Bernoullis equation and appropriate units

[grscott_2000]

I've just completed a question using Bernoullis equation but I am unsure of what units I should give the answer in.

By taking the units of the terms in the equation to be

Pressure density velocity density acceleration height

Nm^2 Kg m^-3 m s^-1 Kg m^-3 m s^-2 m


And then simplifying I get

N m^-1 kg^2 s^-3

This doesn't look great... Am I on the right lines though?

 

[Astronuc]

Units should be in terms of energy J or kg m² s^-2 in SI/mks, or specific energy, m² s^-2.

 

[m2003]

Yes, you are on the right track. However, for the final answer, the units should be in terms of pressure, which is force per unit area. So the units for Bernoulli's equation would be N/m^2 or Pa (pascals). This unit is commonly used for pressure in the SI system. You can also use other units such as psi (pounds per square inch) or bar (1 bar = 100,000 Pa). It's important to make sure all the units in the equation cancel out and you are left with the correct unit for pressure.