Two satellites S1 and S2 revolve round a planet in coplanar circular orbits in the same sense. Their periods of revolution are 1 hour and 8 hour respectively. The radius of the orbit of S1 is 104 km., the angular speed of S2 as observed by an astronaut in S1 is
Answer & explanation
Correct answer: option 2
$\omega=\left|\frac{v_2-v_1}{r_2-r_1}\right|$
$\Rightarrow \omega=\left|\frac{10^4 \pi}{3 \times 10^4}\right|$
$\Rightarrow \omega=\frac{\pi}{3}$ rads−1