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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
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Calculating the Speed of an Artificial Satellite in Circular Orbit
- Given: Radius of circular orbit (r) = 42250 km, Time period of revolution (T) = 24 hours
- Formula: Speed (v) = 2πr/T
- Conversion: Convert time period from hours to seconds (1 hour = 3600 seconds)
Calculation:
Speed (v) = 2πr/T
v = (2 x 3.14 x 42250 km) / (24 x 3600 seconds)
v = 3077.5 km/s
Explanation:
An artificial satellite in circular orbit moves at a constant speed because it experiences a centripetal force due to the gravitational pull of the Earth. The radius of the orbit and the time period of revolution determine the speed of the satellite.
In this case, the given radius of the orbit is 42250 km and the time period of revolution is 24 hours. To calculate the speed, we use the formula v = 2πr/T, where r is the radius of the orbit and T is the time period of revolution.
After substituting the values, we get the speed of the satellite as 3077.5 km/s. This means that the satellite travels 3077.5 km in one second.
To convert time period from hours to seconds, we multiply it by 3600, which is the number of seconds in an hour.
Therefore, an artificial satellite in circular orbit with a radius of 42250 km and a time period of 24 hours travels at a speed of 3077.5 km/s.
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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
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