T = 1 / f = 1 / 60 = 0.0166667 s
Frequency ↔ Period Converter
Convert frequency (Hz) and period (seconds) in real time, with Hz, kHz, MHz, plus seconds, ms, and µs shown together in one easy view.
Frequency ↔ Period Converter
Enter either frequency (Hz) or period (seconds) to calculate the matching value plus ms and µs units instantly. The default example is 60 Hz, so the result starts with 0.016667 seconds and 16.6667 ms.
Reference formulas: f = 1 / T, T = 1 / f. Frequency and period must both be greater than 0, and very small values switch to scientific notation to stay readable.
Conversion table
Use the copy button to grab the current numeric value instantly| Item | Value | Copy |
|---|---|---|
| Frequency (Hz) | 60 | |
| Frequency (kHz) | 0.06 | |
| Frequency (MHz) | 0.00006 | |
| Period (s) | 0.0166667 | |
| Period (ms) | 16.6667 | |
| Period (µs) | 16666.7 |
Quick reference values
- 1 Hz = 1 s = 1000 ms
- 50 Hz = 0.02 s = 20 ms
- 60 Hz ≈ 0.0166667 s = 16.6667 ms
- 440 Hz ≈ 0.00227273 s = 2.27273 ms
- 1 kHz = 0.001 s = 1 ms
- 1 MHz = 0.000001 s = 1 µs
What is a frequency ↔ period converter?
A frequency ↔ period converter helps you switch quickly between frequency (Hz) and period (seconds) for any repeating signal. Frequency tells you how many cycles happen in one second, while period tells you how long one cycle takes, so the two values are always reciprocals of each other.
That means everyday checks—such as converting 60 Hz power into seconds or turning a sensor interval of 0.002 seconds into Hz—can be reduced to a simple one-screen lookup instead of repeated manual division. This converter also adds milliseconds and microseconds so the result is easier to read in real-world engineering notes.
When to use this tool
Hz-to-seconds conversion shows up anywhere repeating signals matter: electrical systems, audio work, sensors, embedded control, and lab measurements. Because the numbers update instantly, the tool works well for quick spec checks, setting checks, and documentation cleanup.
- Power-frequency checks – Compare the cycle time of 50 Hz and 60 Hz in milliseconds
- Audio and sound work – See how long one cycle lasts at 440 Hz or other tone references
- Sensor sampling checks – Convert an update interval such as 0.001 seconds into the matching Hz rate
- PWM and control notes – Record both period and frequency together for the same loop or waveform
- Learning and training – Build intuition for why frequency and period are reciprocal values
Key features
You only need to edit one input field, and the matching value updates immediately. The summary cards and table also keep the most useful companion units—ms and µs—visible at the same time, and the copy buttons let you grab only the numeric result for notes or settings sheets.
- Two-way Hz ↔ seconds input – Start from either frequency or period and convert instantly
- Automatic companion units – See Hz, kHz, MHz together with seconds, ms, and µs
- Quick examples – Apply 50 Hz, 60 Hz, 440 Hz, 1 kHz, 0.02 s, or 1 ms in one click
- Decimal control – Choose 4, 6, 8, or 10 decimal places
- Copy buttons – Copy the current numeric value directly from each result row
How to use
Frequency and period describe the same repeating signal in two different ways, so you only need one of the two inputs. Enter the value you already have, then read the summary card first and the full table below it.
- Choose your starting value: Use either the frequency (Hz) field or the period (seconds) field.
- Enter a positive number: The converter works only with values greater than 0.
- Adjust precision if needed: Switch decimal places when you want a shorter or more detailed display.
- Read the results: Compare Hz, kHz, MHz, seconds, ms, and µs together in one place.
- Copy what you need: Use the row copy buttons to move the number directly into your notes or worksheet.
Frequency and period formulas
The math is simple because frequency and period are reciprocals: frequency f(Hz) = 1 ÷ period T(s), and period T(s) = 1 ÷ frequency f(Hz). Since Hz means cycles per second, 1000 Hz means 1000 cycles happen every second, so one cycle lasts 1/1000 of a second.
In practice, engineers often read milliseconds (ms) or microseconds (µs) more easily than raw seconds. For example, 60 Hz is easier to recognize as 16.6667 ms than as 0.0166667 seconds, and 1 MHz is much easier to read as 1 µs than as 0.000001 seconds. This tool keeps those companion values visible automatically.
- 50 Hz → seconds: T = 1 ÷ 50 = 0.02 s
- 60 Hz → ms: T = 1 ÷ 60 ≈ 0.0166667 s = 16.6667 ms
- 0.001 s → Hz: f = 1 ÷ 0.001 = 1000 Hz
- 1 µs → Hz: f = 1 ÷ 0.000001 = 1,000,000 Hz = 1 MHz
- 2.5 ms → Hz: f = 1 ÷ 0.0025 = 400 Hz
Frequently Asked Questions
Why are frequency and period reciprocal values?
Frequency tells you how many cycles happen in one second, while period tells you how long one cycle takes. If more cycles fit into one second, each cycle must be shorter. If fewer cycles fit into one second, each cycle must be longer. That is why the two values are always reciprocals.
Why is 60 Hz about 16.67 ms?
Use the period formula T = 1 ÷ f. For 60 Hz, 1 ÷ 60 = 0.0166667 seconds. Multiply that by 1000 and you get 16.6667 milliseconds. This is a common reference value for power systems and display refresh timing.
How many seconds is 1 kHz?
1 kHz is 1000 Hz, so the period is 1 ÷ 1000 = 0.001 seconds. In practice, that is usually written as 1 millisecond (1 ms).
Can this tool calculate zero or negative values?
No. This converter accepts only values greater than 0 for both frequency and period. Entering 0 would create a divide-by-zero case, which is not defined for this relationship.
Can I enter milliseconds or microseconds directly?
The input field uses seconds, but you can convert ms or µs into seconds before entering them. For example, 2 ms is 0.002 seconds and 5 µs is 0.000005 seconds. The result table then shows ms and µs automatically.
Can I use this for sampling-frequency calculations?
Yes. If a sensor or control loop repeats at a fixed interval, the same formula applies. For example, one measurement every 0.0005 seconds means 1 ÷ 0.0005 = 2000 Hz, or 2 kHz.
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