Magnitude of Torque Calculator

The Magnitude of Torque Calculator calculates the torque produced by a force acting at a given distance from a pivot point, taking into account the direction of the force. The formula used is:

Tm=F∗r∗sin(a)

Where:

• $Tm$ represents the magnitude of torque in Newton-meters (N·m).
• $F$ is the total force applied in Newtons (N).
• $r$ denotes the radius or distance from the pivot point to the point where the force is applied in meters (m).
• $a$ is the angle between the force vector and the lever arm (radius) in radians.

This formula accounts for the fact that torque depends not only on the force and distance from the pivot point, but also on the angle at which the force is applied. The sine of the angle ensures that the torque is maximized when the force is applied perpendicular to the radius.

The calculator provides a convenient way to compute the magnitude of torque for various scenarios, useful in fields such as physics, engineering, and mechanics.