Angular Frequency Calculator

Free calculate the rate of rotation or oscillation in radians per second from frequency or period. Get instant, accurate results with our easy-to-use calculator.

Input Parameters

Enter frequency in hertz (cycles per second)

Time for one complete cycle

Results

Enter frequency or period to calculate angular frequency

Angular Frequency Formula

Formula

ω = 2πf

or

ω = 2π/T

Where:

  • • ω = angular frequency (rad/s)
  • • f = frequency (Hz)
  • • T = period (s)
  • • π ≈ 3.14159

Common Frequencies

  • • AC Power (US): 60 Hz = 377 rad/s
  • • AC Power (EU): 50 Hz = 314 rad/s
  • • Middle C: 261.6 Hz = 1644 rad/s
  • • Heartbeat: ~1.2 Hz = 7.5 rad/s
  • • Earth rotation: 7.27×10⁻⁵ rad/s

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