Question

A satellite moving in a circular orbit of a radius of 36000 km. If it takes 24 hrs to complete one orbit around the earth. Find its linear velocity.

Answer 1

Step 1, Given data

The radius of the orbit, r = 36000 km
Distance traveled by satellite to complete one orbit = circumference of the orbit

Circumference = 2πr = $2\times \frac{22}{7}\times 36000$ = 226285.7 km

Step 2, Finding the linear velocity

We have,

Time, t = 24 hr

We know,

The linear velocity of satellite = $\frac{Distance}{Time}$

Putting all the values

Linear velocity $=\frac{\text{226285.7}}{24}$

After solving

Velocity = 9428.57 km/h

Hence the linear velocity of the satellite is 9428.57 km/h