Enter the torque in Newton-meters and the radius in inches into the calculator to convert the torque to pressure in pounds per square inch (Psi).

Nm to Psi Conversion Formula

The following formula is used to convert torque (Nm) to pressure (Psi).

Psi = (Torque * 8.85074579) / (π * Radius^2)

Variables:

  • Psi is the pressure in pounds per square inch
  • Torque is the force in Newton-meters
  • Radius is the distance from the center of rotation to the point of force application in inches

To convert Nm to Psi, multiply the torque value by 8.85074579 and divide the result by the product of π times the square of the radius in inches.

What is Torque?

Torque is a measure of the force that can cause an object to rotate about an axis. It is a vector quantity, meaning it has both magnitude and direction. Torque is typically measured in Newton-meters (Nm) in the metric system or foot-pounds (ft-lbs) in the imperial system.

What is Psi?

Psi stands for pounds per square inch and is a unit of pressure commonly used in the United States. It measures the amount of force applied over a one square inch area.

How to Calculate Pressure from Torque?

The following steps outline how to calculate the pressure in Psi from torque in Nm.


  1. First, determine the torque applied (in Nm).
  2. Next, determine the radius (in inches) from the center of rotation to the point where the force is applied.
  3. Use the conversion formula: Psi = (Torque * 8.85074579) / (π * Radius^2).
  4. Finally, calculate the pressure in Psi.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem :

Use the following variables as an example problem to test your knowledge.

Torque (Nm) = 50 Nm

Radius (inches) = 2 inches