Angular Torque Calculator

Formula

The formula to calculate the Angular Torque (Ta) is:

\[ Ta = m \cdot r^2 \cdot \alpha \]

Where:

\( Ta \) is the Angular Torque (N-m).
\( m \) is the Mass (kg).
\( r \) is the Radius (m).
\( \alpha \) is the Angular Acceleration (rad/s²).

What is Angular Torque?

Angular torque is the amount of torque required to rotate an object at a certain angular acceleration. It is calculated by multiplying the mass of the object by the square of the radius and then by the angular acceleration.

Example Calculation

Consider an example where:

Mass (m): 10 kg
Radius (r): 2 m
Angular Acceleration (α): 5 rad/s²

Using the formula to calculate the Angular Torque:

\[ Ta = 10 \cdot 2^2 \cdot 5 = 200 \text{ N-m} \]

This means that the angular torque for this example is 200 N-m.