Relativistic Doppler Shift Calculator
Compute the relativistic (radial) Doppler shift of light from a source moving with β = v/c relative to the observer: f_o...
Kinematics, dynamics, and classical-physics shortcuts.
Solve the common physics textbook calculations — velocity, acceleration, force, and energy — with units correctly tracked end to end.
Compute the relativistic (radial) Doppler shift of light from a source moving with β = v/c relative to the observer: f_o...
Compute the critical angle of incidence at which light travelling from a denser medium (n₁) into a rarer medium (n₂) und...
Compute the electric flux through a flat surface of area A in a uniform electric field E, where θ is the angle between t...
Compute the magnitude of the electric field a distance r from a point charge Q, using Coulomb's constant k = 8.988 × 10⁹...
Calculates radiation pressure P_rad = I/c for a perfectly absorbing surface and P_rad = 2I/c for a perfectly reflecting...
Compute the electric charge stored on a parallel-plate (or any) capacitor from its capacitance and the voltage across it...
Compute the dimensionless coefficient of restitution e (a measure of energy lost in a collision) from the pre- and post-...
Compute the wavelength of peak spectral emission of a black-body at temperature T using Wien's displacement law: λ_max =...
Compute the maximum kinetic energy of a photoelectron emitted by an incident photon of frequency f striking a metal of w...
Compute the first four harmonic frequencies of a closed (stopped) pipe of length L: only odd harmonics are present, f₁ =...
Compute the spectral radiance B_λ(T) of a blackbody at wavelength λ and temperature T using Planck's law: B_λ = 2hc² / λ...
Compute the moment of inertia of a rigid body about an axis parallel to its centre-of-mass axis, using the parallel-axis...
Compute the lateral magnification of a thin converging or diverging lens: m = −dᵢ/dₒ, where dₒ is the object distance an...
Compute the capacitance of a parallel-plate capacitor from the plate area A, the separation d, and the dielectric consta...
Compute the natural angular frequency ω, ordinary frequency f, and period T of a Hookean mass-spring oscillator: ω = √(k...
Compute the differential gravitational pull (tidal force) exerted by a distant mass M on a small body of mass m and char...
Compute the magnitude of the magnetic Lorentz force on a charged particle moving through a uniform magnetic field: F = q...
Compute the length needed for a simple pendulum to swing with a desired period (small-angle approximation): L = T² · g /...
Compute the absolute pressure at a depth h below the surface of a fluid of density ρ, given the pressure at the free sur...
Compute the gravitational time-dilation factor t/t₀ = √(1 − 2GM / (r·c²)) for a clock at distance r from a spherically s...
Convert between RMS, peak, and peak-to-peak voltages of a sinusoidal AC signal: V_peak = V_rms · √2; V_pp = 2·V_peak. Re...
Compute the output force of a hydraulic press from the input force and the ratio of output to input piston cross-section...
When no external torque acts, angular momentum I·ω is conserved. Given an initial moment of inertia I₁ and angular veloc...
Compute the time required to drain a cylindrical tank from initial liquid height h₀ through a small hole at the base, us...