Question

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

Answer 1

Step 1: Given data in the question.

In the question, it is given that the radius of orbit in which an artificial satellite is moving is $42250km$ and it takes $24$ hours to revolve around the earth.

Radius of the circular path $r=42250km$

Time period of the satellite $T=24hr$

Step 2: Concept and formula to be used.

The distance travelled by the satellite to complete one revolution is the circumference of the circle.

$D=2\mathrm{\pi r}$

$D=2*3.14*42250=265330km$

When the distance $D$ and time $T$ is given then the speed $S$ can be calculated as follows:

$S=\frac{D}{T}$

Step 3: Find the speed of the given artificial satellite.

The speed $S$ of the artificial satellite is:

$$\begin{gathered} S=\frac{D}{T}=\frac{265330}{24} \\ \Rightarrow S=11055.416km/hr \end{gathered}$$

Therefore, The speed of the given artificial satellite in the given orbit when it completes one revolution in $24hrs$ around the earth is $11055.416km/h$.