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, \(v\) = \(\frac{(2\pi r)}{t}\)
= \(\frac{\bigg[2× (\frac{22}{7})×42250 × 1000\bigg] } {(24 × 60 × 60)}\)

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

=\(3073.74\; m s ^{-1}\)