Dimensional analysis problem

  • #1

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...
 

Answers and Replies

  • #2
Delphi51
Homework Helper
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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.
 
  • #3
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...
 
  • #4
Delphi51
Homework Helper
3,407
10
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.
 

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