Right answer is (c) pi/6
The best I can explain: Angular velocity of the satellite if the earth were stationary; w’ = (2 x pi) / 8
= pi / 4
Angular velocity of earth; w’’ = (2 x pi) / 24
= pi / 12
Therefore, the angular velocity about the centre (w) = w’ – w’’
= pi/4 – pi/12
= pi/6