Cycles To Seconds Calculator

Convert cycles to seconds from frequency in Hz, kHz, MHz or RPM, find the period of one cycle (50 Hz = 0.02 s), or solve for cycles or frequency.

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Calculator Functions

Function	What it does	What it requires
Elapsed time in seconds	Converts a number of cycles into the time they take at a steady frequency	Requires the number of cycles and the cycle frequency in Hz, kHz, MHz, GHz or RPM
Number of cycles	Finds how many cycles fit into a length of time at a steady frequency	Requires the cycle frequency and the elapsed time in s, ms, µs, ns, min or h
Cycle frequency	Finds the frequency from a count of cycles and the time they took	Requires the number of cycles and the elapsed time

The number of cycles starts at 1, so entering only a frequency gives the time for one cycle, which is the period. Every result also shows the period, the time in milliseconds, microseconds, minutes and hours, and the frequency in Hz, kHz, MHz and RPM.

Cycles to Seconds Formulas

A frequency in another unit is converted to hertz first: 1 kHz = 1,000 Hz, 1 MHz = 1,000,000 Hz, 1 GHz = 1,000,000,000 Hz and 1 RPM = 1 ÷ 60 Hz, counting one cycle per revolution.

Elapsed time in seconds

The cycle count is divided by the frequency. On 60 Hz power, 1 cycle lasts 1 ÷ 60 = 0.0167 seconds and 20 cycles last 0.3333 seconds. On 50 Hz power, 1 cycle lasts 0.02 seconds. For a 2.5 GHz clock, 500 cycles take 0.0000002 seconds.

Number of cycles

At 60 Hz, half a second holds 60 × 0.5 = 30 cycles, and one second holds 60. At 50 Hz, one second holds 50.

Cycle frequency

5 cycles in 0.5 seconds is 10 Hz. Both the cycle count and the time must be greater than zero.

Hz to Seconds

The period T is the time for one complete cycle, and it is the reciprocal of the frequency [2]. 50 Hz is 0.02 seconds per cycle and 60 Hz is 0.0167 seconds per cycle. A frequency below 1 Hz takes longer than a second per cycle: 0.5 Hz is 2 seconds.

Frequency	Seconds per cycle
0.05 Hz	20
0.1 Hz	10
0.2 Hz	5
0.5 Hz	2
1 Hz	1
5 Hz	0.2
10 Hz	0.1
50 Hz	0.02
60 Hz	0.016667
100 Hz	0.01
1 kHz	0.001

Cycles to Seconds Chart

Cycles	Seconds at 60 Hz	Seconds at 50 Hz
1	0.016667	0.02
2	0.033333	0.04
3	0.05	0.06
5	0.083333	0.1
10	0.166667	0.2
20	0.333333	0.4
30	0.5	0.6
60	1	1.2

Limits of This Estimate

• The frequency is assumed to stay constant for the whole interval. A signal that drifts, or a processor that changes its clock speed, will not match the result.
• RPM counts one cycle per revolution. For a machine with several events per revolution, enter the event frequency instead.
• Processor clock cycles are not instructions. Stalls and instructions that take several cycles mean a cycle count does not give a simple run time.

Sources