Question

An artificial satellite revolves around the Earth and takes around 48 hours to complete one revolution. Its velocity is 1500 km/h. What is the radius of the orbit in which it is moving? 

Answer 1

$\huge\mathfrak\blue{Answer:}$

Given:

• Time taken by satellite to complete one revolution around Earth = 48 hours
• Velocity of Satellite = 1500 km/h

To Find:

• The Radius of orbit in which the satellite is revolving around the Earth

Solution:

Distance covered by satellite in one revolution can be obtained by using

Distance = Speed x Time

Distance = (1500 km/h) x (48 hours)

Distance = 72000 km --------------- ( 1 )

We know that

Circumference of orbit = Distance covered by satellite -----------( 2 )

Using equation (1) in equation (2)

Circumference = 72000

$2.\pi.r = 72000$

$2. (\frac{22}{7}) .r = 72000$

$(\frac{44}{7}) .r = 72000$

r = 11454. 5 km

Hence the Radius of orbit in which the satellite is revolving is approximately equal to 11455 km.