SOLUTION: How do i solve w=C*r^-2 for r

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Question 177286: How do i solve w=C*r^-2 for r
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
w=Cr%5E%28-2%29 Start with the given equation.


w=C%281%2Fr%5E2%29 Rewrite r%5E%28-2%29 as 1%2Fr%5E2


w=C%2Fr%5E2 Multiply.


wr%5E2=C Multiply both sides by r%5E2


r%5E2=C%2Fw Divide both sides by "w".


r=sqrt%28C%2Fw%29 Take the square root of both sides. Note: since I'm assuming that "r" is the distance, this means that we're only considering the positive square root.


So the answer is r=sqrt%28C%2Fw%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve w=C*r^-2 for r
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Rewrite:
w = C/r^2
r^2 = C/w
r = +/-sqrt[C/w]
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Cheers,
Stan H.