# Need help with this(dimensional analysis) (1 Viewer)

### Users Who Are Viewing This Thread (Users: 0, Guests: 1)

#### 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

Homework Helper
Gold Member
allaputa said:
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

Staff Emeritus
Gold Member
I don't think anyone is going to miss the equation...

### The Physics Forums Way

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving