Physics

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Angular Frequency Calculator.

Convert frequency to angular frequency and period.

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Set your values

Results update as you type.

angularFrequency: 376.991118

angularFrequency

376.991118
period: 0.016667

period

0.016667

Use Cases

Physics homework and exam prep

Quickly convert frequency to angular frequency and period for problems involving simple harmonic motion, waves, or AC circuits.

Example: Given a frequency of 60 Hz, find ω and T.

Engineering design calculations

Use in mechanical or electrical engineering to determine angular frequency and period for rotating machinery or signal processing.

Example: For a motor running at 120 Hz, calculate ω and T.

Frequently Asked Questions

What is angular frequency and how is it calculated?
Angular frequency (ω) measures how quickly an object rotates or oscillates, in radians per second. It is calculated as ω = 2π × frequency. For example, if frequency is 50 Hz, angular frequency is about 314.16 rad/s.
How do I find the period from frequency?
The period (T) is the time for one complete cycle, and it is the reciprocal of frequency: T = 1 / frequency. For a frequency of 10 Hz, the period is 0.1 seconds.
What units does this calculator use?
This calculator takes frequency in hertz (Hz). It outputs angular frequency in radians per second (rad/s) and period in seconds (s).

Tips & Common Mistakes

Tips

  • Enter frequency in hertz (Hz) only. If you have frequency in kHz or MHz, convert to Hz first (1 kHz = 1000 Hz).
  • Remember that angular frequency is in radians per second, not degrees per second. One full cycle is 2π radians.
  • The period is the inverse of frequency, so a higher frequency results in a shorter period.
  • Use this calculator for any periodic motion, such as pendulums, springs, or sound waves.

Common Mistakes to Avoid

  • Forgetting to convert frequency to Hz before entering, leading to incorrect angular frequency and period.
  • Confusing angular frequency (rad/s) with regular frequency (Hz). They are related by ω = 2πf.
  • Using degrees instead of radians when interpreting angular frequency results.

Last updated: August 13, 2026