Need help with this(dimensional analysis)

[allaputa]

It is observed that the velocity 'v' of a liquid having a nozzle depends upon the pressure drop 'P'and the density'p'.Show that the relationship between them is of the form.


v=C[P/p]raised to power of 1/2

 

[nrqed]

It is observed that the velocity 'v' of a liquid having a nozzle depends upon the pressure drop 'P'and the density'p'.Show that the relationship between them is of the form.


v=C[P/p]raised to power of 1/2

What are your thoughts? What do you know?

Write v, P and $\rho$ in terms of the three fundamental units: kg, meter and second. Then the answer should be obvious.

Patrick

 

[Hootenanny]

I don't think anyone is going to miss the equation...