Oscillation Calculator
Calculate frequency, period, angular frequency, and amplitude for simple harmonic motion.
Oscillation Parameters
Simple Harmonic Motion Formulas
Simple harmonic motion (SHM) is a fundamental type of oscillation where the restoring force is proportional to the displacement.
Key Relationships:
- Frequency (f): f = 1 / T = ω / (2π)
- Period (T): T = 1 / f = (2π) / ω
- Angular Frequency (ω): ω = 2πf = 2π / T
Amplitude (A) is an independent parameter describing the maximum displacement from equilibrium.
Oscillation Examples
| System | Frequency | Period | Angular Frequency |
|---|---|---|---|
| Pendulum (1m) | ~0.5 Hz | ~2 s | ~3.14 rad/s |
| Mass on Spring (k=100N/m, m=1kg) | ~1.59 Hz | ~0.63 s | ~10 rad/s |
| AC Power (US) | 60 Hz | 0.0167 s | 377 rad/s |
Frequently Asked Questions
What is oscillation?
Oscillation is the repetitive variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states. Examples include a swinging pendulum or a vibrating string.
What is simple harmonic motion (SHM)?
Simple harmonic motion (SHM) is a special type of periodic motion where the restoring force is directly proportional to the displacement and acts in the direction opposite to that of displacement. It is often used to model oscillations in many physical systems, such as a mass on a spring or a simple pendulum.
What are frequency, period, and amplitude in oscillation?
Frequency (f) is the number of oscillations per unit time (Hz). Period (T) is the time taken for one complete oscillation (seconds), and T = 1/f. Amplitude is the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position.