What Is the Correct Unit for a in the Equation P + av^2 = b?

[Michael_Light]

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 answer provided is density...

Homework Equations

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...

 

[Delphi51]

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.

 

[Michael_Light]

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]

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.