Torque Calculator

Calculate torque from force and moment arm, derive shaft torque from motor power and RPM, convert torque to power output, and check torsional shear stress in shafts.

T = F × rT = P × 9,550 / NShaft StressMetric & Imperial

Torque Calculations

T = F × r × sin(θ) — Calculate turning moment from force and lever arm

Distance from pivot point to force application

90° = force perpendicular to arm (maximum torque)

Standard Motor Sizes (kW)

0.75 kW
1.1 kW
1.5 kW
2.2 kW
3 kW
4 kW
5.5 kW
7.5 kW
11 kW
15 kW
18.5 kW
22 kW
30 kW
37 kW
45 kW
55 kW
75 kW
90 kW

IEC standard motor sizes (SANS/IEC 60034)

Torque Calculator: Engineering Guide

Our torque calculator covers four essential engineering calculations: torque from applied force and moment arm, shaft torque from motor power and RPM, power output from known torque, and torsional shear stress in rotating shafts. These are daily calculations for mechanical engineers in manufacturing, mining, and process industries.

Key Calculations

  • Torque from force and perpendicular distance
  • Shaft torque from motor power and RPM
  • Motor power from torque and speed
  • Torsional shear stress in solid shafts
  • Unit conversions: N·m, kN·m, ft·lb, in·lb

Applications

  • Motor and gearbox selection
  • Conveyor drive system design
  • Coupling and shaft sizing
  • Pump and compressor drives
  • Crane and hoist systems
  • Fastener and bolt tightening

Torque Formulas Reference

Torque from Force

T = F × r × sin(θ)

F = Force (N), r = arm (m), θ = angle

Torque from Power (Metric)

T = (P × 9,550) / N

P in kW, N in RPM → T in N·m

Torque from Power (Imperial)

T = (HP × 5,252) / RPM

HP = horsepower → T in ft·lb

Power from Torque

P = T × N / 9,550

T in N·m, N in RPM → P in kW

Torsional Shear Stress

τ = 16T / (π × D³)

T in N·mm, D in mm → τ in MPa

Unit Conversions

1 N·m = 0.7376 ft·lb 1 ft·lb = 1.356 N·m 1 kgf·m = 9.807 N·m

Metric ↔ Imperial conversion

Shaft Material Shear Strength Guide

MaterialTensile Strength (MPa)Shear Yield Strength (MPa)Notes
Mild steel (EN3B)430–570120–160General shafting
Medium carbon (EN8)700–850200–250Good strength shafts
Alloy steel (EN19)850–1,000250–300High-duty shafts
Stainless 304520100–130Corrosion resistant
Aluminium 6061-T631080–100Light weight
Cast iron20080–120Brittle — avoid torsion

Frequently Asked Questions

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