What is the angular frequency (ω) defined as in relation to frequency (ν)?
Understand the Problem
The question is asking for the definition of angular frequency in relation to standard frequency. It seeks to clarify the mathematical relationship between the two concepts, which are important in physics, particularly in wave mechanics and oscillations.
Answer
ω = 2πν
The angular frequency (ω) is defined as ω = 2πν, where ν is the frequency.
Answer for screen readers
The angular frequency (ω) is defined as ω = 2πν, where ν is the frequency.
More Information
Angular frequency is a measure of how fast an object rotates or oscillates in a circular path, measured in radians per second.
Tips
A common mistake is not converting frequencies correctly between radians per second and cycles per second.
Sources
- Angular frequency (ω) - Wikipedia - en.wikipedia.org
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