Torque(τ)=Force(F)×Distance(r)×sin(θ)

Where:

  • τ is the torque or moment of force,
  • F is the force applied,
  • r is the distance from the axis of rotation to the point where the force is applied,
  • θ is the angle between the force vector and the line connecting the axis of rotation to the point where the force is applied.

Real Life Examples

  1. Turning a Wrench:
    • Force Applied: The force applied when turning a wrench.
    • Axis of Rotation: The center of the bolt or nut being tightened.
    • Description: The torque applied to the wrench determines how effectively it can turn the bolt.
  2. Opening a Door:
    • Force Applied: The force exerted on the door handle.
    • Axis of Rotation: Door hinges.
    • Description: The torque applied to the door determines how easily it opens or closes.
  3. Lug Nut Tightening:
    • Force Applied: The force applied when tightening or loosening a lug nut on a car tire.
    • Axis of Rotation: Center of the lug nut.
    • Description: The torque applied ensures the proper fastening of the lug nut.
  4. Twisting a Screwdriver:
    • Force Applied: The force applied to the handle of the screwdriver.
    • Axis of Rotation: The point where the screwdriver contacts the screw.
    • Description: The torque applied determines how effectively the screwdriver can turn the screw.
  5. Using a Can Opener:
    • Force Applied: The force exerted on the can opener handle.
    • Axis of Rotation: The pivot point of the can opener.
    • Description: The torque applied to the can opener determines its ability to cut through the can.

Further Reading