SOLUTION: Please help with an algebra application with carburetor open mm's and rpm's. I need to reverse this formula with the existing p=4480 and D=84 for the following, and instead of p=44

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Question 259287: Please help with an algebra application with carburetor open mm's and rpm's. I need to reverse this formula with the existing p=4480 and D=84 for the following, and instead of p=4480 as the result, need D=84 as the result.
Thank you very much!
D(p)=0.75√2.8p
D(p)=(3/4)(√14/5)p
D*2=(9/16)(14/5)p
p=(16/9)(5/14)D^2
p=(16/9)(5/14)(84)^2
p=4480
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
Please help with an algebra application with carburetor open mm's and rpm's.
I need to reverse this formula with the existing p=4480 and D=84 for the following, and instead of p=4480 as the result, need D=84 as the result.
:
I assume you want to solve for p when you know d
:
The original formula
= d
:
divide both sides by .75
=
= 1.33d
:
Square both sides
2.8p = (1.33d)^2
2.8p = 1.778d^2
:
Divide both sides by 2.8
p =
:
You can check this: substitute 84 for d and confirm that p = 4480