How to Calculate Linear Force From Torque

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The linear force acting on an object is directly proportional to the torque turning it. The larger the force, and the further it acts from the object's axis, the greater the resultant torque. A wrench, for instance, lets you turn a nut with a lot of torque because it acts as a rotational arm, distancing the applied force from the axis. Heavy-duty wrenches are especially long, creating an even larger torque. Calculate the linear force necessary to generate torque from the length of this rotational arm.

  • Determine the length of the lever arm. When you turn a wrench, for instance, the lever arm runs from the point where you apply force to the nut.

  • Divide the length in inches by 39.37 to convert it to meters. With a lever arm length, for instance, of 14 inches: 14 / 39.37 = 0.3556 meters.

  • Divide your target torque by this length. If you need to produce, for instance, 140 newton meters of torque: 140 / 0.3556 = approximately 394 newtons of linear force.

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