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An artificial satellite is moving in a circular Orbit of radius 42250km. Calculate its speed if it takes 24 hours to revolves around the sun?
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An artificial satellite is moving in a circular Orbit of radius 42250k...
Calculating the Speed of an Artificial Satellite in Circular Orbit
Calculating the speed of an artificial satellite in a circular orbit involves using the formula for the orbital speed of a satellite. Given that the satellite takes 24 hours to revolve around the sun and has a radius of 42250km, we can determine its speed.
Formula for Orbital Speed:
The formula for the orbital speed of a satellite in a circular orbit is given by:
\[ v = \frac{2\pi r}{T} \]
where:
- v is the orbital speed of the satellite
- r is the radius of the orbit
- T is the time period for one complete revolution
Given Data:
- Radius of the orbit (r) = 42250 km
- Time period for one complete revolution (T) = 24 hours = 24 * 60 * 60 seconds
Calculations:
Substitute the given values into the formula:
\[ v = \frac{2\pi * 42250}{24*60*60} \]
\[ v = \frac{2\pi * 42250}{86400} \]
\[ v = \frac{265250}{86400} \]
\[ v ≈ 3.07 km/s \]
Therefore, the speed of the artificial satellite in the circular orbit is approximately 3.07 km/s.
Calculating the speed of an artificial satellite in a circular orbit involves using the formula for the orbital speed of a satellite. Given that the satellite takes 24 hours to revolve around the sun and has a radius of 42250km, we can determine its speed.
Formula for Orbital Speed:
The formula for the orbital speed of a satellite in a circular orbit is given by:
\[ v = \frac{2\pi r}{T} \]
where:
- v is the orbital speed of the satellite
- r is the radius of the orbit
- T is the time period for one complete revolution
Given Data:
- Radius of the orbit (r) = 42250 km
- Time period for one complete revolution (T) = 24 hours = 24 * 60 * 60 seconds
Calculations:
Substitute the given values into the formula:
\[ v = \frac{2\pi * 42250}{24*60*60} \]
\[ v = \frac{2\pi * 42250}{86400} \]
\[ v = \frac{265250}{86400} \]
\[ v ≈ 3.07 km/s \]
Therefore, the speed of the artificial satellite in the circular orbit is approximately 3.07 km/s.
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An artificial satellite is moving in a circular Orbit of radius 42250km. Calculate its speed if it takes 24 hours to revolves around the sun?
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An artificial satellite is moving in a circular Orbit of radius 42250km. Calculate its speed if it takes 24 hours to revolves around the sun? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about An artificial satellite is moving in a circular Orbit of radius 42250km. Calculate its speed if it takes 24 hours to revolves around the sun? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An artificial satellite is moving in a circular Orbit of radius 42250km. Calculate its speed if it takes 24 hours to revolves around the sun?.
An artificial satellite is moving in a circular Orbit of radius 42250km. Calculate its speed if it takes 24 hours to revolves around the sun? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about An artificial satellite is moving in a circular Orbit of radius 42250km. Calculate its speed if it takes 24 hours to revolves around the sun? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An artificial satellite is moving in a circular Orbit of radius 42250km. Calculate its speed if it takes 24 hours to revolves around the sun?.
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