Mechanics Calculator

  • Spindle Speed Calculator
    Calculate spindle speed (RPM) from cutting speed and tool diameter for milling, turning and drilling. Supports metric (m/min) and imperial (SFM) units.
  • Simple Harmonic Motion Calculator
    Calculate displacement, velocity, acceleration, angular frequency and period for simple harmonic motion using x(t)=AĀ·cos(Ļ‰t+Ļ†).
  • Taper Calculator
    Calculate machining taper per unit length, taper percent, and the included and half taper angles from large diameter, small diameter, and length.
  • Torque Calculator
    Calculate torque (moment of force) from force, lever arm length, and angle using Ļ„ = rĀ·FĀ·sin(Īø). Free online physics torque calculator in NĀ·m.
  • Simple Pendulum Calculator
    Calculate the period and frequency of a simple pendulum from its length and gravity using T = 2Ļ€āˆš(L/g). Free physics calculator.
  • Rotational Stiffness Calculator
    Calculate rotational (torsional) stiffness k = T / Īø from applied torque and angular deflection. Free engineering calculator in NĀ·m/radian.
  • Rotational Kinetic Energy Calculator
    Calculate rotational kinetic energy from moment of inertia and angular velocity using KE = Ā½IĻ‰Ā². Fast, accurate physics tool with worked example.
  • Mass Moment of Inertia Calculator
    Calculate the mass moment of inertia (I = kĀ·mĀ·rĀ²) for cylinders, spheres, hoops and rods using shape factors. Enter mass and radius for instant results.
  • Harmonic Wave Equation Calculator
    Compute the displacement of a traveling harmonic wave y(x,t)=AĀ·sin(kxāˆ’Ļ‰t+Ļ†) plus wavelength, frequency, period and wave speed instantly.
  • Boat Speed Calculator
    Calculate a displacement boat's maximum hull speed from its waterline length using the classic 1.34 Ɨ āˆšLWL formula. Get results in knots, mph and km/h.
  • Kinetic Energy of a Pendulum Calculator
    Calculate the kinetic energy of a simple pendulum at any angle from its release point using KE = mĀ·gĀ·LĀ·(cos Īø āˆ’ cos Īøā‚€). Free physics tool.
  • Flywheel Energy Storage Calculator
    Calculate the kinetic energy stored in a flywheel from its moment of inertia and RPM. Results in joules, watt-hours and kWh. Free physics tool.
  • Physical Pendulum Calculator
    Calculate the period and frequency of a physical (rigid-body) pendulum from its moment of inertia, mass, pivot distance, and gravity using T = 2Ļ€āˆš(I/mgd).
  • Damping Ratio Calculator
    Calculate the damping ratio (Ī¶) of a mass-spring-damper system from damping coefficient, stiffness, and mass, with critical damping and natural frequency.
  • Frequency Calculator
    Calculate frequency from period (f = 1/T) or from wave speed and wavelength (f = v/Ī»). Get period and angular frequency too. Free online tool.
  • Coriolis Effect Calculator
    Calculate the Coriolis force on a moving mass from its velocity, latitude, and planetary angular velocity using F = 2mvĪ©Ā·sin(latitude).
  • Circular Motion Calculator
    Calculate tangential speed, centripetal acceleration, and angular velocity for uniform circular motion from radius and period of revolution.
  • Centripetal Force Calculator
    Calculate centripetal force from mass, velocity, and radius using F = mvĀ²/r. Get force in newtons and centripetal acceleration instantly.
  • Centrifugal Force Calculator
    Calculate centrifugal force from mass, tangential velocity and radius using F = mvĀ²/r. Also returns angular velocity and centripetal acceleration.
  • 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.
  • 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 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.

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