Advertisements
Advertisements
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.)
Advertisements
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.
APPEARS IN
संबंधित प्रश्न
Fill in the blank and explain the statement with reasoning:
If the height of the orbit of a satellite from the earth surface is increased, the tangential velocity of the satellite will ......
Why are geostationary satellites not useful for studies of polar regions?
Complete the following table.
If the height of a satellite completing one revolution around the earth in T seconds is h1 meter, then what would be the height of a satellite taking \[2\sqrt{2} T\] seconds for one revolution?
Write the proper name of the orbits of satellites shown in the following figure with their height from the earth’s surface.
Name the first artificial satellite sent by Russia in space.
A group of students from COEP Pune sent a small satellite _______ through ISRO in 2016.
The function of a satellite launcher is based on Newton's second law of motion.
Calculate the critical velocity of the satellite to be located at 35780 km above the surface of earth.
What is Medium Earth Orbit?
Distinguish between:
High Earth orbit - Medium Earth orbit.
Observe the figure and write the answers.
- Name the outer orbit.
- Which satellites revolve in low earth orbits?
- 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.
How is a satellite maintained in nearly circular orbit?
Why are some satellites called geostationary?
Numerical problem.
At an orbital height of 400 km, find the orbital period of the satellite.
The height of medium earth orbit above the surface of the earth is ______.
Write the name of small satellite made by a group of students from COEP (College of Engineering, Pune) sent to the space through ISRO in 2016.
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: ______ |
