What is the angular frequency, ω, if f = 60 Hz?Group of answer choices60 rad/s9.55 rad/s73.7 rad/s377 rad/s
Question
What is the angular frequency, , if Hz?
Group of answer choices
- 60 rad/s
- 9.55 rad/s
- 73.7 rad/s
- 377 rad/s
Solution
The angular frequency (ω) can be calculated using the formula:
ω = 2πf
where:
- ω is the angular frequency,
- π is a mathematical constant whose approximate value is 3.14159,
- f is the frequency.
Given that f = 60 Hz, we can substitute this value into the formula:
ω = 2π(60 Hz)
This gives:
ω = 120π rad/s
The value of π is approximately 3.14159, so:
ω = 120 * 3.14159 rad/s
Therefore, ω ≈ 377 rad/s.
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