Help in rearranging a formulae

  • Context: Undergrad 
  • Thread starter Thread starter Fornicis
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Discussion Overview

The discussion revolves around rearranging the formula PAvail = 1/2 ρAv^{3}C_{p} to isolate the variable v. Participants express their interest in the formula without it being related to homework, seeking assistance and verification of their approaches.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant requests help in rearranging the formula to make v the subject, expressing uncertainty in their own attempt.
  • Another participant suggests that v^3 can be expressed as (2PAvail) / (ρACp) and mentions taking the cube root of both sides.
  • A participant agrees with the second response, noting similarities in their own result while emphasizing the importance of clarity regarding the variables involved.
  • A later post reiterates the request for help with the same formula and corrects the use of "formulae" to "formula," indicating a focus on precision in terminology.

Areas of Agreement / Disagreement

Participants generally agree on the approach to rearranging the formula, but there is some uncertainty regarding the interpretation of the variable "PAvail" and its representation. The discussion remains open without a definitive resolution.

Contextual Notes

There is a lack of clarity regarding the number of variables represented by "PAvail," which may affect the interpretation of the formula. Additionally, the participants' attempts to rearrange the formula may depend on their individual assumptions and methods.

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[itex]^{3}[/itex]C[itex]_{p}[/itex]

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[itex]^{3}[/itex]C[itex]_{p}[/itex]
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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