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What is the S.I. unit for c given: u = c*sqrt(dp/r) Where: u=fluid velocity dp=c

ID: 3097653 • Letter: W

Question

What is the S.I. unit for c given: u = c*sqrt(dp/r) Where: u=fluid velocity
dp=change in pressure
r=fluid density c=proportionality constant Here's what I've done: m/s=c*sqrt((N/m2)/(Kg/m3)) m/s=c*sqrt(Kg*m4/(Kg*m2*s2)) m/s=c*(m/s)
Making c just a pure number. Is that right? Did I use the appropriate units for everything?
What is the S.I. unit for c given: u = c*sqrt(dp/r) Where: u=fluid velocity
dp=change in pressure
r=fluid density c=proportionality constant Here's what I've done: m/s=c*sqrt((N/m2)/(Kg/m3)) m/s=c*sqrt(Kg*m4/(Kg*m2*s2)) m/s=c*(m/s)
Making c just a pure number. Is that right? Did I use the appropriate units for everything?

Explanation / Answer

In your second row, N = kg * m/s^2 and you lost a meter in the denominator so is should be: m/s=c*sqrt(Kg*m3/(Kg*m3*s2)) m/s=c*sqrt(1/s2) m/s=c*1/s so c is meters.

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