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1 kHz equals 1 millisecond period.
This is because 1 kilohertz means 1,000 cycles per second. To find the duration of one cycle in milliseconds, we divide 1 second (1000 ms) by the frequency in Hz. So, at 1 kHz, each cycle lasts 1 ms.
Conversion Result and Explanation
Converting 1 kHz to milliseconds gives 1 ms because the period of a 1 kHz signal is 1 millisecond. This means each cycle occurs every 1 ms, making the conversion straightforward based on the inverse relationship between frequency and period.
Conversion Tool
Result in ms:
Conversion Formula
The formula to convert kilohertz to milliseconds is: period (ms) = 1000 / frequency (kHz). This works because frequency is cycles per second. Dividing 1000 ms (1 second) by the frequency gives the length of each cycle in milliseconds.
For example, at 2 kHz: 1000 / 2 = 500 ms, which means each cycle lasts half a millisecond. This inverse relationship shows that higher frequencies produce shorter periods.
Conversion Example
- Convert 0.5 kHz to ms:
- Apply formula: 1000 / 0.5 = 2000 ms
- The period is 2000 milliseconds or 2 seconds.
- Convert 5 kHz to ms:
- Apply formula: 1000 / 5 = 200 ms
- Each cycle lasts 200 milliseconds.
- Convert 10 kHz to ms:
- Apply formula: 1000 / 10 = 100 ms
- One cycle takes 100 milliseconds.
- Convert 0.25 kHz to ms:
- Apply formula: 1000 / 0.25 = 4000 ms
- Each cycle is 4 seconds long.
- Convert 15 kHz to ms:
- Apply formula: 1000 / 15 ≈ 66.6667 ms
- The cycle duration is approximately 66.67 milliseconds.
Conversion Chart
This chart shows how different frequencies in kHz convert to milliseconds. Read the table to quickly find the period length for specific frequencies.
| Frequency (kHz) | Period (ms) |
|---|---|
| -24.0 | -41.6667 |
| -23.0 | -43.4783 |
| -22.0 | -45.4545 |
| -21.0 | -47.6190 |
| -20.0 | -50.0000 |
| -19.0 | -52.6316 |
| -18.0 | -55.5556 |
| -17.0 | -58.8235 |
| -16.0 | -62.5000 |
| -15.0 | -66.6667 |
| -14.0 | -71.4286 |
| -13.0 | -76.9231 |
| -12.0 | -83.3333 |
| -11.0 | -90.9091 |
| -10.0 | -100.0 |
| -9.0 | -111.1111 |
| -8.0 | -125.0 |
| -7.0 | -142.8571 |
| -6.0 | -166.6667 |
| -5.0 | -200.0 |
| -4.0 | -250.0 |
| -3.0 | -333.3333 |
| -2.0 | -500.0 |
| -1.0 | -1000.0 |
| 0.0 | Infinity |
| 1.0 | 1000.0 |
| 2.0 | 500.0 |
| 3.0 | 333.3333 |
| 4.0 | 250.0 |
| 5.0 | 200.0 |
| 6.0 | 166.6667 |
| 7.0 | 142.8571 |
| 8.0 | 125.0 |
| 9.0 | 111.1111 |
| 10.0 | 100.0 |
| 11.0 | 90.9091 |
| 12.0 | 83.3333 |
| 13.0 | 76.9231 |
| 14.0 | 71.4286 |
| 15.0 | 66.6667 |
| 16.0 | 62.5 |
| 17.0 | 58.8235 |
| 18.0 | 55.5556 |
| 19.0 | 52.6316 |
| 20.0 | 50.0 |
| 21.0 | 47.6190 |
| 22.0 | 45.4545 |
| 23.0 | 43.4783 |
| 24.0 | 41.6667 |
Related Conversion Questions
- How many milliseconds are in 1.5 kHz?
- What is the period in ms for 0.1 kHz frequency?
- How do I convert 10 kHz to milliseconds?
- What is the cycle duration of 3.5 kHz in milliseconds?
- Can I convert any frequency in kHz to milliseconds using this method?
- What is the relationship between frequency and period in ms?
- How does increasing frequency affect the period in ms?
Conversion Definitions
kHz: Kilohertz is a unit of frequency equal to 1,000 cycles per second, used to measure how many oscillations or cycles occur each second in a signal or wave.
ms: Milliseconds is a unit of time representing one-thousandth of a second, used to measure the duration of a single cycle or interval in a repetitive process or wave.
Conversion FAQs
Why does dividing 1000 by the frequency give the period in milliseconds?
This is because the period (time for one cycle) is the inverse of the frequency. Since frequency in kHz is cycles per second, dividing 1000 ms by the frequency in kHz converts it into the duration of one cycle in milliseconds.
Can I use this conversion for frequencies higher than 1 kHz?
Yes, the formula applies regardless of the frequency. For higher frequencies, the period becomes shorter, and dividing 1000 by the frequency in kHz still correctly calculates the milliseconds per cycle.
What happens if the frequency is zero or negative in the calculation?
Zero frequency indicates no oscillations, which makes the period infinite, while negative frequencies are physically meaningless. The formula is only valid for positive frequencies.
Is this conversion applicable for audio signals?
Yes, many audio frequencies are measured in kHz, and converting to milliseconds helps understand the wave durations, especially for analyzing signal timing or waveform characteristics in audio processing.
