What is the speed of the satellite?

In summary, an Earth satellite moves in a circular orbit 605 km above the Earth's surface with a period of 96.6 min. Using the equation T = (2pir)/(v), the speed of the satellite is found to be approximately 453742.24 m/s. However, this may be incorrect due to a possible error in unit conversions. It is advised to double check the units and try again for the correct answer.
  • #1
1MileCrash
1,342
41

Homework Statement



An Earth satellite moves in a circular orbit 605 km above the Earth's surface. The period of the motion is 96.6 min.

What is the speed of the satellite?

Homework Equations





The Attempt at a Solution



First, I know that it is orbiting 605 km above Earth's surface. So, that number plus the radius of Earth gives a total for the radius of the motion. That comes out to be about 6976000 meters.

Then, I used the equation:

T = (2pir)/(v)

96.6 = (2pi(6967000)) / (v)

v = 453742.24

But it's marking it as incorrect. Any ideas?
 
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  • #2
Shoot me in the face for not converting units.
 
  • #3
if 2pie radius/period=speed then add radius of Earth in meters to 605E3meters plug that in for r, change the 96.6minutes to seconds plug that in for T and you should get the right answer.
 

Related to What is the speed of the satellite?

1. What exactly is the speed of a satellite?

The speed of a satellite refers to the rate at which it travels around its orbit or path. It is typically measured in kilometers per second (km/s) or miles per hour (mph).

2. How is the speed of a satellite determined?

The speed of a satellite is determined by its distance from the object it is orbiting, as well as the mass of the object and the gravitational force between them. The closer the satellite is to the object, the faster it will orbit.

3. Does the speed of a satellite change?

Yes, the speed of a satellite can change depending on its distance from the object it is orbiting, as well as any external forces such as air resistance or gravitational pull from other objects. Satellites can also be purposely slowed down or sped up by using thrusters.

4. What is the average speed of a satellite in Earth's orbit?

The average speed of a satellite in Earth's orbit is approximately 7.8 km/s or 17,500 mph. However, this can vary depending on the altitude and type of orbit the satellite is in.

5. Can a satellite ever reach the speed of light?

No, according to the laws of physics, it is impossible for any object with mass to reach the speed of light. This means that satellites, which have mass, cannot reach the speed of light even with the help of propulsion systems.

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