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johnruina
2026-08-21 11:27:14 -04:00
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3 changed files with 25 additions and 23 deletions
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.obsidian/workspace.json
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@@ -28,12 +28,12 @@
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"file": "Physics/Fluids/Fluid and Conservation Laws.md", "file": "Physics/Work Energy and Power/Power.md",
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"title": "Fluid and Conservation Laws" "title": "Power"
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@@ -224,32 +224,32 @@
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physics/Fluids/Fluid and Conservation Laws.md
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@@ -2,7 +2,7 @@
# Summary # Summary
* Pressure difference between fluids causes flow. * 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. * 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 * 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. * Torricelli's theorem: $v=\sqrt{2g\Delta y}$ is derived from energy conservation and gives exit speed of draining fluid.
physics/Torque and Rotational Dynamics/Rotational Inertia.md
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@@ -7,6 +7,8 @@ r is radial distance
Several discrete objects: Several discrete objects:
$$I_{tot}=\Sigma I_i=\Sigma m_i r^2$$ $$I_{tot}=\Sigma I_i=\Sigma m_i r^2$$
Kinetic energy from rotation formula:
$$KE_{rot}=\frac{1}{2}Iw^2$$
# Parallel Axis Theorem # Parallel Axis Theorem
Essentially shifting the axis and calculating the new inertia. Essentially shifting the axis and calculating the new inertia.
$$I'=I_{cm}+Md^2$$ $$I'=I_{cm}+Md^2$$