DIMENSIONAL CONSISTENCY PROBLEM

u = c*sqrt(change in p/density)

What are the units of C in SI units?
Change in p = pressure drop (force per unit are)
roe =density
c = constant

Please tell me why you get the answer you do.
I do not understand.

Question

DIMENSIONAL CONSISTENCY PROBLEM

u = c*sqrt(change in p/density)

What are the units of C in SI units?
Change in p = pressure drop (force per unit are)
roe =density
c = constant

Please tell me why you get the answer you do. 
I do not understand.

anonymous · Answer

$$u=C \sqrt{(Deltap) \div \rho}$$

isaiah.feynman · Answer

Umm first its spelt as rho.

isaiah.feynman · Answer

Something to note, to get the unit of C we need the unit of u and the unit of u depends on C!

anonymous · Answer

u= fluid velocity. 
the answer in the book says there is no unit for c, but I have no idea why

isaiah.feynman · Answer

Oh I had a nudge c is dimensionless.

anonymous · Answer

why is it though?

isaiah.feynman · Answer

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