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Is C = sqrt(W/L) by what factor does C increase if W triples and L is

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Is C = sqrt(W/L) by what factor does C increase if W triples and L is [#permalink]

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New post 31 Jul 2010, 14:45
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Is \(C = \sqrt{\frac{W}{L}}\) by what factor does C increase if W triples and L is cut in half ?
Ms. Big Fat Panda
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Re: Is C = sqrt(W/L) by what factor does C increase if W triples and L is [#permalink]

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New post 02 Aug 2010, 14:25
\(C = \sqrt{\frac{W}{L}}\)

Now, if you triple W and reduce L by half we get: \(C = \sqrt{\frac{3W}{\frac{L}{2}}}\) \(= \sqrt{\frac{6W}{L}} =\sqrt{6}\sqrt{\frac{W}{L}} = \sqrt{6}C\)


Hope this helps.
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Re: Is C = sqrt(W/L) by what factor does C increase if W triples and L is [#permalink]

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New post 08 Sep 2010, 08:51
whiplash2411 wrote:
\(C = \sqrt{\frac{W}{L}}\)

Now, if you triple W and reduce L by half we get: \(C = \sqrt{\frac{3W}{\frac{L}{2}}}\) \(= \sqrt{\frac{6W}{L}} =\sqrt{6}\sqrt{\frac{W}{L}} = \sqrt{6}C\)


Hope this helps.


Excellent explanation!
Re: Is C = sqrt(W/L) by what factor does C increase if W triples and L is   [#permalink] 08 Sep 2010, 08:51
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