PhysicsLibrary

Tools & Computations

Volume I: Mechanics & Energy

The Laws of Nature

"Computations for the curious mind. Explore our archive of physics tools designed for precision and clarity."

Velocity Calculator

Calculate velocity from displacement and time.

Fig. 7 Calculate →

Acceleration Calculator

Calculate acceleration from velocity change and time.

Fig. 39 Calculate →

Displacement Calculator

Calculate displacement using velocity and time.

Fig. 50 Calculate →

Free Fall Calculator

Calculate distance fallen under gravity.

Fig. 25 Calculate →

Force Calculator (Newton's 2nd Law)

Calculate force from mass and acceleration.

Fig. 77 Calculate →

Weight Calculator

Calculate weight force from mass.

Fig. 60 Calculate →

Momentum Calculator

Calculate momentum.

Fig. 58 Calculate →

Impulse Calculator

Calculate impulse from force and time.

Fig. 98 Calculate →

Kinetic Energy Calculator

Calculate kinetic energy.

Fig. 1 Calculate →

Gravitational Potential Energy

Calculate potential energy due to gravity.

Fig. 78 Calculate →

Work Calculator

Calculate work done.

Fig. 97 Calculate →

Power Calculator

Calculate power from work and time.

Fig. 89 Calculate →

Density Calculator

Calculate density from mass and volume.

Fig. 85 Calculate →

Pressure Calculator

Calculate pressure from force and area.

Fig. 73 Calculate →

Flow Rate Calculator

Calculate flow rate from volume and time.

Fig. 21 Calculate →

Specific Heat Calculator

Calculate heat energy (Q).

Fig. 48 Calculate →

Voltage Calculator (Ohm's Law)

Calculate Voltage (V).

Fig. 32 Calculate →

Current Calculator (Ohm's Law)

Calculate Current (I).

Fig. 4 Calculate →

Resistance Calculator (Ohm's Law)

Calculate Resistance (R).

Fig. 62 Calculate →

Electric Power (VI)

Calculate electric power using P=VI.

Fig. 8 Calculate →

Resistors in Series

Calculate equivalent resistance equivalent in series.

Fig. 70 Calculate →

Resistors in Parallel

Calculate equivalent resistance in parallel.

Fig. 64 Calculate →

Capacitors in Parallel

Calculate equivalent capacitance in parallel.

Fig. 90 Calculate →

Capacitors in Series

Calculate equivalent capacitance in series.

Fig. 13 Calculate →

Coulomb's Law Calculator

Calculate electrostatic force.

Fig. 29 Calculate →

Wave Speed Calculator

Calculate wave speed from frequency and wavelength.

Fig. 30 Calculate →

Frequency Calculator

Calculate frequency from wave speed and wavelength.

Fig. 87 Calculate →

Period Calculator

Calculate period from frequency.

Fig. 3 Calculate →

Wavelength Calculator

Calculate wavelength from speed and frequency.

Fig. 29 Calculate →

Snell's Law Calculator

Calculate refraction angle.

Fig. 1 Calculate →

Lens Equation Calculator

Calculate focal length.

Fig. 1 Calculate →

Magnification Calculator

Calculate magnification from distances.

Fig. 35 Calculate →

Mass-Energy Equivalence

Calculate energy from mass (E=mc²).

Fig. 18 Calculate →

Photon Energy Calculator

Calculate photon energy.

Fig. 97 Calculate →

De Broglie Wavelength

Calculate de Broglie wavelength.

Fig. 66 Calculate →

Centripetal Acceleration

Calculate centripetal acceleration.

Fig. 71 Calculate →

Centripetal Force Calculator

Calculate centripetal force.

Fig. 91 Calculate →

Torque Calculator

Calculate torque.

Fig. 46 Calculate →

Angular Velocity Calculator

Calculate angular velocity.

Fig. 15 Calculate →

Angular Acceleration Calculator

Calculate angular acceleration.

Fig. 29 Calculate →

Rotational KE Calculator

Calculate rotational kinetic energy.

Fig. 12 Calculate →

Magnetic Force Calculator

Calculate magnetic force on a charge.

Fig. 3 Calculate →

Wire Magnetic Force Calculator

Calculate magnetic force on a current-carrying wire.

Fig. 30 Calculate →

Ideal Gas Law (Pressure)

Calculate pressure of ideal gas (PV=nRT).

Fig. 50 Calculate →

Hooke's Law Calculator

Calculate spring force.

Fig. 10 Calculate →

Elastic PE Calculator

Calculate spring potential energy.

Fig. 4 Calculate →

Projectile Range Calculator

Calculate horizontal range of a projectile.

Fig. 75 Calculate →

Projectile Max Height

Calculate maximum height of a projectile.

Fig. 52 Calculate →

Doppler Effect (Source Moving)

Calculate observed frequency (approaching).

Fig. 72 Calculate →

Bernoulli's Equation Check

Calculate constant: P + 0.5ρv² + ρgh.

Fig. 73 Calculate →

Buoyant Force (Archimedes)

Calculate buoyant force Fb = ρVg.

Fig. 46 Calculate →

Pascal's Law (Hydraulics)

Calculate F2 given F1, A1, A2 (F1/A1 = F2/A2).

Fig. 70 Calculate →

Escape Velocity

Calculate Ve = sqrt(2GM/R).

Fig. 39 Calculate →

Orbital Velocity

Calculate Vo = sqrt(GM/R).

Fig. 71 Calculate →

Time Dilation (Special Relativity)

Calculate dilated time t' = t / sqrt(1 - v²/c²).

Fig. 5 Calculate →

Length Contraction

Calculate contracted length L = L0 * sqrt(1 - v²/c²).

Fig. 41 Calculate →

Planck Relation (E=hf)

Calculate energy of photon E = hf.

Fig. 74 Calculate →

Wien's Displacement Law

Calculate peak wavelength λmax = b / T.

Fig. 45 Calculate →

Stefan-Boltzmann Law

Calculate Power P = σAT⁴.

Fig. 55 Calculate →

RMS Voltage (AC)

Calculate Vrms = Vpeak / √2.

Fig. 2 Calculate →

Transformer Equation

Calculate Secondary Voltage V2 = V1 * (N2/N1).

Fig. 72 Calculate →

LC Resonance Frequency

Calculate f = 1 / (2π√LC).

Fig. 86 Calculate →

Capacitive Reactance

Calculate Xc = 1 / (2πfC).

Fig. 48 Calculate →

Inductive Reactance

Calculate Xl = 2πfL.

Fig. 40 Calculate →

Young's Modulus

Calculate E = (F/A) / (ΔL/L0).

Fig. 68 Calculate →

Shear Modulus

Calculate G = Shear Stress / Shear Strain.

Fig. 16 Calculate →

Bulk Modulus

Calculate K = -ΔP / (ΔV/V).

Fig. 23 Calculate →

Sound Intensity Level

Calculate dB = 10 * log10(I/I0).

Fig. 77 Calculate →

Beat Frequency

Calculate f_beat = |f1 - f2|.

Fig. 68 Calculate →

Mach Number

Calculate M = v / c (speed of sound).

Fig. 34 Calculate →

Simple Pendulum Period

Calculate T = 2π√(L/g).

Fig. 82 Calculate →

Physical Pendulum Period

Calculate T = 2π√(I/mgd).

Fig. 82 Calculate →

Lorentz Factor (γ)

Calculate γ = 1 / sqrt(1 - v²/c²).

Fig. 86 Calculate →

Relativistic Mass

Calculate m = m0 / sqrt(1 - v²/c²).

Fig. 64 Calculate →

Brewster's Angle

Calculate θb = arctan(n2/n1).

Fig. 88 Calculate →

Critical Angle

Calculate θc = arcsin(n2/n1).

Fig. 35 Calculate →

Mirror Equation

Calculate focal length f = (do*di)/(do+di).

Fig. 58 Calculate →

Froude Number

Calculate Fr = v / sqrt(g*L).

Fig. 9 Calculate →

Weber Number

Calculate We = (ρv²L)/σ.

Fig. 99 Calculate →

Prandtl Number

Calculate Pr = (cp * μ) / k.

Fig. 65 Calculate →

Nusselt Number

Calculate Nu = (h * L) / k.

Fig. 50 Calculate →

Heat Conduction (Fourier Law)

Calculate Rate q = -kA(ΔT/Δx).

Fig. 86 Calculate →

Linear Thermal Expansion

Calculate ΔL = α * L0 * ΔT.

Fig. 47 Calculate →

Carnot Efficiency

Calculate η = 1 - Tc/Th.

Fig. 2 Calculate →

Entropy Change (Heat Transfer)

Calculate ΔS = Q / T.

Fig. 34 Calculate →

Energy Stored in Capacitor

Calculate E = 0.5 * C * V².

Fig. 35 Calculate →

Energy Stored in Inductor

Calculate E = 0.5 * L * I².

Fig. 9 Calculate →

RC Time Constant

Calculate τ = R * C.

Fig. 97 Calculate →

RL Time Constant

Calculate τ = L / R.

Fig. 50 Calculate →

Impulse (Change in Momentum)

Impulse J = m(vf - vi).

Fig. 26 Calculate →

Elastic Collision (V1 Final)

Final vel of mass 1 in 1D elastic collision.

Fig. 16 Calculate →

Drag Force Equation

Calculate Fd = 0.5 * ρ * v² * Cd * A.

Fig. 14 Calculate →

Stokes' Law (Viscous Drag)

Calculate Fd = 6πμrv (Laminar flow sphere).

Fig. 56 Calculate →

Center of Mass (2-Body)

Calculate Xcm = (m1x1 + m2x2) / (m1+m2).

Fig. 29 Calculate →

Moment of Inertia (Disk)

Calculate I = 0.5 * M * R².

Fig. 13 Calculate →

Moment of Inertia (Solid Sphere)

Calculate I = 0.4 * M * R².

Fig. 1 Calculate →

Newton's Gravity Force

Calculate Fg = (G*m1*m2)/r².

Fig. 42 Calculate →

Kepler's Third Law

Calculate Period T using T² = (4π²/GM)r³.

Fig. 47 Calculate →

Schwarzschild Radius

Calculate Rs = 2GM/c² (Black Hole Radius).

Fig. 68 Calculate →