Angular Acceleration Calculator

Formulas

The formulas to calculate the angular acceleration are:

\[ \alpha = \frac{\omega_2 - \omega_1}{t} \]

\[ \alpha = \frac{a}{R} \]

Where:

\( \alpha \) is the Angular Acceleration (rad/s²)
\( \omega_1 \) is the Initial Angular Velocity (rad/s)
\( \omega_2 \) is the Final Angular Velocity (rad/s)
\( t \) is the Time (s)
\( a \) is the Tangential Acceleration (m/s²)
\( R \) is the Radius (m)

What is Angular Acceleration?

Angular acceleration is the rate of change of angular velocity in an object that is undergoing circular motion. It can be calculated from the change in angular velocity over time or from the tangential acceleration and radius of rotation.

Example Calculation

Let's assume the following values:

Initial Angular Velocity (ω₁): 10 rad/s
Final Angular Velocity (ω₂): 20 rad/s
Time (t): 5 s

Using the formula to calculate the angular acceleration:

\[ \alpha = \frac{20 - 10}{5} = 2 \text{ rad/s²} \]

The angular acceleration is 2 rad/s².