Torque Calculator

Calculate torque using force, distance from pivot, and angle between force and lever arm.

Torque Calculator

Calculate torque using the formula: τ = r × F × sin(θ)

Where: τ = torque, r = distance from pivot, F = force, θ = angle between force and lever arm

Enter the angle between the force vector and the lever arm (0-180°)

Important Notes:

  • • Torque is maximum when the angle is 90° (sin(90°) = 1)
  • • Torque is zero when the angle is 0° or 180° (sin(0°) = sin(180°) = 0)
  • • Positive torque causes counterclockwise rotation
  • • Negative torque causes clockwise rotation

About Torque Calculator

Our Torque Calculator helps you determine the rotational force (torque) applied to an object. Torque is a measure of the tendency of a force to rotate an object about an axis.

Torque Formula:

τ = r × F × sin(θ)

Where: τ = torque, r = distance from pivot, F = force, θ = angle between force and lever arm

Key Concepts:

  • Torque: A measure of rotational force, measured in Newton-meters (N⋅m)
  • Lever Arm: The perpendicular distance from the pivot point to the line of action of the force
  • Maximum Torque: Occurs when the angle is 90° (force is perpendicular to lever arm)
  • Zero Torque: Occurs when the angle is 0° or 180° (force is parallel to lever arm)

Applications:

  • Mechanical engineering and machine design
  • Automotive systems (engines, transmissions)
  • Construction and structural analysis
  • Physics education and research
  • Robotics and automation