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प्रश्न
The orbit of a satellite is exactly 35780 km above the earth's surface and its tangential velocity is 3.08 km/s.
How much time the satellite will take to complete one revolution around the earth?
(Radius of earth = 6400 km.)
उत्तर
Given:
Height of the satellite above the earth’s surface = 35780 km.
Tangential velocity of the satellite = 3.08 km/sec
Suppose the satellite takes T seconds to complete one revolution around the Earth. The distance travelled during this one revolution is equal to the circumference of the circular orbit. If r is the radius of the orbit, the satellite will travel a distance of 2πr during one revolution. Thus, the time required for one complete revolution can be obtained as follows:
v = `"distance"/"time"`
= `"circumference"/"time"`
= `(2pir)/"T"` ...[∵ x = (r + h)]
T = `(2pir)/v`
= `2pi("R" + h)`
= `(2 xx 3.14 xx (6400 + 35780))/3.08`
= 86003.38 sec
= 23.89 hrs.
= 23 hrs 54 minutes.
Thus, a satellite takes 23 hours and 54 minutes to complete one revolution around the earth.
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संबंधित प्रश्न
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Why are geostationary satellites not useful for studies of polar regions?
Write the proper name of the orbits of satellites shown in the following figure with their height from the earth’s surface.
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Calculate the critical velocity of the satellite to be located at 35780 km above the surface of earth.
Distinguish between:
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Observe the figure and write the answers.
- Name the outer orbit.
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- Which various orbits are given in the figure?
- Give an example of a launch vehicle based on Newton’s third law.
Write functions of Military satellite and Navigational satellite.
Define orbital velocity.
How is a satellite maintained in nearly circular orbit?
Why are some satellites called geostationary?
Numerical problem.
Calculate the speed with which a satellite moves if it is at a height of 36,000 km from the Earth’s surface and has an orbital period of 24 hr (Take R = 6370 km) [Hint: Convert hr into seconds before doing calculation]
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Complete the Following table.
| Sr. no. | Type of Satellite | The names of Indian Satellite and launcher |
| (1) | Navigational Satellite | Satellite: ______ |
| Launcher: ______ | ||
| (2) | Earth Observation Satellite | Satellite: ______ |
| Launcher: ______ |
Complete the following equations:
