Answer:
1.4 hour
Explanation:
radius of earth, r = 6.37 x 10^6 m
The acceleration due to gravity due to the effect of rotation of earth is given by
[tex]g' = g\left ( 1-\frac{r\omega ^{2}}{g} \right )[/tex]
As the object is weightless, so, g' = 0
[tex]\omega=\sqrt\frac{g}{r}[/tex]
[tex]T=2\pi \sqrt\frac{r}{g}[/tex]
[tex]T=2\pi \sqrt\frac{6.37\times 10^{6}}{9.8}[/tex]
T = 5063.09 seconds
T = 1.4 hour
