Calculation of Speed of Artificial Satellite

Given:
Radius of circular orbit, r = 42250 km
Time taken to revolve around the Earth, T = 24 hours

Formula:
Speed of satellite, v = 2πr/T

Calculation:
Substituting the given values in the formula, we get
v = 2 × 3.14 × 42250 km / 24 hours
v = 2.09 km/s

Therefore, the speed of the artificial satellite is 2.09 km/s.

Explanation:
1. An artificial satellite is a man-made object that is placed into orbit around the Earth or other planets.
2. The circular orbit of the satellite refers to the path that it follows around the Earth, which is circular in shape.
3. The radius of the circular orbit is the distance between the center of the Earth and the satellite, which is given as 42250 km.
4. The time taken by the satellite to revolve around the Earth once is given as 24 hours.
5. The speed of the satellite in its circular orbit can be calculated using the formula v = 2πr/T, where v is the speed of the satellite, r is the radius of the circular orbit, and T is the time taken by the satellite to revolve around the Earth once.
6. Substituting the given values in the formula, we get the speed of the satellite as 2.09 km/s.
7. The speed of the satellite is an important parameter that determines its motion and behavior in its orbit.
8. This calculation can be used to understand the behavior of artificial satellites and their orbits around the Earth.