Mechanics Calculator

  • Thermal Diffusivity Calculator
    Calculate thermal diffusivity (α) from thermal conductivity, density, and specific heat using α = k / (ρ × cp). Results in m²/s and mm²/s.
  • Nusselt Number Calculator
    Calculate the Nusselt number (Nu = hL/k) from the convective heat transfer coefficient, characteristic length, and thermal conductivity in seconds.
  • Heat Transfer Calculator (Conduction)
    Calculate conductive heat transfer through a wall or slab using Q = k·A·ΔT·t/d. Get heat rate (W) and total heat energy (J and kJ) instantly.
  • Isentropic Flow Calculator
    Compute isentropic stagnation-to-static temperature, pressure and density ratios from Mach number and the specific heat ratio (γ) for compressible flow.
  • Heat Transfer Coefficient Calculator
    Calculate the convective heat transfer coefficient h = Q/(A·ΔT) from heat rate, surface area, and temperature difference. Free, instant, in W/(m²·K).
  • Efficiency Calculator
    Free efficiency calculator: find energy efficiency as a percentage from useful output energy divided by input energy. Fast, accurate, with worked example.
  • Coefficient of Performance (COP) Calculator
    Calculate the coefficient of performance (COP) of a heat pump, refrigerator or AC using heat and work, or the ideal Carnot COP from reservoir temperatures.
  • Effectiveness-NTU Calculator
    Compute NTU, capacity ratio, and counterflow heat-exchanger effectiveness from UA, Cmin and Cmax with the ε-NTU method.
  • Carnot Efficiency Calculator
    Calculate the Carnot efficiency of a heat engine from its hot and cold reservoir temperatures (in Kelvin) using η = 1 − Tc/Th.
  • Biot Number Calculator
    Calculate the Biot number (Bi = h·Lc/k) from convective coefficient, characteristic length and thermal conductivity to check lumped capacitance validity.
  • Thermal Expansion Calculator
    Calculate linear thermal expansion (ΔL) and final length using ΔL = α·L₀·ΔT. Enter original length, expansion coefficient, and temperature change.
  • Pendulum Period Calculator
    Calculate the period of a simple pendulum from its length and gravity using T = 2π√(L/g). Get swing time in seconds and frequency in Hz.
  • Pendulum Frequency Calculator
    Calculate the oscillation frequency of a simple pendulum from its length and gravity. Get frequency (Hz), period, and angular frequency instantly.
  • G Force Calculator
    Convert acceleration (m/s²) into G-force using standard gravity (9.80665 m/s²). Fast, free G-force calculator with the formula and worked examples.
  • Gear Ratio RPM Calculator
    Calculate output RPM from input speed and gear ratio. Enter motor/engine RPM and the gear ratio to find the resulting shaft speed instantly.
  • Friction Coefficient Calculator
    Calculate the coefficient of friction (μ) from friction force and normal force using μ = F / N. Fast, free physics calculator for static and kinetic friction.
  • Friction Force Calculator
    Calculate friction force from the coefficient of friction and normal force using F = μN. Free physics calculator with formula and worked example.
  • Buoyant Force Calculator
    Calculate buoyant force from fluid density, displaced volume, and gravity using Archimedes' principle (Fb = ρgV). Free, instant, with worked example.
  • Acceleration due to Gravity Calculator
    Calculate gravitational acceleration g from the mass of a body and distance to its center using Newton's law g = G·M/r². Free physics tool.
  • Pneumatic Cylinder Force Calculator
    Calculate pneumatic cylinder push and pull force from air pressure and bore diameter. Supports bar, psi and kPa with rod-area retract force.
  • Projectile Motion Trajectory Calculator
    Compute projectile trajectory without air resistance: height and distance over time, plus time of flight, maximum height and range from initial speed and launch angle.
  • Lift Coefficient Calculator
    Calculate the lift coefficient (CL) from lift force, air density, velocity and wing area using CL = 2L / (ρ·v²·A). Free aerodynamics tool.
  • Magnus Force Calculator
    Calculate the Magnus force on a spinning ball from air density, velocity, ball radius and lift coefficient using F = ½·ρ·v²·A·CL.
  • Electric Motor Torque Calculator
    Calculate electric motor torque in N·m and lb·ft from power (kW) and speed (RPM) using T = P / (2πN/60). Free, instant, and accurate.

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