vault backup: 2026-08-21 11:27:13

2026-08-21 11:27:14 -04:00
parent 676f3f72dd
commit e4b3f3c32d
3 changed files with 25 additions and 23 deletions
@@ -2,7 +2,7 @@

 # Summary
 * Pressure difference between fluids causes flow.
-* $A_1v_1=A_2v_2$ expresses conservation of mass. Narrow area force faster speeds to incompressible fluids.
+* Continuity equation: $A_1v_1=A_2v_2$ expresses conservation of mass. Narrow area force faster speeds to incompressible fluids.
 * Bernoulli's equation: $P_1+pgy_1+\frac{1}{2}pv_1^2=P_1+pgy_2+\frac{1}{2}pv_2^2$ expresses conservation of energy along a streamline.
 * Faster fluid has lower pressure and vice versa
 * Torricelli's theorem: $v=\sqrt{2g\Delta y}$ is derived from energy conservation and gives exit speed of draining fluid.
@@ -7,6 +7,8 @@ r is radial distance
 Several discrete objects:
 $$I_{tot}=\Sigma I_i=\Sigma m_i r^2$$

+Kinetic energy from rotation formula:
+$$KE_{rot}=\frac{1}{2}Iw^2$$
 # Parallel Axis Theorem
 Essentially shifting the axis and calculating the new inertia.
 $$I'=I_{cm}+Md^2$$