Question

A satellite close to the earth is in orbit above the equator with a period of rotation of $1.5hours$. If it is above a point P on the equator at some time, if it rotates from west to east then when it will be above P in hours

• A. $1.6$
• B. $1$
• C. $2$
• D. None of these

Answer 1

The correct option is A $1.6$

$w_P=2\pi /1.5$

$e_{earth}=2\pi /24$

The relative $w$ of P wrt earth is $w_P-w_{earth}=30\pi /24$

So, time raken is $2\pi /\left(30\pi /24\right)=1.6$