Linear Acceleration Calculator

Formula

The formula to calculate the Linear Acceleration (AL) is:

\[ \text{AL} = \text{aa} \times \text{r} \]

Where:

\(\text{AL}\) is the linear acceleration (m/s²)
\(\text{aa}\) is the angular acceleration (rad/s²)
\(\text{r}\) is the radius (meters)

Linear Acceleration Definition

Linear acceleration is the rate of change of velocity of an object moving along a straight path. It is calculated by multiplying the angular acceleration by the radius of the circular path.

Units for Linear Acceleration

In the International System of Units (SI), the units for linear acceleration are meters per second squared (m/s²).

Example Calculation

Let's assume the following values:

Angular Acceleration (aa) = 5 rad/s²
Radius (r) = 2 meters

Using the formula:

\[ \text{AL} = 5 \times 2 = 10 \text{ m/s²} \]

The Linear Acceleration (AL) is 10 m/s².