Converting hertz (Hz) to radians per second (rad/s) is essential in fields like physics and engineering, as it facilitates the analysis of rotational and oscillatory systems. The relationship between these units is defined by the formula: ω (rad/s) = 2π × f (Hz). This means that one hertz is equivalent to approximately 6.2832 radians per second. For example, a frequency of 5 Hz corresponds to an angular velocity of 31.416 rad/s. Conversely, to convert radians per second back to hertz, the formula f (Hz) = ω (rad/s) / 2π is used. Understanding this conversion is crucial for accurately describing the angular speed of rotating objects and analyzing waveforms in various scientific and engineering applications.