Question

Question 10
An artificial satellite is moving in a circular orbit of radius 42250 km. Calculate its speed if it takes 24 hours to revolve around the earth.

Answer 1

Given, radius of the circular orbit, $r=42250km$
Time taken to revolve around the earth, $t=24hours$
Distance covered $=2\pi r$
We know, $speed=\frac{distance}{time}$
$\therefore$ speed of the satellite, $v=\frac{2\pi r}{t}$
$=\frac{[2\times \frac{22}{7}\times 42250]}{24}$
$=\frac{[2\times \frac{22}{7}\times 42250\times 1000]}{(24\times 60\times 60)}$
$=3073.74m{s}^{-1}$