diff --git a/.obsidian/graph.json b/.obsidian/graph.json index d48cdfd..7b50f4c 100644 --- a/.obsidian/graph.json +++ b/.obsidian/graph.json @@ -17,6 +17,6 @@ "repelStrength": 18.5634118967452, "linkStrength": 1, "linkDistance": 52, - "scale": 0.33888350495621683, + "scale": 0.6683489792888331, "close": true } \ No newline at end of file diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index b1a8596..dfcaabf 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -9,553 +9,35 @@ "dimension": 50, "children": [ { - "id": "12aa1fac4c2fb0ed", + "id": "470a0ec0619cc58a", "type": "leaf", "state": { "type": "markdown", "state": { - "file": "biology/Cell Structure and Function/Origins of Cell Compartmentalization.md", + "file": "Physics/Fluids/Fluid and Conservation Laws.md", "mode": "source", "source": false }, "icon": "lucide-file", - "title": "Origins of Cell Compartmentalization" + "title": "Fluid and Conservation Laws" } }, { - "id": "a9ad2051e13d9678", + "id": "ca462f3fa811b1ff", "type": "leaf", "state": { "type": "markdown", "state": { - "file": "physics/Force and Translational Dynamics/Gravitational Force.md", + "file": "Physics/Fluids/Fluid and Conservation Laws.md", "mode": "source", "source": false }, "icon": "lucide-file", - "title": "Gravitational Force" - } - }, - { - "id": "33e06a1402832f18", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "physics/Force and Translational Dynamics/Spring Force.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Spring Force" - } - }, - { - "id": "a43250c06a5815f1", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "physics/Work Energy and Power/Work Energy and Power.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Work Energy and Power" - } - }, - { - "id": "c320b38b4fa41973", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "physics/Work Energy and Power/Translational Kinetic Energy.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Translational Kinetic Energy" - } - }, - { - "id": "f0185690f07606fe", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "physics/Work Energy and Power/Work.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Work" - } - }, - { - "id": "4d43db135bca3764", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "physics/Work Energy and Power/Potential Energy.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Potential Energy" - } - }, - { - "id": "efec690eab1c5e4d", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "physics/Force and Translational Dynamics/Conservation of Energy.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Conservation of Energy" - } - }, - { - "id": "fd4f04ae3f91eb93", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "biology/Cell Structure and Function/Cell Structure and Function.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Cell Structure and Function" - } - }, - { - "id": "b0824d2f17928804", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "biology/Cell Structure and Function/Cell Size.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Cell Size" - } - }, - { - "id": "06a39bf497ec6f5c", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "biology/Cell Structure and Function/Plasma Membrane.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Plasma Membrane" - } - }, - { - "id": "c867ec24be551004", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "biology/Cell Structure and Function/Membrane Permeability.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Membrane Permeability" - } - }, - { - "id": "8367d7ba8323af4c", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "biology/Cell Structure and Function/Facilitated Diffusion.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Facilitated Diffusion" - } - }, - { - "id": "f62d854c8d242ce6", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "biology/Cell Structure and Function/Tonicity and Osmoregulation.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Tonicity and Osmoregulation" - } - }, - { - "id": "eb113c7264f89721", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "biology/Cell Structure and Function/Tonicity and Osmoregulation.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Tonicity and Osmoregulation" - } - }, - { - "id": "d0594e201045a677", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "biology/Cell Structure and Function/Mechanisms of Transport.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Mechanisms of Transport" - } - }, - { - "id": "6f76b2621e2c4c8a", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "biology/Cell Structure and Function/Cell Compartmentalization.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Cell Compartmentalization" - } - }, - { - "id": "923a0a3d0dbdab4d", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "biology/Cell Structure and Function/Origins of Cell Compartmentalization.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Origins of Cell Compartmentalization" - } - }, - { - "id": "fc95e84dd0f0f1ad", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "biology/Cellular Energetics/Cellular Energetics.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Cellular Energetics" - } - }, - { - "id": "7463e8447b134887", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "physics/Linear Momentum/Linear Momentum.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Linear Momentum" - } - }, - { - "id": "852d1e534d72faad", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "physics/Linear Momentum/Linear Momentum.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Linear Momentum" - } - }, - { - "id": "42e14c3b78f024e2", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "physics/Linear Momentum/Conservation of Linear Momentum.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Conservation of Linear Momentum" - } - }, - { - "id": "7443031d4cceba31", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "physics/Linear Momentum/Elastic and Inelastic Collisions.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Elastic and Inelastic Collisions" - } - }, - { - "id": "da9855a3af2e842a", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "physics/Torque and Rotational Dynamics/Torque and Rotational Dynamics.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Torque and Rotational Dynamics" - } - }, - { - "id": "eca04304cac08d4f", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "physics/Torque and Rotational Dynamics/Rotational Kinematics.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Rotational Kinematics" - } - }, - { - "id": "8e35a717466e6d07", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "physics/Torque and Rotational Dynamics/Connecting Linear and Rotational Motion.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Connecting Linear and Rotational Motion" - } - }, - { - "id": "002d104867160f1d", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "physics/Torque and Rotational Dynamics/Torque.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Torque" - } - }, - { - "id": "79b4d1ea119be19d", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "Physics/Torque and Rotational Dynamics/Rotational Inertia.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Rotational Inertia" - } - }, - { - "id": "ff8865cb8697adc0", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "Physics/Torque and Rotational Dynamics/Torque.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Torque" - } - }, - { - "id": "7db73d4dfe43f6a6", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "Physics/Torque and Rotational Dynamics/Rotational Inertia.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Rotational Inertia" - } - }, - { - "id": "cdb0e1ef4ca1c7dc", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "Physics/Oscillations/Oscillations.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Oscillations" - } - }, - { - "id": "f2f28cf5ee566df3", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "Physics/Oscillations/Defining Simple Harmonic Motion (SHM).md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Defining Simple Harmonic Motion (SHM)" - } - }, - { - "id": "24123a30989dec7d", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "Physics/Oscillations/Frequency and Period of SHM.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Frequency and Period of SHM" - } - }, - { - "id": "6b99dbd1177ba8f3", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "Physics/Oscillations/Representing and Analyzing SHM.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Representing and Analyzing SHM" - } - }, - { - "id": "382a6f48ba97f4c9", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "Physics/Oscillations/Energy of Simple Harmonic Oscillators.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Energy of Simple Harmonic Oscillators" - } - }, - { - "id": "f0e8003a7c9712b5", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "ROOT.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "ROOT" - } - }, - { - "id": "01ba192687a43995", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "Physics/Fluids/Internal Structure and Density.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Internal Structure and Density" - } - }, - { - "id": "fc5f884080e150e3", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "Physics/Fluids/Pressure.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Pressure" - } - }, - { - "id": "0e10bd364b1926ce", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "Physics/Fluids/Fluid and Newton Laws.md", - "mode": "source", - "source": false - }, - "icon": "lucide-file", - "title": "Fluid and Newton Laws" + "title": "Fluid and Conservation Laws" } } ], - "currentTab": 38 + "currentTab": 1 }, { "id": "25da4f0a48a8e7cd", @@ -740,35 +222,35 @@ "obsidian-excalidraw-plugin:New drawing": false } }, - "active": "0e10bd364b1926ce", + "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/Fluids/Pressure.md", - "Physics/Fluids/Fluid and Newton Laws.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/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", - "Math/Math.md", - "Medical/Medical.md", - "ROOT.md", - "Physics/Physics.md", - "Physics/Oscillations/Energy of Simple Harmonic Oscillators.md", "Physics/Fluids", - "Physics/Oscillations/Representing and Analyzing SHM.md", - "Physics/Oscillations/Frequency and Period of SHM.md", - "Physics/Oscillations/Oscillations.md", - "Physics/Oscillations/Defining Simple Harmonic Motion (SHM).md", - "Physics/Force and Translational Dynamics/Spring Force.md", - "Physics/Force and Translational Dynamics/System and Center of Mass.md", - "Biology/Chemistry of Life/Chemistry of Life.md", - "Biology/Chemistry of Life/Macromolecules.md", - "Literacy/buzzwords.md", - "Literacy/fallacies.md", - "Physics/Linear Momentum/Elastic and Inelastic Collisions.md", - "Physics/Linear Momentum/Linear Momentum.md", - "Physics/Linear Momentum/Change in Linear Momentum and Impulse.md", - "Physics/Linear Momentum/Conservation of Linear Momentum.md", "Physics/Oscillations", "Physics/Torque and Rotational Dynamics", "Assets/Pasted image 20260819112153.png", diff --git a/physics/Fluids/Fluid and Conservation Laws.md b/physics/Fluids/Fluid and Conservation Laws.md new file mode 100644 index 0000000..24821e6 --- /dev/null +++ b/physics/Fluids/Fluid and Conservation Laws.md @@ -0,0 +1,9 @@ +[[Fluids]] + +# 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. +* 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. +* Assume fluids are ideal unless stated otherwise. \ No newline at end of file diff --git a/physics/Fluids/Fluid and Newton Laws.md b/physics/Fluids/Fluid and Newton Laws.md index 568cc25..4a35f91 100644 --- a/physics/Fluids/Fluid and Newton Laws.md +++ b/physics/Fluids/Fluid and Newton Laws.md @@ -1 +1,8 @@ -[[Fluids]] \ No newline at end of file +[[Fluids]] + +# Summary +* Fluid particles obey Newton laws. +* Buoyant force is a net upwards force on an object in a fluid, caused by pressure and increases with depth. +* Buoyant force equals weight of fluid displaced: $F_b=pVg$ where p is fluid density and V is displaced volume. +* For a floating object, buoyant force equals the object's weight: $V_{submerged}/V=p_{object}/P_{fluid}$ +* Object floats when density is less than fluids and sinks when it's greater. \ No newline at end of file diff --git a/physics/Physics AP Exam Tips.md b/physics/Physics AP Exam Tips.md new file mode 100644 index 0000000..5be85d4 --- /dev/null +++ b/physics/Physics AP Exam Tips.md @@ -0,0 +1,2 @@ +[[Physics]] +* Assume fluids are ideal unless stated otherwise. \ No newline at end of file diff --git a/physics/Torque and Rotational Dynamics/Rotational Inertia.md b/physics/Torque and Rotational Dynamics/Rotational Inertia.md index 59aee58..815a2e0 100644 --- a/physics/Torque and Rotational Dynamics/Rotational Inertia.md +++ b/physics/Torque and Rotational Dynamics/Rotational Inertia.md @@ -8,6 +8,7 @@ Several discrete objects: $$I_{tot}=\Sigma I_i=\Sigma m_i r^2$$ # Parallel Axis Theorem +Essentially shifting the axis and calculating the new inertia. $$I'=I_{cm}+Md^2$$ - $I$' is rotational inertia about the parallel axis (kg⋅m²) - $I_{cm}$ is rotational inertia about the center-of-mass axis (kg⋅m²)