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A sine wave has a frequency of 60 Hz. Its angular frequency is:
1. 120 π rad/s
2. 30 π rad/s
3. 60 π rad/s
4. 120/π rad/s

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Correct Answer - Option 1 : 120 π rad/s

CONCEPT:

  • Frequency (f): The number of waves that pass a given point per second is called frequency.
    • The unit of frequency is vibration per second or Hertz.
  • Time period (T): The time taken to complete one full oscillation or cycle by the Wave is called time period.

    • The SI unit of the time period is second (s).

The relationship between time period and frequency is given as:

Time period (T) = 1/f

CALCULATION:

Frequency (f) = 60 Hz

Angular frequency (ω) = 2πf = 2π × 60 = 120 π rad/s

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