Mechanics Calculator

  • Angular Displacement Calculator
    Calculate angular displacement (θ) from initial angular velocity, angular acceleration and time using θ = ωᵢt + ½αt². Get radians, degrees and revolutions.
  • Angle of Twist Calculator
    Calculate the angle of twist of a shaft under torsion using φ = TL/(JG). Enter torque, length, polar moment of inertia, and shear modulus.
  • Angular Frequency Calculator
    Calculate angular frequency (ω) in rad/s from frequency or period using ω = 2πf = 2π/T. Free, instant physics calculator with worked examples.
  • Angular Momentum Calculator
    Calculate angular momentum (L = I × ω) from moment of inertia and angular velocity. Free physics calculator with the formula, worked example, and FAQ.
  • 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.
  • Angular Velocity to RPM Calculator
    Convert angular velocity in radians per second (rad/s) to rotational speed in RPM instantly using RPM = ω × 60 / (2π). Fast, accurate, free.
  • Angular Velocity Unit Converter
    Convert angular velocity between degrees, radians and revolutions per second, minute, hour and day. Enter one value and get all 12 units instantly.
  • Angular to Linear Velocity Calculator
    Convert angular velocity to linear (tangential) velocity using v = ω·r. Enter angular velocity in rad/s and radius in meters to get speed in m/s.
  • Atwood Machine Calculator
    Calculate the acceleration and cord tension of an Atwood machine from two masses and gravity. Fast, accurate physics calculator with worked example.
  • 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.
  • Force Unit Conversion Calculator
    Convert force between dyne, newton, kilogram-force, pound-force, ton-force and poundal instantly. Universal physics tool using exact SI/CGS/imperial constants.
  • Engine Horsepower Calculator
    Calculate engine horsepower from torque (lb-ft) and RPM using HP = (Torque × RPM) / 5252. Fast, accurate, and free for any engine.
  • Projectile Motion with Height Difference (Target Height & Distance)
    Compute the minimum-speed projectile launch parameters (initial speed, angle, flight time) to hit a target at a given height h and horizontal distance l. No air resistance.
  • Projectile Motion with Launch Height (Speed & Angle)
    Compute time of flight, maximum height, and horizontal range for a projectile launched from a height above (or below) the landing plane, given speed and angle.
  • Projectile Motion from Angle and Range Calculator
    Find the initial speed, time of flight, and peak height needed to reach a target range at a given launch angle. Ideal (no air resistance) projectile model.
  • Projectile from Launch Speed and Flight Time
    Compute launch angle, maximum height, and horizontal range of a projectile from its initial speed and total flight time (no air resistance).
  • Projectile Motion from Peak Height and Range Calculator
    Find the launch speed, launch angle and flight time of a projectile from its peak height and horizontal range, with no air resistance and level ground.
  • Projectile Motion Calculator (from Launch Angle and Apex Height)
    Compute the initial launch speed, time of flight, and horizontal range of a projectile from its launch angle and maximum (apex) height. No air resistance.
  • Projectile Motion Calculator (from Initial Velocity and Launch Angle)
    Compute flight time, maximum height, and horizontal range of a projectile from its initial velocity and launch angle, ignoring air resistance.
  • Free Fall Calculator
    Free fall calculator: enter a fall distance and gravity to find the elapsed time and impact speed (m/s and km/h). Assumes vacuum, no air resistance.
  • Free Fall Calculator: Time and Distance from Velocity
    Compute free-fall elapsed time and fall distance needed for an object dropped from rest to reach a target speed. Supports m/s, km/h and custom gravity.
  • Free Fall Distance and Velocity from Time Calculator
    Compute free-fall distance and velocity after a given time for an object dropped from rest in a vacuum. Adjustable gravity for Moon, Mars or any body.
  • Travelers' Meeting Time Calculator
    Find how long until two people walking toward each other meet. Enter distance and both speeds in m, km, m/min, m/s, km/h and more. Free and instant.

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