Enter the frequency, the displacement, and the time into the calculator to determine the Sine Acceleration.

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## Sine Acceleration Formula

The following equation is used to calculate the Sine Acceleration.

**a = -2*pi*f^2*D*sin(2*pi*f*t)**

- Where a is the Sine Acceleration (m/s^2)
- f is the frequency (hz)
- D is the displacement (m)
- t is the time (s)

## What are the units for Sine Acceleration?

The most common units for Sine Acceleration are m/s^2.

## How to Calculate Sine Acceleration?

Example Problem:

The following example problem outlines the steps and information needed to calculate the Sine Acceleration.

First, determine the frequency. In this example, the frequency is determined to be 500 (hz).

Next, determine the displacement. For this problem, the displacement is measured to be 3 (m).

Next, determine the time. In this case, the time is found to be 30 (s).

Finally, calculate the Sine Acceleration using the formula above:

**a = -2*pi*f^2*D*sin(2*pi*f*t)**

Inserting the values from above and solving the equation with the imputed values gives:

**a = -2*3.14159*500^2*3*sin(2*3.1415*500*30) =1668802.81 **(m/s^2)