Physics Formulas Related to Fluid Mechanics
Here we are providing providing physics formulas related to Fluid Mechanics. All important formulas related to fluid mechanics branch are covered in this article. Students are suggested to remember all formulas in order to grasp physics concepts well.
1. Density: \[ \rho = \frac{m}{V} \]2. Pressure: \[ P = \frac{F}{A} \]
3. Pascal’s Principle: \[ \Delta P = \frac{F_1}{A_1} = \frac{F_2}{A_2} \]
4. Archimedes’ Principle: \[ F_{\text{buoyant}} = \rho_{\text{fluid}} \cdot V_{\text{submerged}} \cdot g \]
5. Continuity Equation: \[ A_1 \cdot v_1 = A_2 \cdot v_2 \]
6. Bernoulli’s Equation: \[ P + \frac{1}{2} \rho v^2 + \rho gh = \text{constant} \]
7. Torricelli’s Law: \[ v = \sqrt{2gh} \]
8. Viscosity (Newtonian Fluid): \[ F_{\text{drag}} = 6 \pi \eta r v \]
9. Reynolds Number: \[ \text{Re} = \frac{\rho v L}{\eta} \]
10. Poiseuille’s Law (for Flow Rate): \[ Q = \frac{\pi \Delta P r^4}{8 \eta L} \]
11. Hagen-Poiseuille Equation (for Flow Rate): \[ Q = \frac{\pi \Delta P r^4}{8 \eta L} \left( 1 – \frac{r^2}{R^2} \right) \]
12. Torricelli’s Law (for Flow Rate): \[ Q = A \sqrt{2gh} \]
13. Torricelli’s Theorem: \[ v = \sqrt{\frac{2g(h_1 – h_2)}{1 – \left( \frac{A_2}{A_1} \right)^2}} \]
14. Poiseuille’s Law (for Resistance): \[ R = \frac{8 \eta L}{\pi r^4} \]
15. Darcy’s Law: \[ Q = -kA \frac{\Delta P}{L} \]
16. Pascal’s Law: \[ P = P_0 + \rho g h \]
17. Capillary Action: \[ h = \frac{2 \gamma \cos(\theta)}{\rho g r} \]
18. Surface Tension: \[ \gamma = \frac{F}{\ell} \]
19. Torque on a Floating Object: \[ \tau = V \cdot \rho_{\text{fluid}} \cdot g \cdot d_{\text{CG}} \cdot \sin(\theta) \]
20. Torque on a Submerged Object: \[ \tau = V \cdot \rho_{\text{fluid}} \cdot g \cdot d_{\text{CG}} \cdot \sin(\theta) \]
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