Physics

Instant, private, and free

Frequency Calculator.

Calculate frequency and angular frequency from a period.

On-device calculationNo signup
01

Set your values

Results update as you type.

Frequency: 100 Hz

Frequency

0.000000Hz
Angular frequency: 628.318531 rad/s

Angular frequency

0.000000rad/s

Results update automatically as you type.

Use Cases

Physics homework and exam prep

Quickly convert a given period into frequency and angular frequency for problems involving waves, oscillations, or circular motion.

Example: A pendulum has a period of 2 s. Frequency = 0.5 Hz, angular frequency ≈ 3.14 rad/s.

Engineering design and signal analysis

Determine the frequency and angular frequency of periodic signals or mechanical vibrations from their period.

Example: A vibration period of 0.01 s corresponds to 100 Hz and 628.3 rad/s.

Frequently Asked Questions

How do I calculate frequency from a period?
Frequency is the reciprocal of the period. If the period is T seconds, then frequency f = 1/T. For example, a period of 0.5 s gives a frequency of 2 Hz.
What is angular frequency and how is it calculated?
Angular frequency (ω) measures how quickly an object oscillates in radians per second. It is calculated as ω = 2π / T, where T is the period in seconds. For a period of 1 s, ω ≈ 6.283 rad/s.
What units are used for frequency and angular frequency?
Frequency is measured in hertz (Hz), which is cycles per second. Angular frequency is measured in radians per second (rad/s). Both are derived from the period input in seconds.

Tips & Common Mistakes

Tips

  • Ensure the period is entered in seconds. If you have a period in milliseconds, convert to seconds by dividing by 1000 before entering.
  • Frequency and angular frequency are inversely proportional to the period: shorter periods yield higher frequencies.
  • Use the angular frequency when working with equations involving sine and cosine functions, as it simplifies the math.
  • Double-check your period value: a small error in the period can lead to a large error in frequency, especially for short periods.

Common Mistakes to Avoid

  • Forgetting to convert the period to seconds when it is given in milliseconds or microseconds.
  • Confusing frequency (Hz) with angular frequency (rad/s) – they differ by a factor of 2π.
  • Entering the period as a fraction incorrectly, such as typing 1/2 instead of 0.5, which may cause calculation errors.

Last updated: August 13, 2026