Mechanics online calculator

Online calculators and formulas for Mechanics calculations

Gear Ratio (i = n₁/n₂)
Transmission ratios in gear systems with speed transfer
Belt Length
Calculate belt lengths for belt drives and transmission systems
Pulley System (F = F_load/n)
Calculate force, load and mechanical advantage in pulley systems
Hydraulic Cylinder (F = p·A)
Calculate cylinder force, pressure, piston diameter and oil volume
Worm Gear (i = z₂/z₁)
Calculate gear ratio, torque, efficiency and lead angle
Rack & Pinion (F = 2M·η/d)
Calculate feed force, velocity, torque and pitch diameter
Chain Drive (L = (z₁+z₂)/2 + 2a/p)
Calculate chain length, gear ratio, power and torque
Screw (h = p·n)
Calculate travel distance, pitch, rotations, torque and force
Brakes (Mb = μ·N·r)
Calculate braking torque, deceleration, stopping distance and friction coefficient
Clutch (M = μ·N·z·rm)
Calculate torque, friction surfaces, slip work and multi-plate clutch
Pneumatic Cylinder (F = p·A)
Calculate piston force, pressure, diameter, flow rate and air consumption
V-Belt (v = π·d·n)
Calculate belt speed, power, tension, gear ratio and belt length
Eddy-Current Brake (F = k·B²·v)
Calculate braking force, torque, magnetic field, power and deceleration
Roller Drive (F = μ·N)
Calculate friction force, normal force, power, torque and drive force
Drum Winder (L = π·d·n)
Calculate rope length, winding layers, rope speed and torque
Lever (F₁·L₁ = F₂·L₂)
Calculate force, arm lengths, mechanical advantage and travel
Inclined Plane (F = m·g·(sinα+μ·cosα))
Calculate driving force, friction, self-locking and efficiency for ramps

Power Converters

kW - hp converter
Conversion between kilowatts and horsepower
PS - hp converter
Conversion between metric horsepower (PS) and imperial horsepower (HP)

About Physics

Physics is the science of nature and describes the fundamental laws of the universe. Physical calculations form the foundation for:

  • Mechanical Engineering - Force calculations
  • Electrical Engineering - Energy conversion
  • Automotive Engineering - Motion analysis
  • Civil Engineering - Statics
  • Aerospace - Aerodynamics
  • Medical Technology - Biomechanics
Fundamental Physical Laws
Newton's Laws
F = ma
F₁₂ = -F₂₁
Energy Conservation
E_kin + E_pot = const
W = ΔE
Thermodynamics
ΔU = Q - W
PV = nRT
Wave Physics
v = fλ
n₁sin θ₁ = n₂sin θ₂
Tip: Use dimensional analysis to verify your calculations. Force has dimension [MLT⁻²], energy [ML²T⁻²], and power [ML²T⁻³].

Practical Application Examples

Mechanical Engineering
  • Force calculation: Component design
  • Gears: Transmission ratios
  • Efficiency: Performance optimization
Automotive Engineering
  • Acceleration: Engine power
  • Braking distance: Safety calculations
  • Fuel consumption: Energy efficiency
Civil Engineering
  • Statics: Structural calculations
  • Dynamics: Vibration analysis
  • Material testing: Strength analysis
Energy Technology
  • Heat engines: Efficiency
  • Wind power: Power calculation
  • Solar technology: Energy yield
Quick Reference
F = ma
Force
E = ½mv²
Energy
v = s/t
Speed
P = W/t
Power
p = F/A
Pressure