# List of formulas related to mechanics of fluid

## Density

m: mass of a volume V

$$ \rho = \frac{m}{V}(kg/m^3) $$### Pressure

F: force applied on area of A

$$ p = \frac{F}{A}(N/M^2) $$### Pressure Of Liquids

d: specific gravity(N/m^{3}), p_{o}: air pressure at the free surface (N/m^{2}), p: pressure created by the weight of liquid above, p_{B}: total pressure at the depth h

### Pascals Principle

P_{S}: pressure on the surface

### Application

A_{1}, A_{2}: area of small and large cylinders; F_{1}, F_{2}: applied and upward forces

### Archimedes Principle

d: specific gravity of liquid (N/m^{3}), V: volume of object, F_{b}: buoyant force

### Flow Rate

A: cross sectional area (m^{2}), v: flow velocity (m/s), Q: flow rate (m^{3}/s)