Help in rearranging a formulae

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The discussion centers on rearranging the formula PAvail = 1/2 ρAv^{3}C_{p} to isolate the variable v. The user initially derived v^{3} = (2PAvail) / (ρACp) and suggested taking the cube root of both sides to solve for v. Participants clarified that PAvail represents a single variable and emphasized the importance of correct notation in mathematical expressions. The conversation highlights the collaborative effort in solving mathematical problems and the significance of clear communication in formula manipulation.

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Fornicis
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Hi all,

I was wondering if anyone could give me a hand in rearranging the following formulae to make v the subject?

PAvail = 1/2 ρAv^{3}C_{p}

This isn't for homework, its simply something I'm interested in and I would be immensely grateful to anyone who could do this for me.

Oh and before anyone says, I have tried to myself but I just want a second opinion as what it came out with for me seemed a bit off
 
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v3 = (2PAvail) / (ρACp)
and then take the cube root of both sides.

Is "PAvail" five different variables, or two, or one? Hard to tell... Anyway, same answer in any case.
 
Thats similar to what I got, though less brackets which could have resulted in miscalculations, and in this case its just one but as you said, it can be interchangeable, and that part is key :) thank you very much
 
Fornicis said:
Hi all,

I was wondering if anyone could give me a hand in rearranging the following formulae to make v the subject?

PAvail = 1/2 ρAv^{3}C_{p}
Minor point: this is a formula. Formulae is the plural of formula.
Fornicis said:
This isn't for homework, its simply something I'm interested in and I would be immensely grateful to anyone who could do this for me.

Oh and before anyone says, I have tried to myself but I just want a second opinion as what it came out with for me seemed a bit off
 

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