General physics
Kinematics, forces, energy, calorimetry and waves, at coursework level.
- Buoyancy calculator, Archimedes’ principleFloats or sinks, submerged fraction, buoyant force on a volume and apparent weight under the fluid, with the usual fluids preset.
- Calorimetry calculatorQ = mcΔT, latent heat and equilibrium temperature of a mixture, with the sign convention.
- Coulomb’s law and electric field calculatorForce between two charges, field created by one charge and force on a test charge, with the attractive or repulsive nature named.
- Doppler effect calculator (sound)Perceived frequency when the source and the observer move, with a single sign convention, the source/observer asymmetry and the sound-barrier limit.
- Free fall and projectile motion calculatorFall time, range, maximum height and impact speed without air resistance, with editable g (Earth, Moon, Mars) and the worked calculation.
- Gravitation and circular orbit calculatorOrbital speed, period, escape velocity and local gravity of a circular orbit, for any central body, ISS included.
- Hooke’s law calculator (F = kx)Force, stiffness or extension of a spring (F = kx), stiffness from a hanging mass, and elastic energy ½kx².
- Hydrostatic pressurePressure at a depth (P = P₀ + ρgh) or depth of a gauge pressure, both gauge and absolute, with the usual fluids.
- Inclined plane and friction calculatorWhether a body on a slope holds or slides: critical angle, force decomposition and acceleration, with the actual static friction kept apart from the maximum.
- Kinetic and potential energy, conversion by fallingEk = ½mv² and Ep = mgh both ways, and the fall converting one into the other with v = √(2gh), independent of mass.
- Momentum and collision calculatorp = mv, elastic and perfectly inelastic collisions in one dimension, with conservations checked and the lost energy quantified.
- Simple pendulum and mass-spring oscillator calculatorPeriod, frequency and angular frequency of the simple pendulum and the mass-spring oscillator, with the exact amplitude correction from the elliptic integral.
- Speed, distance, timeAverage speed, distance travelled or travel time, with the duration in hours-minutes-seconds and km/h ↔ m/s conversion.
- Waves: frequency and wavelengthFrequency, wavelength and propagation speed (v = λf), with the usual media and photon energy for light.
- Work and powerWork of a force (W = F·d·cos θ) and power (P = W/t or P = F·v), with the three regimes of cos θ named.