Linear to Angular Acceleration Calculator

Formula

The formula to calculate the Angular Acceleration is:

\[ \text{A} = \frac{\text{LA}}{\text{r}} \]

Where:

\(\text{A}\) is the Angular Acceleration (rad/s²)
\(\text{LA}\) is the Linear Acceleration (m/s²)
\(\text{r}\) is the Radius (m)

What is Angular Acceleration?

Angular Acceleration (A) is the rate of change of angular velocity. It is calculated by dividing the linear acceleration by the radius. The most common units for Angular Acceleration are rad/s².

Example Calculation

Let's consider an example:

Linear Acceleration (LA): 10 m/s²
Radius (r): 2 m

Using the formula to calculate the Angular Acceleration:

\[ \text{A} = \frac{10}{2} = 5 \text{ rad/s²} \]

This means that the Angular Acceleration (A) is 5 rad/s².