{m/s}^2 \)),
- \( R \) is the radius of the Earth (approximately \( 6400 \, \text{km} = 6400000 \, \text{m} \)),
...