## Fluid Mechanics

• ### Units and Variables

• Pascal (Pa) = Newtons per meter squared
• B - buoyant force, in Newtons
• ρ - density, in kilograms per cubic meter
• V - volume, in cubic meters
• A - area, in square meters
• v - velocity, in meters per second
• F - force, in Newtons
• ${P}_{0}=1.013×{10}^{5}\text{Pa}$
• $P=\frac{F}{A}$
• $P={P}_{0}+\rho gh$
• $B=Mg$
• $B={\rho }_{\text{fluid}}gV$
• ${A}_{1}{v}_{1}={A}_{2}{v}_{2}$
• $\frac{{V}_{\text{fluid}}}{{V}_{\text{obj}}}=\frac{{\rho }_{\text{obj}}}{{\rho }_{\text{fluid}}}$
• $P+\frac{1}{2}\rho {v}^{2}+\rho gy=\text{constant}$