From e4b3f3c32d0a1574f48c0a8e0fae898812a65ab4 Mon Sep 17 00:00:00 2001 From: johnruina Date: Fri, 21 Aug 2026 11:27:14 -0400 Subject: [PATCH] vault backup: 2026-08-21 11:27:13 --- .obsidian/workspace.json | 44 +++++++++---------- physics/Fluids/Fluid and Conservation Laws.md | 2 +- .../Rotational Inertia.md | 2 + 3 files changed, 25 insertions(+), 23 deletions(-) diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index dfcaabf..8c84043 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -28,12 +28,12 @@ "state": { "type": "markdown", "state": { - "file": "Physics/Fluids/Fluid and Conservation Laws.md", + "file": "Physics/Work Energy and Power/Power.md", "mode": "source", "source": false }, "icon": "lucide-file", - "title": "Fluid and Conservation Laws" + "title": "Power" } } ], @@ -224,32 +224,32 @@ }, "active": "ca462f3fa811b1ff", "lastOpenFiles": [ - "Physics/Thermodynamics.md", - "Physics/thermal expansion.md", - "Physics/quantum mechanics.md", - "Physics/plancks constant.md", - "Physics/Physics AP Exam Tips.md", - "Physics/Fluids/Fluid and Conservation Laws.md", + "Physics/Work Energy and Power/Potential Energy.md", + "Physics/Oscillations/Energy of Simple Harmonic Oscillators.md", + "Physics/Oscillations/Defining Simple Harmonic Motion (SHM).md", + "Physics/Oscillations/Frequency and Period of SHM.md", + "Physics/Oscillations/Representing and Analyzing SHM.md", + "Physics/Oscillations/Oscillations.md", + "Physics/Force and Translational Dynamics/Force and Translational Dynamics.md", + "Physics/Force and Translational Dynamics/Forces and Freebody Diagrams.md", + "Physics/Force and Translational Dynamics/Conservation of Energy.md", + "Physics/Force and Translational Dynamics/Circular Motion.md", + "Physics/Fluids/Fluid and Newton Laws.md", + "Physics/Fluids/Fluids.md", "Physics/Fluids/Pressure.md", "Physics/Fluids/Internal Structure and Density.md", - "ROOT.md", - "Physics/Oscillations/Energy of Simple Harmonic Oscillators.md", - "Physics/Oscillations/Representing and Analyzing SHM.md", - "Physics/Oscillations/Frequency and Period of SHM.md", - "Physics/Oscillations/Defining Simple Harmonic Motion (SHM).md", - "Physics/Oscillations/Oscillations.md", + "Physics/Fluids/Fluid and Conservation Laws.md", "Physics/Torque and Rotational Dynamics/Rotational Inertia.md", - "Physics/Torque and Rotational Dynamics/Torque.md", - "Physics/Fluids/Fluid and Newton Laws.md", - "Physics/Torque and Rotational Dynamics/Torque and Rotational Dynamics.md", - "Physics/Torque and Rotational Dynamics/Connecting Linear and Rotational Motion.md", "Physics/Torque and Rotational Dynamics/Newton's Second Law in Rotational Form.md", "Physics/Torque and Rotational Dynamics/Rotational Equilibrium and Newton's First Law in Rotational Form.md", "Physics/Torque and Rotational Dynamics/Rotational Kinematics.md", - "Physics/Fluids/Fluids.md", - "Biology/Biology.md", - "Chemistry/Chemistry.md", - "Literacy/Literacy.md", + "Physics/Torque and Rotational Dynamics/Connecting Linear and Rotational Motion.md", + "Physics/Torque and Rotational Dynamics/Torque.md", + "Physics/Work Energy and Power/Translational Kinetic Energy.md", + "Physics/Work Energy and Power/Power.md", + "Physics/Work Energy and Power/Work Energy and Power.md", + "Physics/Work Energy and Power/Work.md", + "Physics/Linear Momentum/Linear Momentum.md", "Physics/Fluids", "Physics/Oscillations", "Physics/Torque and Rotational Dynamics", diff --git a/physics/Fluids/Fluid and Conservation Laws.md b/physics/Fluids/Fluid and Conservation Laws.md index 24821e6..bd52342 100644 --- a/physics/Fluids/Fluid and Conservation Laws.md +++ b/physics/Fluids/Fluid and Conservation Laws.md @@ -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. diff --git a/physics/Torque and Rotational Dynamics/Rotational Inertia.md b/physics/Torque and Rotational Dynamics/Rotational Inertia.md index 815a2e0..ed3479c 100644 --- a/physics/Torque and Rotational Dynamics/Rotational Inertia.md +++ b/physics/Torque and Rotational Dynamics/Rotational Inertia.md @@ -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. $$I'=I_{cm}+Md^2$$