anonymous
  • anonymous
PLEASEEE HELP!!!! The formula to find the period of orbit of a satellite around a planet is T2=(4π2GM)r3 where r is the orbit’s mean radius, M is the mass of the planet, and G is the universal gravitational constant. If you are given all the values except r, how do you rewrite the formula to solve for r?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
you want to isolate r
IrishBoy123
  • IrishBoy123
this is the correct equation \(\large T^2=\frac{4π^2}{GM}r^3\)
anonymous
  • anonymous
yes that's the one

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anonymous
  • anonymous
T2=(4π2GM)r3 \[( \frac{ 1 }{ 4\pi2gm})T2= r^3\] \[r=\sqrt[3]{\frac{ t2}{ 4\pi2gm }}\]
anonymous
  • anonymous
deeez that's not one of my options... hold up... im new ill try to uploaod them for you
anonymous
  • anonymous
upload
IrishBoy123
  • IrishBoy123
what happens if you multiply each side of the equation by GM? you can draw it if you have problems entering equations
anonymous
  • anonymous
it gets cancelled out in the denominator and goes to the opposite side of the equation
anonymous
  • anonymous
anonymous
  • anonymous
thank you
IrishBoy123
  • IrishBoy123
and then divide both sides by \(4 \pi^2\) ??

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