Speed of a Satellite at 320 kn: Calculate Time Period

In summary, the conversation discusses the speed of a satellite at a certain height and with a time period of 90 minutes. The formula S = d/t is mentioned as a possible solution and the concept of "time period" is clarified as the time taken for the satellite to revolve around the Earth once. The speaker also mentions the importance of including the radius of the Earth in the calculation.
  • #1
MoniMini
12
0
Hi !
"What is the speed of a satellite which is at a height of 320 kn and has a time period of 90 minutes"

I've never come across such a question ever before.
Is there any formula to solve this problem? or do we have to use S= [itex]d/t[/itex]
And what exactly does "time period" mean here? The time taken by the satellite to revolve around the Earth once?, or something else?

Thanks!
~MoniMini
 
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  • #2
This sounds a bit like homework but it's an easy problem as long as you remember to include the radius of the Earth when you calculate the distance the whole way round!
And, yes, that's what they mean by "time period"
 

FAQ: Speed of a Satellite at 320 kn: Calculate Time Period

1. What is the formula for calculating the time period of a satellite at 320 kn?

The formula for calculating the time period of a satellite is T = 2π√(r^3/GM), where T is the time period, r is the radius of the satellite's orbit, G is the gravitational constant, and M is the mass of the object being orbited.

2. How do I determine the radius of the satellite's orbit?

The radius of the satellite's orbit can be determined by using the given speed of the satellite (320 kn) and the formula v = √(GM/r). Rearranging the formula to solve for r, we get r = GM/v^2.

3. What units should I use for the time period calculation?

The units used for the time period calculation should be consistent with the units used for the given speed (320 kn) and the gravitational constant (G). For example, if 320 kn is given in kilometers per hour, then the time period should be calculated in hours.

4. How does the mass of the object being orbited affect the time period?

The mass of the object being orbited (M) directly affects the time period (T) of the satellite. As the mass increases, the time period also increases. This is because a larger mass exerts a greater gravitational force, requiring the satellite to travel at a slower speed to maintain its orbit.

5. Is the speed of a satellite at 320 kn a constant value?

No, the speed of a satellite at 320 kn is not a constant value. It can vary depending on the altitude and the mass of the object being orbited. The given speed of 320 kn is likely an average speed over a specific period of time.

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