Fundamental Torque Calculator

Calculate torque from force and perpendicular lever arm radius.

LIVE INPUTS

Enter engineering parameters

Results update immediately. Select the unit used for each input before reviewing the result.

CALCULATION INPUTS

LIVE 2D EXPLANATION

100 N·mPerpendicular force: 250 Nforcelever arm
T = F × rThe geometry, arrow and label respond to the current calculation state.

PRIMARY RESULT

Torque100N·m
Calculation basisRotational Mechanics
Input unit basisN
Live calculation ready for review

This is an educational or preliminary result. Apply relevant standards and engineering judgement before use.

ENGINEERING PRINCIPLE

Torque is the turning effect of a force about an axis.

Calculate torque from force and perpendicular lever arm radius.

FORMULA & VARIABLES

T = F × r

  • T = torque (N·m)
  • F = perpendicular force (N)
  • r = lever arm radius (m)

CALCULATION STEPS

How this result is assembled

  1. Convert the entered values to the SI basis required by the formula.
  2. Apply T = F × r using the current inputs.
  3. Present the result as 100 N·m and review the stated assumptions.

FORMULA VERIFICATION

Units, scope and reference

Reference: NIST SP 811 for unit relationships; standard classical mechanics and strength-of-materials derivations for the stated scalar relation.

Internal basis: All inputs are converted to the calculator’s SI base before the formula is evaluated.

Valid conditions: Positive finite scalar input values in the current calculator model.

Limitations: The force is perpendicular to the lever arm. For an angled load, use its perpendicular component.

ASSUMPTIONS

Use this result in context

  • The force is perpendicular to the lever arm.
  • For an angled load, use its perpendicular component.

Results must be verified by a qualified engineer and checked against applicable engineering standards, material properties, loading conditions and design requirements.

RELATED CALCULATIONS

Keep exploring

OPTIONAL ENGINEERING HELP

Ask AI about this calculation

Use the engineering assistant for a formula explanation, calculator selection or help identifying missing parameters. Numerical work should use a validated calculator.

Open AI Assistant →