Mechanics Calculator

  • Centripetal Force Calculator
    Calculate centripetal force from mass, velocity, and radius using F = mvĀ²/r. Get force in newtons and centripetal acceleration instantly.
  • Circular Motion Calculator
    Calculate tangential speed, centripetal acceleration, and angular velocity for uniform circular motion from radius and period of revolution.
  • Centrifugal Force Calculator
    Calculate centrifugal force from mass, tangential velocity and radius using F = mvĀ²/r. Also returns angular velocity and centripetal acceleration.
  • Angular Frequency Calculator
    Calculate angular frequency (Ļ‰) in rad/s from frequency or period using Ļ‰ = 2Ļ€f = 2Ļ€/T. Free, instant physics calculator with worked examples.
  • Angular Momentum Calculator
    Calculate angular momentum (L = I Ɨ Ļ‰) from moment of inertia and angular velocity. Free physics calculator with the formula, worked example, and FAQ.
  • Angular Displacement Calculator
    Calculate angular displacement (Īø) from initial angular velocity, angular acceleration and time using Īø = Ļ‰įµ¢t + Ā½Ī±tĀ². Get radians, degrees and revolutions.
  • Angular Acceleration Calculator
    Calculate angular acceleration (Ī±) from the change in angular velocity over time. Enter initial and final angular velocity and time to get rad/sĀ².
  • Recoil Energy Calculator
    Calculate firearm free recoil energy (ftĀ·lb) and recoil velocity from gun weight, bullet weight, velocity, and powder charge using conservation of momentum.
  • Work and Power Calculator
    Calculate mechanical work (W = FĀ·d) and power (P = W/t) from force, distance, and time. Free physics calculator with results in joules and watts.
  • Work Calculator
    Calculate mechanical work (joules) from force, distance, and angle using W = FĀ·dĀ·cos(Īø). Free physics work-energy calculator with steps.
  • Impact Energy Calculator
    Calculate impact energy in joules from a falling object's mass and height (E=mgh) or a moving object's mass and speed (E=Ā½mvĀ²).
  • Pressure Calculator
    Calculate pressure from force and area using P = F / A. Get results in pascals, kilopascals, bar, and psi instantly with this free physics calculator.
  • Reduced Mass Calculator
    Calculate the reduced mass of a two-body system instantly using Ī¼ = (mā‚Ā·mā‚‚)/(mā‚+mā‚‚). Enter two masses to get the effective reduced mass.
  • Tension Calculator
    Calculate the tension force in a rope or cable holding a mass, with optional vertical acceleration. Uses T = m(g + a). Free physics tool.
  • Pounds per Square Inch (PSI) Calculator
    Calculate pressure in pounds per square inch (PSI) from force and area using P = F / A. Fast, accurate, free online PSI calculator.
  • Moment of Inertia Calculator
    Calculate the moment of inertia for a solid disk, solid sphere, thin rod, or rectangular area using standard physics and engineering formulas.
  • Rotational Speed (Angular & Tangential Velocity) from Centrifugal Force
    Compute rotational speed (rps, rad/s) and tangential velocity (m/s, km/h) from mass, radius, and centrifugal force using F = mĀ·Ļ‰Ā²Ā·r. Free physics calculator.
  • Escape Velocity from a Planet and the Solar System Calculator
    Compute escape velocity from a planet, the Sun, the Moon or an asteroid surface, plus the speed to escape the Solar System from its orbit. Pick a preset or enter values.
  • Tidal Force of the Moon and Sun Calculator
    Compute the gravitational and tidal (differential) force the Moon and Sun exert on Earth per unit mass, plus ratios to the Moon's tidal force at perigee.
  • Forced Oscillation Displacement Calculator
    Compute the steady-state displacement, amplitude and phase lag of a driven damped harmonic oscillator subjected to a sinusoidal force.
  • Free Fall Energy and Velocity Calculator
    Calculate the kinetic energy (J and kWh) and impact velocity of an object falling freely from rest through a given drop height, with editable gravity.
  • Special Relativity Energy Calculator
    Compute rest energy E0 = m0c^2, total relativistic energy E = gamma*m0c^2, the Lorentz factor (energy ratio E/E0), and v/c from rest mass and velocity.
  • Centrifugal Force and Tangential Velocity Calculator
    Compute centrifugal force (N and kgf) and tangential velocity (m/s and km/h) for an object rotating in a circle from its mass, radius, and rotation speed.
  • Turbo Size Calculator
    Estimate the airflow (lb/min) your turbo must move for a target horsepower using BSFC and AFR. Quickly size a turbocharger for your engine build.

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