Torque Calculator

Formula

The formula to calculate Torque (τ) is:

\[ \tau = r \cdot F \cdot \sin(\theta) \]

Where:

\(\tau\) is the torque (Nm)
\(r\) is the radius (m)
\(F\) is the force (N)
\(\theta\) is the angle between the force and the lever arm (degrees)

Torque Definition

Torque is a force that is applied along a radius that causes an object to rotate. Force, just like velocity, is a vector quantity meaning it has a magnitude and direction. With that said, the direction of the torque is often ignored in some calculations, especially in your introductory physics classes.

Example Calculation

Let's assume the following values:

Radius (r) = 2 m
Force (F) = 50 N
Angle (θ) = 30 degrees

Using the formula to calculate Torque:

\[ \tau = 2 \cdot 50 \cdot \sin(30) = 50 \text{ Nm} \]

The Torque is 50 Nm.