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Formulas

Formula Library

Learn from categorized formulas

Showing 24 of 341 formulas Page 2 of 15

Momentum

Physics → Mechanics → Momentum → Linear Momentum
$$p = mv$$
Momentum of object
📖 Physics 📚 Momentum

Gravitational Force

Physics → Mechanics → Gravitation → Force
$$F = G\frac{m_1 m_2}{r^2}$$
Force between masses
📖 Physics 📚 Gravitation

Lens Formula

Physics → Optics → Lenses → Image Formation
$$\frac{1}{f} = \frac{1}{v} + \frac{1}{u}$$
Lens relation
📖 Physics 📚 Lenses

Entropy Change

Physics → Thermodynamics → Entropy → Heat
$$\Delta S = \frac{Q}{T}$$
Entropy definition
📖 Physics 📚 Entropy

Frequency Relation

Physics → Waves → Oscillation → Frequency
$$f = \frac{1}{T}$$
Frequency definition
📖 Physics 📚 Oscillation

Capacitance

Physics → Electricity → Capacitors → Charge
$$C = \frac{Q}{V}$$
Capacitance definition
📖 Physics 📚 Capacitors

Power

Physics → Mechanics → Power → Work
$$P = \frac{W}{t}$$
Rate of work
📖 Physics 📚 Power

Density

Physics → Properties → Matter → Density
$$\rho = \frac{m}{V}$$
Mass per volume
📖 Physics 📚 Matter

Arrhenius Equation

Chemistry → Kinetics → Reaction Rate → Rate Constant
$$k = Ae^{-E_a/RT}$$
Temperature dependence
📖 Chemistry 📚 Reaction Rate

Bernoulli's Principle

Physics → Fluid Mechanics → Fluid Dynamics → Conservation of Energy in Fluids
$$P + \frac{1}{2}\rho v^2 + \rho gh = \text{constant}$$
States that for an inviscid flow of a non-conducting fluid, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy.
📖 Physics 📚 Fluid Dynamics

Stefan-Boltzmann Law

Physics → Thermodynamics → Heat Transfer → Thermal Radiation
$$P = \sigma A T^4$$
The total power radiated from a black body is proportional to the fourth power of its absolute temperature.
📖 Physics 📚 Heat Transfer

Henderson-Hasselbalch Equation

Chemistry → Physical Chemistry → Equilibrium → Acids and Bases
$$pH = pK_a + \log_{10}\left(\frac{[A^-]}{[HA]}\right)$$
Relates the pH of a buffer solution to the $pK_a$ and the ratio of conjugate base to acid concentrations.
📖 Chemistry 📚 Equilibrium

Molarity

Chemistry → General Chemistry → Solutions → Concentration Units
$$M = \frac{n}{V}$$
The number of moles of solute per liter of solution.
📖 Chemistry 📚 Solutions

Centripetal Force

Physics → Mechanics → Circular Motion → Dynamics
$$F_c = \frac{mv^2}{r}$$
The net force required to keep an object moving in a circular path.
📖 Physics 📚 Circular Motion

Standard Deviation

Math → Statistics → Descriptive Statistics → Measures of Dispersion
$$\sigma = \sqrt{\frac{\sum(x_i - \mu)^2}{N}}$$
Quantifies the amount of variation or dispersion of a set of data values.
📖 Math 📚 Descriptive Statistics

Heisenberg Uncertainty Principle

Physics → Quantum Mechanics → Modern Physics → Quantum States
$$\Delta x \Delta p \geq \frac{\hbar}{2}$$
States that the position and momentum of a particle cannot both be measured exactly at the same time.
📖 Physics 📚 Modern Physics

Euler's Identity

Math → Complex Analysis → Complex Numbers → Euler's Formula
$$e^{i\pi} + 1 = 0$$
A mathematical constant linking five fundamental mathematical constants.
📖 Math 📚 Complex Numbers

Power in Electrical Circuits

Physics → Electromagnetism → Current Electricity → Electrical Work
$$P = VI$$
The rate at which electrical energy is transferred by an electric circuit.
📖 Physics 📚 Current Electricity

Law of Sines

Math → Trigonometry → Triangles → Non-Right Triangles
$$\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$$
Relates the lengths of the sides of any triangle to the sines of its angles.
📖 Math 📚 Triangles

Gravitational Potential Energy

Physics → Mechanics → Energy → Potential Energy
$$U = mgh$$
Energy stored in an object due to its vertical position or height.
📖 Physics 📚 Energy

Bragg's Law

Physics → Solid State Physics → Crystallography → X-ray Diffraction
$$n\lambda = 2d \sin \theta$$
Conditions for constructive interference from a crystal lattice.
📖 Physics 📚 Crystallography

Capacitive Reactance

Physics → Electromagnetism → AC Circuits → Impedance
$$X_C = \frac{1}{2\pi f C}$$
Opposition to change in voltage in an alternating current circuit.
📖 Physics 📚 AC Circuits

Mean Free Path

Physics → Thermodynamics → Kinetic Theory of Gases → Molecular Collisions
$$\lambda = \frac{1}{\sqrt{2}\pi d^2 (N/V)}$$
Average distance traveled by a moving particle between successive impacts.
📖 Physics 📚 Kinetic Theory of Gases

Linear Expansion Formula

Physics → Thermodynamics → Thermal Properties → Thermal Expansion
$$\Delta L = \alpha L_0 \Delta T$$
Calculates the change in length of a material due to temperature change.
📖 Physics 📚 Thermal Properties
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