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Thread: Exponent equation help

  1. #1
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    Exponent equation help

    Hi I'm new to the forum so apologies if I've posted in the wrong section or my title is misleading.

    My maths isn't great but I have a problem to solve using a pressure drop formulae 0.3=(800*160*300^2)/(7d^5.31)

    So I need to solve for d to figure out my pipe diameter and I've got this far...

    2.1d^5.31=11520000000 (Multiplying both sides by 7d^5.31)

    d^5.31=5485714285.71 (Dividing both sides by 2.1)

    This is as far as I've got and I'm unsure on the next step I wondered if somebody could point me in the right direction please? (Or point out I've gone wrong already if so)
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  2. #2
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    Re: Exponent equation help

    $\dfrac{(800)(600)(300^2)}{7d^{5.31}} = 0.3$

    $480000\cdot 90000 = 2.1 d^{5.31}$

    $\dfrac{1296000000000}{7} = d^{5.31}$

    $d = \left(\dfrac{1296000000000}{7}\right)^{1/5.31} = 132.416$
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  3. #3
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    Re: Exponent equation help

    Quote Originally Posted by Satnav View Post
    0.3=(800*160*300^2)/(7d^5.31)
    This makes it a little easier:

    u = 800*160*300^2

    u / (7d^5.31) = 3 / 10

    RULE: if a^p = x, then a = x^(1/p) : as Sir Romsek showed you
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