How to find the speed of a planet around the sun

AI Thread Summary
To find Jupiter's orbital speed around the sun, the gravitational force equation fg=(Gm1m2)/d^2 and the centripetal force equation fc=(4π^2mr)/T^2 are relevant. The discussion highlights the need for clarity in unit consistency, particularly for the gravitational constant G and the distance d. The user initially calculated fg as 4.17 x 10^29 but received feedback indicating this value seems excessively high. Additionally, the conversation prompts consideration of what provides the centripetal force in a circular orbit and encourages the user to apply velocity-related formulas for centripetal force. Accurate calculations and unit agreement are essential for solving the problem correctly.
Matthew_Maz
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Homework Statement


THe sun has a mass of 1.99x10*30 kg. Jupiter has a mass of 1.90x10*27 kg and a mean radius of orbit around the sun of 7.78x10*8 km what is the speed that Jupiter travels in its orbit around the sun?

Homework Equations


fg=(Gm1m2)/d*2
fc=(4pie*2mr)/T*2

The Attempt at a Solution


I am not really sure how to go about solving this.. i was thinking to solve for the fg equation above, you get fg=4.17 x10*29, I am not sure if i am on the right track and some guidance would be useful. thanks[/B]
 
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Assuming that Jupiter's orbit is taken to be circular, what supplies the centripetal force?
What formula involving velocity do you know for centripetal force?

By the way, make sure that your units agree when you make a calculation; Your value for fg looks to be a bit high. What are the units of G? What units did you use for d?
 

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