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anonymous

  • one year ago

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?

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  1. anonymous
    • one year ago
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    you want to isolate r

  2. IrishBoy123
    • one year ago
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    this is the correct equation \(\large T^2=\frac{4π^2}{GM}r^3\)

  3. anonymous
    • one year ago
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    yes that's the one

  4. anonymous
    • one year ago
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    T2=(4π2GM)r3 \[( \frac{ 1 }{ 4\pi2gm})T2= r^3\] \[r=\sqrt[3]{\frac{ t2}{ 4\pi2gm }}\]

  5. anonymous
    • one year ago
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    deeez that's not one of my options... hold up... im new ill try to uploaod them for you

  6. anonymous
    • one year ago
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    upload

  7. IrishBoy123
    • one year ago
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    what happens if you multiply each side of the equation by GM? you can draw it if you have problems entering equations

  8. anonymous
    • one year ago
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    it gets cancelled out in the denominator and goes to the opposite side of the equation

  9. anonymous
    • one year ago
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    @Deeezzzz

  10. anonymous
    • one year ago
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    thank you

  11. IrishBoy123
    • one year ago
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    and then divide both sides by \(4 \pi^2\) ??

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