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Range, peak height and flight time for any launch speed, angle and gravity.
Open calculator »Distance, speed and time for an object dropped under gravity.
Open calculator »The five constant-acceleration equations — give any three, get the rest.
Open calculator »Add two vectors from magnitudes & angles or x/y components to get the resultant.
Open calculator »Average velocity is distance travelled divided by the time taken.
Open calculator »The rate at which velocity changes over time.
Open calculator »Force, mass and acceleration — the heart of dynamics.
Open calculator »Spring force, stiffness, extension and stored elastic energy.
Open calculator »Turning effect of a force about a pivot.
Open calculator »Centripetal acceleration and force for motion in a circle.
Open calculator »Energy of motion — note the v² dependence.
Open calculator »Stored energy of a raised mass, on any world.
Open calculator »Work done by a force and how fast it is delivered.
Open calculator »Mass in motion, impulse and the change in momentum.
Open calculator »Weighted-average balance point of two or three point masses.
Open calculator »Friction force from the coefficient of friction and the normal force.
Open calculator »Full force set on a ramp — mg sinθ, mg cosθ, N, friction and acceleration — from mass, angle and friction.
Open calculator »How fast an angle is swept out — plus rpm to rad/s.
Open calculator »Final velocities in elastic and inelastic collisions.
Open calculator »Inward force keeping an object moving in a circle.
Open calculator »Spring stiffness from force and extension, plus elastic energy.
Open calculator »Rate of doing work or transferring energy.
Open calculator »Rotational inertia for spheres, cylinders, rods and hoops.
Open calculator »Impulse from force and time, equal to change in momentum.
Open calculator »Ideal banking angle or speed for a curve.
Open calculator »The force-for-distance trade of a lever, pulley or ramp — MA, IMA and efficiency.
Open calculator »Modulus of elasticity from stress and strain — E = stress/strain.
Open calculator »Power divided by mass — the key performance ratio for engines and vehicles.
Open calculator »The deflecting force felt in a rotating frame such as the spinning Earth.
Open calculator »Convert torque between newton-metres and foot-pounds, both ways.
Open calculator »Convert a value between any two SI prefixes, quetta to quecto, or straight to the coherent SI unit.
Open calculator »Minimum speed to break free of a body’s gravity.
Open calculator »How much you would weigh on the Moon, Mars and every planet.
Open calculator »Gravitational attraction between two masses.
Open calculator »Links an orbit period to its size — weigh stars and design orbits.
Open calculator »Mass packed into a given volume — solves for density, mass or volume.
Open calculator »Archimedes’ upward force on a submerged object.
Open calculator »Hydraulic-press force multiplication — F1/A1 = F2/A2, with pressure and mechanical advantage.
Open calculator »Pressure, speed and height trade-off along a streamline.
Open calculator »Pressure as force over area, plus fluid pressure with depth.
Open calculator »Maximum fall speed when drag balances gravity.
Open calculator »Aerodynamic drag (air resistance) on a moving object.
Open calculator »Push force of a hydraulic or pneumatic cylinder from pressure and bore.
Open calculator »Convert between kinematic (cSt) and dynamic (cP) viscosity via density.
Open calculator »Darcy friction factor for pipe flow — laminar 64/Re and turbulent Colebrook.
Open calculator »Open-channel flow rate from roughness, area, hydraulic radius and slope.
Open calculator »Swing time of a simple pendulum — independent of mass.
Open calculator »Angular frequency, period and peak speed of an oscillator.
Open calculator »The resonant frequency of an air cavity with a neck — a bottle, a port, a muffler.
Open calculator »The fundamental wave relationship.
Open calculator »Frequency shift from a moving source or observer.
Open calculator »Bright-fringe angles from a grating; highest visible order.
Open calculator »Sound level in decibels from intensity.
Open calculator »How light bends crossing between media; critical angle & TIR.
Open calculator »Transmitted intensity of polarized light through an analyzer.
Open calculator »Thin-lens and mirror equation with magnification.
Open calculator »Index of refraction from the speed of light in a medium.
Open calculator »The four state variables of an ideal gas.
Open calculator »Volume-temperature ratio of a gas at constant pressure.
Open calculator »Pressure-volume product of a gas at constant temperature.
Open calculator »How materials grow when heated.
Open calculator »Heat energy to change a material temperature, Q = mcΔT.
Open calculator »Energy for a phase change, Q = mL.
Open calculator »Maximum efficiency of a heat engine between two temperatures.
Open calculator »Power radiated by a black body, P = σAεT^4.
Open calculator »Steady-state heat-conduction rate through a slab, Q/t = kAΔT/d.
Open calculator »Pressure-temperature ratio of a gas at constant volume.
Open calculator »Peak wavelength of black-body radiation, λmax = b/T.
Open calculator »Density of an ideal gas from its pressure, molar mass and temperature.
Open calculator »Heat released or absorbed by a reaction from moles and molar enthalpy.
Open calculator »Entropy change for reversible heat transfer at constant temperature.
Open calculator »Arrhenius activation energy from two rate constants at two temperatures.
Open calculator »Energy and time to heat water, from q = mcΔT.
Open calculator »Wet-bulb temperature from air temperature and relative humidity.
Open calculator »Voltage, current, resistance and power in a circuit.
Open calculator »Current as the rate of charge flow, I = Q/t, with the electron count.
Open calculator »Potential difference as energy per unit charge, V = W/Q.
Open calculator »Wire resistance from material resistivity and geometry, R = ρL/A.
Open calculator »Solves the two-loop circuit for all three branch currents.
Open calculator »Convert between peak, peak-to-peak and RMS voltage, plus AC power.
Open calculator »Electrostatic force between two point charges.
Open calculator »Total resistance of resistors wired in series or parallel.
Open calculator »Running cost of an appliance from wattage, hours and rate.
Open calculator »Electric field strength around a point charge.
Open calculator »Capacitance from charge and voltage, plus stored energy.
Open calculator »Lorentz force on a moving charge in a magnetic field.
Open calculator »Magnetic field inside a solenoid, B = μ0nI.
Open calculator »Induced EMF from a changing magnetic flux, ε = −N ΔΦ/Δt.
Open calculator »Charging time constant of an RC circuit, τ = RC.
Open calculator »The -3 dB corner frequency of an RC filter.
Open calculator »Einstein’s mass–energy equivalence — the energy locked inside a mass.
Open calculator »Time for a radioactive quantity to fall to half its value.
Open calculator »Matter wavelength of a moving particle, λ = h/mv.
Open calculator »Energy of one quantum of light from its frequency.
Open calculator »Relativistic time dilation at high speed.
Open calculator »Maximum kinetic energy of photoelectrons, KE = hf − φ.
Open calculator »The relativistic factor γ that stretches time and contracts length.
Open calculator »Convert accelerating voltage to electronvolts and joules, E = qV.
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