To calculate the Sine Acceleration:
\[ a = -2\pi f^2 D \sin(2\pi f t) \]
Where:
Sine acceleration refers to the acceleration experienced by an object in harmonic motion, characterized by a sinusoidal displacement over time. It is typically measured in meters per second squared (m/s2), reflecting how quickly the velocity of the object changes in response to the sinusoidal displacement.
Let's assume the following values:
Using the formula:
\[ a = -2 \times \pi \times 5^2 \times 0.1 \times \sin(2 \times \pi \times 5 \times 2) \]
The sine acceleration is -49.47 m/s2.
Let's assume the following values:
Using the formula:
\[ a = -2 \times \pi \times 10^2 \times 0.05 \times \sin(2 \times \pi \times 10 \times 1) \]
The sine acceleration is -197.39 m/s2.
