Calculate the speed of a satellite

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SUMMARY

The discussion focuses on calculating the speed and time period of a satellite orbiting Earth at an altitude of 600 km. The radius of Earth is given as 6400 km, and its mass is 6 x 1024 kg. Key calculations involve determining the gravitational pull at the satellite's altitude and using the formula for orbital velocity. The correct approach requires understanding the total distance from the Earth's center and applying relevant physics equations.

PREREQUISITES
  • Understanding of gravitational force and its impact on orbital motion
  • Familiarity with the formula for orbital velocity: v = √(GM/r)
  • Knowledge of the concept of time period in circular motion
  • Basic understanding of units and conversions in physics
NEXT STEPS
  • Study the derivation of the orbital velocity formula in the context of Newton's law of gravitation
  • Learn how to calculate the gravitational force acting on objects at different altitudes
  • Explore the concept of angular velocity and its relation to linear velocity in circular motion
  • Investigate the effects of altitude on satellite speed and orbital period
USEFUL FOR

Students studying physics, particularly those focusing on celestial mechanics, as well as educators and anyone interested in satellite dynamics and orbital calculations.

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Homework Statement


A satellite is revolving round the Earth at a height of 600 Km. Find the speed of the
satellite and the time period of the satellite, if the radius of the Earth is 6400 km, and
mass of the Earth = 6*10^24 kg.


Homework Equations





The Attempt at a Solution



Well this is what i thought of till now...
we need to work out the time it takes to get round the earth..

6400/600 = 10.6666 (recurring). so 10 hours?...opps

another look
velocity = distance /time...

is time = timeperiod... I'm confused .. lol help please
 
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Why are you dividing the radius of the Earth by the height of the satelite? Did you even think about what units you have?

What is the distance of the satellite from the center of the earth? What is the gravitational pull on the satellite at that height? What is the acceleration due to that pull? What angular speed does that correspond to?
 
distance between satellite and Earth is 600m... umm center of the Earth is not given prbly 6400/2? tht's the question given... nothin else i mean abt gravitational pull , angular speed etc.
 

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