Oscillation Energy Calculator

Formula

The formula to calculate the Oscillation Energy (E) is:

\[ E = 0.5 \times m \times \omega^2 \times A^2 \]

Where:

Oscillation Energy (E): The energy stored in a system undergoing oscillatory motion.
Mass (m): The mass of the oscillating object in kilograms.
Angular Frequency (ω): The rate of oscillation in radians per second.
Amplitude (A): The maximum displacement from the equilibrium position in meters.
Significance: Helps describe the behavior of dynamic systems such as pendulums and springs.

Let's say the mass (m) is 2 kg, the angular frequency (ω) is 3 rad/s, and the amplitude (A) is 0.5 m. Using the formula:

\[ E = 0.5 \times 2 \times 3^2 \times 0.5^2 = 0.5 \times 2 \times 9 \times 0.25 = 2.25 \]

So, the Oscillation Energy (E) is 2.25 J.