Calculadora de Frequência Angular

This angular frequency calculator converts a common frequency (in hertz) to angular frequency (in radians per second). Angular frequency, denoted by the Greek letter ω, measures the rate of angular change in oscillatory or rotational motion. It is widely used in physics, engineering, and technical fields to describe phenomena such as waves, electrical circuits, and periodic movements.

The calculation is straightforward: ω = 2π × f, where f is the frequency in hertz (cycles per second) and 2π is the conversion factor to radians. This is because one complete cycle corresponds to an angle of 2π radians. For example, a frequency of 60 Hz gives ω ≈ 376.99 rad/s. The tool provides instant results, with rounding options for greater precision.

You can use this calculator in various situations: when studying simple harmonic motion, analyzing alternating current circuits, designing control systems, or calculating angular velocities in rotating machinery. It is useful both for students checking exercises and for professionals needing quick and reliable conversions.

Be careful: angular frequency should not be confused with ordinary frequency. While frequency f indicates how many oscillations occur per second, ω indicates how many radians are traversed per second. Also, ensure the input unit is hertz; if in other units, convert before using.