Angular Frequency Equation for Dampened Harmonics
Reference from the original Physics I textbook.
- Angular Frequency Equation for Dampened Harmonics
ω′ = damped angular frequency (rad/s); m = mass (kg); b = damping constant (kg/s); k = spring constant (N/m). This real-frequency expression applies only when b² < 4mk (underdamping).
- Related Glossary Terms
- Index
Reviewed physics notes (1)
These corrections keep the original lesson’s purpose while fixing errors in the source edition.
- The oscillatory frequency is real only in the underdamped regime. — Reference 1
Glossary and deeper reading · 2 refreshers
These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.
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Angular frequency
Angular frequency measures how rapidly the phase of a sinusoidal oscillation advances. It equals two pi times the ordinary frequency and is measured in radians per second. For example, two oscillators at the same ordinary frequency also have the same angular frequency even if their amplitudes differ.
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Damping
Damping is a process that transfers energy out of an oscillation and reduces its amplitude over time. The motion can remain oscillatory or approach equilibrium without oscillating, depending on the damping strength. For example, an oscillator moving through a viscous liquid loses mechanical energy to the liquid.