Amplitude to Acceleration Calculator

Formula

The formula to calculate the Acceleration from Amplitude (A) is:

\[ A = \frac{2 \cdot \pi \cdot F^2 \cdot \text{AMP}}{g} \]

Where:

\(A\) is the acceleration from amplitude (m/s²)
\(F\) is the frequency (Hz)
\(\text{AMP}\) is the amplitude (m)
\(g\) is the acceleration due to gravity (9.81 m/s²)

Acceleration from Amplitude Definition

Acceleration from amplitude refers to the acceleration experienced by an object undergoing oscillatory motion, calculated based on the amplitude of the motion and the frequency of oscillation. It is expressed in meters per second squared (m/s²).

Example Calculation

Let's assume the following values:

Frequency (F) = 5 Hz
Amplitude (AMP) = 0.1 m

Using the formula:

\[ A = \frac{2 \cdot \pi \cdot 5^2 \cdot 0.1}{9.81} = \frac{2 \cdot 3.14159 \cdot 25 \cdot 0.1}{9.81} \approx 1.60 \text{ m/s²} \]

The Acceleration (A) is approximately 1.60 m/s².