# cps Calculator

Table of contents

How to use the cps calculatorFrequency unitsHow do I convert cycles per second to hertz?How do I convert cycles per second to radians per second?How do I convert cps to degrees per second?FAQsThe cps calculator will quickly help you convert any value in **cycles per second (cps)** to other units of frequency, including:

- Ordinary frequency units: hertz (Hz), kilohertz (kHz), megahertz (MHz), cycles per minute (cpm); and
- Angular frequency units: revolutions per minute (RPM), radians per second (rad/s), and degrees per second (°/s).

Scroll down and learn in no time how easy it is to convert between hertz and cycles per second!

## How to use the cps calculator

With the cps calculator, you can instantly convert any value of frequency from **cps (cycles per second)** to other frequency units like **hertz (Hz), radians per second (rad/s),** **revolutions per minute (RPM)** and more. To use the cps calculator:

- In the first row, type in the frequency value in cps that you wish to convert to other frequency units.
- The calculator will show the results in the rows below!

*Would you like to learn more about RPM and how to calculate them? Check our RPM calculator!*

## Frequency units

Frequency is a parameter that measures the repetitiveness of a given event. In sciences, it's often used as one of the main parameters to describe a wave's oscillatory nature (sound, vibration, light).

Since 1960, the SI unit to measure linear frequencies is **hertz (Hz)**, named after the German physicist Heinrich Hertz, and it represents the number of times an event repeats in one second. Previously, frequencies were measured in **cycles per second (cps),** from where other units derive: **cpm (cycles per minute)** and **cpy (cycles per year).**

For rotatory motions, the **angular frequency** is used instead (you can learn more with our angular frequency calculator). This one is also known as a rotational or angular speed (ω). It's expressed in angular frequency units, e.g., as **revolutions per minute (RPM)** or as **radians or degrees per second (rad/s or °/s, respectively).**

In the table below, you can find the equivalence between some of the different ordinary frequency and angular frequency units:

cps | Hz | rad/s | °/s |
---|---|---|---|

0.5 | 0.5 | π (3.1416) | 180 |

1 | 1 | 2π (6.283) | 360 |

1.5 | 1.5 | 3π (9.425) | 540 |

2 | 2 | 4π (12.566) | 720 |

2.5 | 2.5 | 5π (15.708) | 900 |

3 | 3 | 6π (18.85) | 1080 |

4 | 4 | 8π (25.133) | 1440 |

5 | 5 | 10π (31.416) | 1800 |

6 | 6 | 12π (37.7) | 2160 |

7 | 7 | 14π (43.98) | 2520 |

8 | 8 | 16π (50.27) | 2880 |

9 | 9 | 18π (56.55) | 3240 |

10 | 10 | 20π (62.83) | 3600 |

🙋 Check the frequency calculator for an in-depth explanation of this subject.

## How do I convert cycles per second to hertz?

To convert any frequency value from **cps (cycles per second) to Hz (hertz)**, you just need to know that the **number of hertz is precisely the same as that of cps.** This means that if you'd like to know how many hertz is `4 cps`

, you'll find that it's exactly ` 4 Hz`

.

## How do I convert cycles per second to radians per second?

To go from a frequency value in **cps (cycles per second)** to **radians per second (rad/s):**

- Use the conversion factor of:

`1 cps = 2π rad/s = 6.283 rad/s`

. **Multiply**your value in cps by the conversion factor.- As an example, to convert four cycles per second to radians per second:

`4 cps × (2π rad/s/cps) = 8π rad/s = 25.133 rad/s`

## How do I convert cps to degrees per second?

In order to convert a frequency value from **cps (cycles per second)** to **degrees per second (°/s):**

- Use the equivalence between these frequency units:

`1 cps = 360 °/s`

. - Multiply your value in cps by the conversion factor.
- For example, to convert four cycles per second to degrees per second:

`4 cps × (360 °/s/cps) = 1440 °/s`

### How many hertz are in one cycle per second?

**1 Hz.** Every cycle per second (cps) is equivalent to 1 hertz (Hz). This means that every hertz represents a single cycle per second, **1 cps = 1 Hz.**

### How many cycles per second are in 1 kilohertz?

**1,000 cycles per second (cps).** There is one cycle per second (cps) in one hertz (Hz) (1 cps = 1 Hz). Therefore, 1,000 hertz (or 1 kHz) is 1,000 cps.

### How many cycles per second are 60 Hz?

**60 cycles per second (cps).** Every cycle per second (cps) is equivalent to one hertz (Hz), **1 cps = 1 Hz.** With this equivalence in mind, we get that 60 Hz = 60 cps.