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An artificial satellite is moving in a circular orbit of radius 32,000 km. If it takes 30 hours to complete one revolution around the earth, then find the velocity of the satellite
- a)9428 km/h
- b)9500 km/h
- c)6704 km/h
- d)7295 km/h
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
An artificial satellite is moving in a circular orbit of radius 32,00...
R = 32000 km, t = 30 hours
Circumference of the orbit = 2πR
=2*(22/7)*32000
=201142.86km
Velocity=d/t=2πR/t=6704 km/h
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Community Answer
An artificial satellite is moving in a circular orbit of radius 32,00...
Given:
Radius of circular orbit, r = 32,000 km
Time period, T = 30 hours
Formula:
The velocity of an object moving in a circular orbit can be calculated using the formula:
v = (2πr) / T
where v is the velocity of the object, r is the radius of the orbit, and T is the time period of one revolution.
Calculation:
We are given the radius of the orbit as 32,000 km and the time period as 30 hours.
v = (2πr) / T
v = (2π * 32,000) / 30
v ≈ 6.28 * 32,000 / 30
v ≈ 198,400 / 30
v ≈ 6613.33 km/h
Rounding off to the nearest whole number, we get v ≈ 6613 km/h.
Therefore, the velocity of the satellite is approximately 6613 km/h.
Since none of the given options match exactly with the calculated velocity, we need to choose the option that is closest to 6613 km/h.
The closest option is option (c) 6704 km/h.
Radius of circular orbit, r = 32,000 km
Time period, T = 30 hours
Formula:
The velocity of an object moving in a circular orbit can be calculated using the formula:
v = (2πr) / T
where v is the velocity of the object, r is the radius of the orbit, and T is the time period of one revolution.
Calculation:
We are given the radius of the orbit as 32,000 km and the time period as 30 hours.
v = (2πr) / T
v = (2π * 32,000) / 30
v ≈ 6.28 * 32,000 / 30
v ≈ 198,400 / 30
v ≈ 6613.33 km/h
Rounding off to the nearest whole number, we get v ≈ 6613 km/h.
Therefore, the velocity of the satellite is approximately 6613 km/h.
Since none of the given options match exactly with the calculated velocity, we need to choose the option that is closest to 6613 km/h.
The closest option is option (c) 6704 km/h.
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