1 kHz equals 1 millisecond
The conversion of 1 khz to ms results in 1 millisecond. This means that a frequency of 1 kHz corresponds to a time period of 1 millisecond.
In detailed explanation, since 1 kHz is 1000 cycles per second, each cycle lasts 1/1000 seconds, which is 0.001 seconds or 1 ms. Thus, the frequency directly relates to the duration of each cycle, making the conversion straightforward.
Conversion Result and Explanation
1 kHz is equal to 1 millisecond because the inverse of frequency gives the period. Specifically, the period T in seconds is 1 divided by the frequency in Hz. For 1 kHz, T = 1 / 1000 = 0.001 seconds, which is 1 ms.
Conversion Tool
Result in ms:
Conversion Formula
The formula to convert khz to ms is based on the inverse relationship between frequency and period. Period (ms) equals 1 divided by frequency (kHz) times 1000. This is because 1 kHz equals 1000 cycles per second, so each cycle takes 1/1000 seconds or 1 ms.
Mathematically, T (ms) = 1 / (f (kHz)) where f is the frequency in kilohertz. For example, for 2 kHz, T = 1 / 2 = 0.5 seconds, which is 500 ms.
Conversion Example
- Convert 2 kHz:
- Frequency = 2 kHz
- Period = 1 / 2 = 0.5 seconds
- 0.5 seconds = 500 milliseconds
- Convert 0.5 kHz:
- Frequency = 0.5 kHz
- Period = 1 / 0.5 = 2 seconds
- 2 seconds = 2000 milliseconds
- Convert 10 kHz:
- Frequency = 10 kHz
- Period = 1 / 10 = 0.1 seconds
- 0.1 seconds = 100 milliseconds
Conversion Chart
| kHz | Milliseconds |
|---|---|
| -24.0 | ~ 16777216.0 |
| -23.0 | ~ 8388608.0 |
| -22.0 | ~ 4194304.0 |
| -21.0 | ~ 2097152.0 |
| -20.0 | ~ 1048576.0 |
| -19.0 | ~ 524288.0 |
| -18.0 | ~ 262144.0 |
| -17.0 | ~ 131072.0 |
| -16.0 | ~ 65536.0 |
| -15.0 | ~ 32768.0 |
| -14.0 | ~ 16384.0 |
| -13.0 | ~ 8192.0 |
| -12.0 | ~ 4096.0 |
| -11.0 | ~ 2048.0 |
| -10.0 | ~ 1024.0 |
| -9.0 | ~ 512.0 |
| -8.0 | ~ 256.0 |
| -7.0 | ~ 128.0 |
| -6.0 | ~ 64.0 |
| -5.0 | ~ 32.0 |
| -4.0 | ~ 16.0 |
| -3.0 | ~ 8.0 |
| -2.0 | ~ 4.0 |
| -1.0 | ~ 2.0 |
| 0.0 | Infinity |
| 1.0 | 1.0 |
| 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 |
Use this chart to quickly find the ms value for different khz frequencies by locating the value in the first column and reading across.
Related Conversion Questions
- How many milliseconds is 1 kHz frequency?
- What is the period in ms for 0.5 kHz?
- How do I convert 1 kHz to milliseconds manually?
- What does a frequency of 5 kHz mean in ms?
- Can I convert 1 kHz to ms without a calculator?
- What is the period in ms if the frequency is 10 kHz?
Conversion Definitions
khz
Khz (kilohertz) is a unit of frequency equal to 1,000 cycles per second, used to measure how many oscillations or cycles occur in one second in electronic signals, sound waves, or radio transmissions.
ms
Ms (milliseconds) is a unit of time equal to one-thousandth of a second, used to measure short durations such as the period of a wave or the response time of a system.
Conversion FAQs
How does the frequency relate to the time period in ms?
The frequency in khz is inversely proportional to the period in ms. As frequency increases, the time for each cycle decreases, meaning higher frequencies have shorter periods.
Is the conversion accurate for fractional kilohertz values?
Yes, the conversion formula works for fractional khz values, providing precise period calculations based on the inverse relationship between frequency and period.
Why does 1 kHz correspond to 1 ms?
This is because 1 kHz means 1000 cycles per second, so each cycle lasts 1/1000 seconds, which equals 1 millisecond, establishing a direct relationship between the two units.