Question

If the angular speed of earth is increased so much that the objects start flying from equator, then the length of the day will be nearly.

• A. $1\frac{1}{2}$ hour
• B. $8$ hour
• C. $18$ hour
• D. $24$ hour

Answer 1

The correct option is A $1\frac{1}{2}$ hour

At equator, $g_{\lambda }=g_e-R_e{w}^2$

where $R_e=6400kmw=\frac{2\pi }{T}{g}_e=10m/s^2$

Now for the objects to fly at equator, $g_{\lambda }=0⟹R_e{w}^2=g_e$

Thus $T^2=\frac{4{\pi }^2{R}_e}{g_e}$

Putting the values. $⟹T=5024sec\approx 1.4hours$