Satelite orbiting earth in a circular path

AI Thread Summary
To calculate the orbiting speed of a satellite 1000 km above Earth's surface, the correct radius should be 7.37E6 m, not 7.67E6 m. The derived formula for speed is v=sqrt(G*M/r), where G is the universal gravitational constant and M is the mass of Earth. An initial calculation using the incorrect radius yielded a speed of 7369 m/s, which is likely inaccurate. The user plans to consult their teacher for clarification on the values provided. Accurate calculations are crucial for determining satellite speeds in circular orbits.
cortozld
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Homework Statement



What is the orbiting speed (m/s) of a satelite orbiting Earth in a circular path 1000 km above Earth's surface? (Use 4 sig figs)

Homework Equations



universal constant of 6.67E-11
r of Earth 6.37E6 m (given by teacher)
mass of Earth 6E24 kg (given by teacher)

derived v=sqrt(G*M/r)

this is what i have read will solve this equation for me


The Attempt at a Solution



First I converted the 1000 km above Earth to m and added that and the radiace of Earth together to get 7.67E6 m (r) then I solved for v: sqrt(6.67E-11*6E24/7.37E6)=7369 m/s

what am I doing wrong? There is also a possiblity that the teacher is wrong, its happened before on his website
 
Last edited:
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Welcome to PF!

Hi cortozld! Welcome to PF! :smile:

(have a square-root: √ :wink:)
cortozld said:
r of Earth 6.37E6 m (given by teacher)
…
First I converted the 1000 km above Earth to m and added that and the radiace of Earth together to get 7.67E6 m (r) then I solved for v: sqrt(6.67E-11*6E24/7.67E6)=7369 m/s

You've used 7.67E6 instead of 7.37E6 …

does that make a difference? :smile:​
 
that was an accidental typo, my bad. I believe its my teachers website, he's been having lots of problems with it since the year started. So unless anyone has an idea about what I'm doing wrong I'll just have to talk to him on Mon.
 
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