Newton Meter Calculator
Instantly convert newton meter with our free converter. See conversion tables, formulas, and step-by-step explanations.
Reviewed by Manoj Kumar, Mathematics Educator
Formula
Torque (Nm) = Force (N) x Distance (m) x sin(angle)
Torque equals force multiplied by the perpendicular distance from the pivot point. When force is not applied at 90 degrees, multiply by the sine of the angle between the force and lever arm. At 90 degrees, sin(90) = 1 so torque is simply force times distance.
Worked Examples
Example 1: Torque from a Wrench
Problem:A mechanic applies 200 N of force at the end of a 0.3 m wrench at 90 degrees. What torque is produced?
Solution:Torque = Force x Distance x sin(angle)\nTorque = 200 x 0.3 x sin(90)\nTorque = 200 x 0.3 x 1 = 60.0000 Nm\nft-lbs = 60 / 1.35582 = 44.2537 ft-lbs
Result:200 N at 0.3 m = 60.0000 Nm = 44.2537 ft-lbs
Example 2: Angled Force Application
Problem:A force of 150 N is applied at 0.4 m from the pivot at a 60-degree angle. Calculate the torque.
Solution:Torque = Force x Distance x sin(angle)\nTorque = 150 x 0.4 x sin(60)\nTorque = 150 x 0.4 x 0.8660 = 51.9615 Nm\nft-lbs = 51.9615 / 1.35582 = 38.3268 ft-lbs
Result:150 N at 0.4 m (60 deg) = 51.9615 Nm
Frequently Asked Questions
What is a newton-meter and how is torque calculated?
A newton-meter (Nm) is the SI unit of torque, representing the rotational force produced when one newton of force is applied at a perpendicular distance of one meter from the pivot point. Torque is calculated as force times distance times the sine of the angle between the force vector and the lever arm. When force is applied perpendicular to the lever (90 degrees), sine equals 1 and torque is simply force times distance. At other angles, the effective torque is reduced by the sine factor.
How do newton-meters relate to watts and power?
While newton-meters measure torque (a static quantity), combining torque with rotational speed gives power. Power in watts equals torque in newton-meters multiplied by angular velocity in radians per second. In automotive contexts, the formula is often written as horsepower equals torque (in Nm) times RPM divided by 5252 (when using ft-lbs) or divided by 9549 (when using Nm). This relationship explains why an engine can produce high torque at low RPM yet still have modest horsepower output.
What is the difference between newton-meters of torque and newton-meters of energy?
Both torque and energy have the same dimensional units (force times distance), but they represent different physical quantities. Torque is a rotational force measured about a pivot point and is a vector quantity. Energy (or work) is a scalar quantity representing force applied through a linear distance. The joule (J) is the SI unit of energy and equals one newton-meter of work, but in practice the unit Nm is reserved for torque while J is used for energy to avoid confusion between these distinct concepts.
References
Reviewed by Manoj Kumar, Mathematics Educator · Editorial policy