Mechanics Calculator

  • Resultant Velocity Calculator
    Calculate the resultant velocity magnitude and direction from x and y velocity components using v=√(vx²+vy²) and θ=atan2(vy,vx).
  • Polar Moment of Inertia Calculator
    Calculate the polar moment of inertia (J) of a solid or hollow circular shaft from its diameters using J=πd⁴/32 and π(D⁴−d⁴)/32.
  • Projectile Range Calculator
    Calculate the horizontal range, maximum height, and time of flight of a projectile from its launch velocity and angle using R = v²·sin(2θ)/g.
  • Muzzle Velocity Calculator
    Calculate muzzle velocity from kinetic energy and projectile mass using v=√(2·KE/m). Get speed in m/s and ft/s instantly.
  • Inclined Plane Calculator
    Calculate acceleration, parallel force, normal force and friction on an inclined plane from mass, angle, friction coefficient and gravity.
  • Momentum Calculator
    Calculate linear momentum from mass and velocity using p = m·v. Enter mass in kg and velocity in m/s to get momentum in kg·m/s instantly.
  • Impulse and Momentum Calculator
    Calculate impulse, change in momentum, and average force from mass, initial and final velocity, and time using J = F·Δt = Δp = m(v−u).
  • Horizontal Projectile Motion Calculator
    Calculate time of flight, horizontal range, and impact velocity for an object launched horizontally from a height. Free physics projectile motion tool.
  • Magnitude of Acceleration Calculator
    Calculate the magnitude of acceleration from its x, y, and z components using |a|=√(ax²+ay²+az²). Free vector acceleration calculator.
  • Conservation of Momentum Calculator
    Solve the conservation of momentum equation m1·u1 + m2·u2 = m1·v1 + m2·v2 to find the final velocity of object 2 in a collision.
  • Ballistic Coefficient Calculator
    Calculate a bullet's ballistic coefficient (BC) from mass, diameter, and form factor. Enter grains and inches to get BC and sectional density instantly.
  • Torque Calculator
    Calculate torque (moment of force) from force, lever arm length, and angle using τ = r·F·sin(θ). Free online physics torque calculator in N·m.
  • Simple Harmonic Motion Calculator
    Calculate displacement, velocity, acceleration, angular frequency and period for simple harmonic motion using x(t)=A·cos(ωt+φ).
  • Simple Pendulum Calculator
    Calculate the period and frequency of a simple pendulum from its length and gravity using T = 2π√(L/g). Free physics calculator.
  • Rotational Stiffness Calculator
    Calculate rotational (torsional) stiffness k = T / θ from applied torque and angular deflection. Free engineering calculator in N·m/radian.
  • Rotational Kinetic Energy Calculator
    Calculate rotational kinetic energy from moment of inertia and angular velocity using KE = ½Iω². Fast, accurate physics tool with worked example.
  • Mass Moment of Inertia Calculator
    Calculate the mass moment of inertia (I = k·m·r²) for cylinders, spheres, hoops and rods using shape factors. Enter mass and radius for instant results.
  • Kinetic Energy of a Pendulum Calculator
    Calculate the kinetic energy of a simple pendulum at any angle from its release point using KE = m·g·L·(cos θ − cos θ₀). Free physics tool.
  • Harmonic Wave Equation Calculator
    Compute the displacement of a traveling harmonic wave y(x,t)=A·sin(kx−ωt+φ) plus wavelength, frequency, period and wave speed instantly.
  • 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 = 2π√(I/mgd).
  • Frequency Calculator
    Calculate frequency from period (f = 1/T) or from wave speed and wavelength (f = v/λ). 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 = 2mvΩ·sin(latitude).
  • Damping Ratio Calculator
    Calculate the damping ratio (ζ) of a mass-spring-damper system from damping coefficient, stiffness, and mass, with critical damping and natural frequency.

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