Hertz to Cycles per Second Conversion (Hz to cps)

Hertz to Cycles per Second Converter

Enter the frequency in hertz below to convert it to cycles per second.

Result in Cycles per Second:

1 Hz = 1 cps

How to Convert Hertz to Cycles per Second

To convert a measurement in hertz to a measurement in cycles per second, divide the frequency by the following conversion ratio: 1 hertz/cycle per second.

Since one cycle per second is equal to 1 hertz, you can use this simple formula to convert:

cycles per second = hertz ÷ 1

The frequency in cycles per second is equal to the frequency in hertz divided by 1.

For example, here's how to convert 5 hertz to cycles per second using the formula above.

cycles per second = (5 Hz ÷ 1) = 5 cps

How Many Cycles per Second Are in a Hertz?

There are 1 cycle per second in a hertz, which is why we use this value in the formula above.

1 Hz = 1 cps

Hertz and cycles per second are both units used to measure frequency. Keep reading to learn more about each unit of measure.

What Is a Hertz?

One hertz is formally defined as the frequency of one cycle per second.^[1]

The hertz is the SI derived unit for frequency in the metric system. Hertz can be abbreviated as Hz; for example, 1 hertz can be written as 1 Hz.

Frequency in hertz can be expressed using the formula:

Hz = Cycles / Time in Seconds

Learn more about hertz.

What Are Cycles per Second?

Cycles per second are a measure of the number of oscillations, or cycles, that occur per second.

Cycles per second can be abbreviated as cps, and are also sometimes abbreviated as c/s or cycles/second. For example, 1 cycle per second can be written as 1 cps, 1 c/s, or 1 cycles/second.

Cycles per second can be expressed using the formula: cps = Cycles / Time_s

Learn more about cycles per second.

Hertz to Cycle per Second Conversion Table

Table showing various hertz measurements converted to cycles per second.
Hertz	Cycles Per Second
1 Hz	1 cps
2 Hz	2 cps
3 Hz	3 cps
4 Hz	4 cps
5 Hz	5 cps
6 Hz	6 cps
7 Hz	7 cps
8 Hz	8 cps
9 Hz	9 cps
10 Hz	10 cps
11 Hz	11 cps
12 Hz	12 cps
13 Hz	13 cps
14 Hz	14 cps
15 Hz	15 cps
16 Hz	16 cps
17 Hz	17 cps
18 Hz	18 cps
19 Hz	19 cps
20 Hz	20 cps
21 Hz	21 cps
22 Hz	22 cps
23 Hz	23 cps
24 Hz	24 cps
25 Hz	25 cps
26 Hz	26 cps
27 Hz	27 cps
28 Hz	28 cps
29 Hz	29 cps
30 Hz	30 cps
31 Hz	31 cps
32 Hz	32 cps
33 Hz	33 cps
34 Hz	34 cps
35 Hz	35 cps
36 Hz	36 cps
37 Hz	37 cps
38 Hz	38 cps
39 Hz	39 cps
40 Hz	40 cps

Table showing various hertz measurements converted to cycles per second.

Hertz

Cycles Per Second

1 Hz

1 cps

2 Hz

2 cps

3 Hz

3 cps

4 Hz

4 cps

5 Hz

5 cps

6 Hz

6 cps

7 Hz

7 cps

8 Hz

8 cps

9 Hz

9 cps

10 Hz

10 cps

11 Hz

11 cps

12 Hz

12 cps

13 Hz

13 cps

14 Hz

14 cps

15 Hz

15 cps

16 Hz

16 cps

17 Hz

17 cps

18 Hz

18 cps

19 Hz

19 cps

20 Hz

20 cps

21 Hz

21 cps

22 Hz

22 cps

23 Hz

23 cps

24 Hz

24 cps

25 Hz

25 cps

26 Hz

26 cps

27 Hz

27 cps

28 Hz

28 cps

29 Hz

29 cps

30 Hz

30 cps

31 Hz

31 cps

32 Hz

32 cps

33 Hz

33 cps

34 Hz

34 cps

35 Hz

35 cps

36 Hz

36 cps

37 Hz

37 cps

38 Hz

38 cps

39 Hz

39 cps

40 Hz

40 cps

References

National Institute of Standards and Technology, SI Units - Time, https://www.nist.gov/pml/owm/si-units-time