I'd like to know the result of deriving both sides of the equation in respect to time(adsbygoogle = window.adsbygoogle || []).push({});

[itex] v= \frac {V}{m} [/itex]

[itex] \frac {d}{dt}v=( \frac {d}{dt}) \frac {V}{m} [/itex]

which gives

[itex] \dot v = . . . ? [/itex]

If you want some backup, this is a very common thermodynamics relation, where V = volume, m = mass and v = specific volume [m^{3}/kg]. In open systems, we want to know mass flow and volumetric flow so we get [itex] \dot m[/itex] [kg/s] and [itex] \dot V[/itex] [m^{3}/s]. I'd like to know if there's such a thing about specific volume as well, and that depends on how you do that derivative.

Best wishes and thanks,

An1MuS

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Derivative question

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**