Difference between revisions of "Angular Frequency"
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==Key Stage 5== | ==Key Stage 5== | ||
===Meaning=== | ===Meaning=== | ||
| − | [[Angular Frequency|Angular frequency]] is the rate of change of [[Angular Displacement|angular displacement]], often used in oscillatory systems. | + | [[Angular Frequency|Angular frequency]] is the rate of change of [[Angular Displacement|angular displacement]] with respect to [[time]], often used in oscillatory systems. |
===About Angular Frequency=== | ===About Angular Frequency=== | ||
Latest revision as of 18:58, 19 May 2024
Key Stage 5
Meaning
Angular frequency is the rate of change of angular displacement with respect to time, often used in oscillatory systems.
About Angular Frequency
- Angular frequency is given by the symbol 'ω' (a lower case Omega in the Greek Alphabet).
- Measured in radians per second (rad/s).
- Relates to the frequency of oscillation (f) by the formula ω = 2πf.
- Indicates how quickly an object moves through its circular path.
- Angular frequency is used to describe the motion of objects in periodic motion, such as pendulums and springs.
- Angular frequency is an important concept in the analysis of wave motion and simple harmonic motion (SHM).
- Angular frequency is also used in alternating current circuits to describe the oscillations of voltage and current.
Formula
ω = 2πf
Where:
ω is the angular frequency.
f is the frequency of oscillations.
Examples
- The angular frequency of a pendulum can be calculated from its period.
- In alternating current (AC), angular frequency relates to the electrical frequency.