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.
Answers
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.
Given :
- radius of the orbit= 42250 km
- time taken in order to complete one revolution = 24 hrs
Solution :
Total distance covered by the artificial satellite will be equal to the circumference of the orbit
Total time taken by the artificial satellite to complete one revolution
we know that ,
Given, Radius of the circular orbit = 42250\ km
\therefore Circumference of the orbit = 2\pi r = 2.\frac{22}{7}. (42250) = 265571.4\ km
The satellite takes 24 hours to revolve around the earth.
We know, Speed = \frac{Distance}{Time}
\\ = \frac{265571.4}{24} \\ \\ = 11065.4\ kmh^{-1} \\ \\ = \frac{11065.4}{3600}\ kms^{-1} \\ \\ = 3.07\ kms^{-1}
Therefore, the speed of the artificial satellite is 3.07\ kms^{-1}
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