Question

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

Radius of the circular orbit, $r$ = $42250$ $km$
Time taken to revolve around the earth, $t$ = $24$ $h$
Speed of a circular moving object, $v$ = $\frac{(2\pi r)}{t}$
= $\frac{\bigg[2× (\frac{22}{7})×42250 × 1000\bigg] } {(24 × 60 × 60)}$

=$\frac{(2×22×42250×1000) }{(7 ×24 × 60 × 60) }m s^{-1}$

=$3073.74\; m s ^{-1}$