# Dimensional analysis problem

## Homework Statement

The equation P+av2=b is dimensionally correct. P and v represent pressure and velocity respectively. The unit of ''a'' is similar to....?

## The Attempt at a Solution

In the question... it doesn't state that what is ''b'', so should i assume that it is a constant? or there's a proper solution? Please enlighten me...

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Delphi51
Homework Helper
There is no telling if b is constant or not.
All you can say is that it has the units of pressure, so it is "similar" to pressure.

There is no telling if b is constant or not.
All you can say is that it has the units of pressure, so it is "similar" to pressure.
How do you know that ''b'' has a unit of pressure in the first place? Thanks...

Delphi51
Homework Helper
The formula P+av²=b has three terms. All of them must have the same units or dimensions because you can't add kg to meters. P is in units of pressure, so av² and b must also be in units of pressure.