Rearranging PAvail = 1/2 ρAv³Cp to make v the subject

[Fornicis]

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

 

[tfr000]

v³ = (2PAvail) / (ρAC_p)
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.

 

[Fornicis]

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

 

[Mark44]

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.

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