1 kHz is equal to 1 millisecond (ms).
This is because frequency in kilohertz (kHz) measures how many cycles occur per second, and to find the duration of one cycle in milliseconds, we take the reciprocal of the frequency. Since 1 kHz equals 1000 cycles per second, each cycle lasts 1/1000 seconds, which is 1 ms.
Conversion Result
When converting 1 kHz to milliseconds, the result is 1 ms.
Conversion Tool
Result in ms:
Conversion Formula
The formula to convert kilohertz to milliseconds is: duration in ms = 1 / frequency in kHz. This works because frequency is cycles per second, so the period of each cycle is the reciprocal. For example, if 1 kHz equals 1000 cycles/sec, then each cycle lasts 1/1000 sec or 1 ms.
Conversion Example
- Convert 2 kHz:
- Frequency = 2 kHz
- Period = 1 / 2 = 0.5 seconds
- Convert to milliseconds: 0.5 * 1000 = 500 ms
- Convert 0.5 kHz:
- Frequency = 0.5 kHz
- Period = 1 / 0.5 = 2 seconds
- Convert to milliseconds: 2 * 1000 = 2000 ms
- Convert 10 kHz:
- Frequency = 10 kHz
- Period = 1 / 10 = 0.1 seconds
- Convert to milliseconds: 0.1 * 1000 = 100 ms
- Convert 5 kHz:
- Frequency = 5 kHz
- Period = 1 / 5 = 0.2 seconds
- Convert to milliseconds: 0.2 * 1000 = 200 ms
- Convert 0.1 kHz:
- Frequency = 0.1 kHz
- Period = 1 / 0.1 = 10 seconds
- Convert to milliseconds: 10 * 1000 = 10,000 ms
Conversion Chart
This table shows how different frequencies in kHz correspond to durations in milliseconds. Read the values across the row to find the duration for any given frequency.
| Frequency (kHz) | Duration (ms) |
|---|---|
| -24.0 | -0.0417 |
| -23.0 | -0.0435 |
| -22.0 | -0.0455 |
| -21.0 | -0.0476 |
| -20.0 | -0.05 |
| -19.0 | -0.0526 |
| -18.0 | -0.0556 |
| -17.0 | -0.0588 |
| -16.0 | -0.0625 |
| -15.0 | -0.0667 |
| -14.0 | -0.0714 |
| -13.0 | -0.0769 |
| -12.0 | -0.0833 |
| -11.0 | -0.0909 |
| -10.0 | -0.1 |
| -9.0 | -0.1111 |
| -8.0 | -0.125 |
| -7.0 | -0.1429 |
| -6.0 | -0.1667 |
| -5.0 | -0.2 |
| -4.0 | -0.25 |
| -3.0 | -0.3333 |
| -2.0 | -0.5 |
| -1.0 | -1 |
| 0.0 | Infinity |
| 1.0 | 1 |
| 2.0 | 0.5 |
| 3.0 | 0.3333 |
| 4.0 | 0.25 |
| 5.0 | 0.2 |
| 6.0 | 0.1667 |
| 7.0 | 0.1429 |
| 8.0 | 0.125 |
| 9.0 | 0.1111 |
| 10.0 | 0.1 |
| 20.0 | 0.05 |
| 26.0 | 0.0385 |
Related Conversion Questions
- What is the period in milliseconds for 1 kHz frequency?
- How do I convert frequency from kilohertz to milliseconds per cycle?
- If a signal vibrates at 1 kHz, how long does one cycle last?
- How many milliseconds are in 1 kilohertz?
- Can I use this conversion to find the duration of a wave with 1 kHz?
- What is the relationship between 1 kHz and milliseconds?
- How do frequency and period relate in milliseconds for 1 kHz?
Conversion Definitions
khz: A unit of frequency equal to 1,000 cycles per second, used to measure how often a repeating event occurs per second in electronic signals and waveforms.
ms: Milliseconds, a unit of time equal to one-thousandth of a second, used to express durations or intervals, especially in electronic timing and signal processing.
Conversion FAQs
How is the period of a 1 kHz signal expressed in milliseconds?
The period of a 1 kHz signal is 1 millisecond because each cycle takes 1/1000 seconds, which converts directly to 1 ms.
What happens to the cycle duration if the frequency increases to 10 kHz?
The cycle duration decreases to 0.1 milliseconds because higher frequency means more cycles per second, so each cycle is shorter.
Can I convert any frequency in kHz to milliseconds using this method?
Yes, dividing 1 by the frequency in kHz gives the duration of each cycle in seconds; multiply by 1000 for milliseconds.
Why does the duration decrease as frequency increases?
Because the number of cycles per second goes up, each individual cycle must be shorter, leading to a smaller duration in ms.
Is this conversion applicable for audio signals?
Yes, especially in radio and audio applications, knowing the period in milliseconds helps understand the timing of waveforms at different frequencies.
