Converting between radians per second (rad/s) and hertz (Hz) is essential in fields like physics and engineering, as it allows for the translation between angular velocity and frequency. The relationship between these units is defined by the formula: f(Hz) = ω(rad/s) / 2π. This means that one hertz is equivalent to 2π radians per second, or approximately 6.2832 rad/s. Conversely, one radian per second equals approximately 0.1592 Hz. For example, an angular velocity of 300 rad/s corresponds to a frequency of about 47.75 Hz. Understanding this conversion is crucial for accurately analyzing rotational systems and wave phenomena.