Difference between revisions of "Angular Frequency"
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===About Angular Frequency=== | ===About Angular Frequency=== | ||
| − | + | *[[Angular Frequency|Angular frequency]] is given by the symbol '[[Angular Freuquency|ω]]' | |
*[[Measure]]d in [[radian]]s per [[second]] (rad/s). | *[[Measure]]d in [[radian]]s per [[second]] (rad/s). | ||
*Relates to the [[frequency]] of [[oscillation]] (f) by the formula ω = 2πf. | *Relates to the [[frequency]] of [[oscillation]] (f) by the formula ω = 2πf. | ||
*Indicates how quickly an [[object]] moves through its circular path. | *Indicates how quickly an [[object]] moves through its circular path. | ||
| + | |||
| + | ===Formula=== | ||
| + | ω = 2πf | ||
| + | |||
| + | Where: | ||
| + | |||
| + | ω is the [[Angular Frequency|angular frequency]]. | ||
| + | |||
| + | f is the frequency of [[oscillation]]s. | ||
| + | |||
===Examples=== | ===Examples=== | ||
*The [[Angular Frequency|angular frequency]] of a pendulum can be calculated from its period. | *The [[Angular Frequency|angular frequency]] of a pendulum can be calculated from its period. | ||
*In [[Alternating Current|alternating current]] ([[Alternating Current|AC]]), [[Angular Frequency|angular frequency]] relates to the electrical [[frequency]]. | *In [[Alternating Current|alternating current]] ([[Alternating Current|AC]]), [[Angular Frequency|angular frequency]] relates to the electrical [[frequency]]. | ||
Revision as of 09:20, 19 May 2024
Key Stage 5
Meaning
Angular frequency is the rate of change of angular displacement, often used in oscillatory systems.
About Angular Frequency
- Angular frequency is given by the symbol 'ω'
- 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.
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.