Angular velocity of a satellite

In summary, to find the magnitude of the angular velocity of a 5.00x10^3kg satellite orbiting the Earth at a height of 8.00x10^2km, using the equation Gm1m2/r^2=v^2/r, we can eliminate m2 and simply solve for v, which would give us a value of 1.23x10^-3. However, this may not match any of the multiple choice options given.
  • #1
crazuiee
24
0

Homework Statement



A 5.00x10^3kg is orbiting the Earth in a circular path. The height of the satellite above the Earth is 8.00x10^2km what is the magnitude of the angular velociy?
Mass of earth: 5.98x10^24kg
radius of Earth plus satellite:6380800m
G:6.674x10^-11

Homework Equations



Gm1m2/r^2=v^2/r

The Attempt at a Solution


I know the satellite isn't involved I keep getting 1.23x10-3 but it's not any of the choices for multiple choice. Can anyone explain how to do this problem
 
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  • #2
do u mean with g the gravitacional forces
 
  • #3
G the gravitational constant
 
  • #4
try it with this gm1m2/r2=v2/r then get into this gm1m2 x r = v2 x r2
 
  • #5
Welcome to PF!

Hi crazuiee! Welcome to PF! :smile:

(try using the X2 and X2 tags just above the Reply box :wink:)
crazuiee said:
Gm1m2/r^2=v^2/r

Leave out m2, and that's correct :wink:

(But did you add just 800 metres? :redface:)

Show us your full calculations if you want us to check for the mistake. :smile:
 
  • #6
oh right about m2 tim dident notice that
 

FAQ: Angular velocity of a satellite

What is angular velocity of a satellite?

The angular velocity of a satellite is the rate at which it rotates around its axis, measured in radians per second or degrees per second.

How is angular velocity of a satellite calculated?

The angular velocity of a satellite can be calculated by dividing the angle of rotation by the time it takes for the satellite to complete one full rotation.

Why is angular velocity important for satellites?

Angular velocity is important for satellites because it determines the speed and direction of their orbit around the Earth. It also plays a role in the stability and control of the satellite's movements.

How does the angular velocity of a satellite affect its orbital period?

The angular velocity of a satellite is directly proportional to its orbital period. This means that the faster the satellite's angular velocity, the shorter its orbital period will be.

Can the angular velocity of a satellite be changed?

Yes, the angular velocity of a satellite can be changed through various methods such as using thrusters or altering its orbit. However, this requires careful planning and precise calculations to maintain the satellite's stability and functionality.

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