CPS Calculator
Convert between all major frequency units: CPS, Hertz, kHz, MHz, GHz, RPM, radians per second, and BPM. Includes period and wavelength calculations.
Enter the frequency value (non-negative)
What is CPS (Cycles per Second)?
CPS stands for Cycles per Second and is the original name for Hertz (Hz). It measures the frequency of a repeating event, representing how many complete cycles occur in one second. The term "cycles per second" was replaced by "hertz" in 1960 by the International System of Units (SI) in honor of Heinrich Hertz, who proved the existence of electromagnetic waves. 1 CPS = 1 Hz exactly. Today, CPS is still sometimes used in audio engineering and older technical documentation.
How do I convert RPM to Hz?
To convert Revolutions Per Minute (RPM) to Hertz (Hz), divide the RPM by 60. Formula: Hz = RPM ÷ 60. Examples: 60 RPM = 1 Hz (exactly 1 revolution per second), 1200 RPM = 20 Hz, 3600 RPM = 60 Hz (typical US power grid frequency), 5000 RPM (car engine at idle) ≈ 83.33 Hz. For the reverse (Hz to RPM), multiply by 60: 50 Hz = 3000 RPM (European power grid), 60 Hz = 3600 RPM.
What is the difference between radians per second and Hz?
Radians per second (rad/s) and Hertz (Hz) both measure angular frequency but differ by a factor of 2π. 1 revolution = 2π radians. Hz measures complete cycles per second. rad/s measures angular displacement per second. Conversion: rad/s = Hz × 2π. Examples: 1 Hz = 6.283 rad/s, 60 Hz (power grid) = 376.99 rad/s, 10 Hz = 62.83 rad/s. Hz is used for frequency, rad/s is used in physics for angular velocity calculations involving centripetal force and rotational motion.
What is BPM and how does it relate to Hz?
BPM (Beats Per Minute) is a frequency unit used primarily in music to measure tempo. To convert BPM to Hz: divide by 60 (Hz = BPM ÷ 60). Examples: 120 BPM (common pop/rock tempo) = 2 Hz, 60 BPM (slow waltz) = 1 Hz, 140 BPM (uptempo dance) ≈ 2.33 Hz. BPM directly equals beats per minute, while Hz equals cycles (beats) per second. This converter helps musicians and audio engineers relate musical tempo to scientific frequency measurements.