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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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Manager
Joined: 24 May 2010
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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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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 ?

Kudos [?]: 57 [0], given: 1

Ms. Big Fat Panda
Status: Three Down.
Joined: 09 Jun 2010
Posts: 1916

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Concentration: General Management, Nonprofit
Re: Is C = sqrt(W/L) by what factor does C increase if W triples and L is [#permalink]

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02 Aug 2010, 14:25
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$$C = \sqrt{\frac{W}{L}}$$

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.

Kudos [?]: 2180 [1], given: 210

Joined: 19 Feb 2010
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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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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!

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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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30 Aug 2017, 21:12
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Re: Is C = sqrt(W/L) by what factor does C increase if W triples and L is   [#permalink] 30 Aug 2017, 21:12
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