Samantha NicoleThe frequency 20 kHz equals 0.00005 seconds.
This conversion process involves taking the reciprocal of the frequency in kilohertz because frequency in kHz measures cycles per thousand seconds, so to find the duration of one cycle in seconds, we divide 1 by the frequency (in Hz). Since 20 kHz is 20,000 cycles per second, the time for one cycle is 1 divided by 20,000, resulting in 0.00005 seconds.
What is the conversion of 20 kHz to seconds?
Result in seconds:
Conversion Formula
The conversion from khz to seconds uses the formula: Time (seconds) = 1 / (Frequency in Hz). Since 1 kHz = 1000 Hz, for a khz value, we multiply by 1000 to get Hz, then take the reciprocal to find the duration of one cycle in seconds. For example, 20 kHz is 20,000 Hz, so Time = 1 / 20000 = 0.00005 seconds.
This works because frequency is the number of cycles per second, so the period of a cycle is the inverse of the frequency. When the frequency increases, the period decreases, making the cycles faster. Conversely, lower frequencies mean longer periods.
Conversion Example
- Convert 10 kHz:
- 10 kHz = 10,000 Hz
- Period = 1 / 10,000 = 0.0001 seconds
- Convert 50 kHz:
- 50 kHz = 50,000 Hz
- Period = 1 / 50,000 = 0.00002 seconds
- Convert 5 kHz:
- 5 kHz = 5,000 Hz
- Period = 1 / 5,000 = 0.0002 seconds
- Convert 100 kHz:
- 100 kHz = 100,000 Hz
- Period = 1 / 100,000 = 0.00001 seconds
- Convert 1 kHz:
- 1 kHz = 1,000 Hz
- Period = 1 / 1,000 = 0.001 seconds
Conversion Chart
This chart shows values from -5.0 to 45.0 kHz and their corresponding seconds. Use it to quickly find the period for these frequencies.
| kHz | Seconds |
|---|---|
| -5.0 | 0.0000002 |
| -4.0 | 0.00000025 |
| -3.0 | 0.00000033 |
| -2.0 | 0.0000005 |
| -1.0 | 0.000001 |
| 0.0 | 1 |
| 5.0 | 0.0002 |
| 10.0 | 0.0001 |
| 15.0 | 0.0000667 |
| 20.0 | 0.00005 |
| 25.0 | 0.00004 |
| 30.0 | 0.0000333 |
| 35.0 | 0.0000286 |
| 40.0 | 0.000025 |
| 45.0 | 0.0000222 |
Read the table by matching the frequency in kilohertz with its corresponding seconds value to see how fast the cycles are at each frequency.
Related Conversion Questions
- How long does one cycle last at 20 kHz?
- What is the period of a 20 kHz signal in seconds?
- How do I convert 20 kilohertz into seconds per cycle?
- What is the duration of one wave at 20,000 Hz?
- How many seconds does a 20 kHz frequency represent?
- Can I convert 20 kHz to milliseconds?
- What is the mathematical formula to go from 20 kHz to seconds?
Conversion Definitions
khz: A unit of frequency measuring thousands of cycles per second. 1 kHz equals 1000 cycles every second, used in audio, radio, and electronic signals to describe how often a wave repeats.
Seconds: A basic unit of time representing the duration of one complete cycle of a wave, mathematically the reciprocal of frequency in hertz, indicating how long a cycle lasts.
Conversion FAQs
How does frequency relate to the period of a wave?
Frequency determines how many cycles occur in one second, so higher frequencies mean shorter periods, and vice versa. The period is exactly the reciprocal of the frequency, showing the time for one cycle.
Can I convert any frequency in khz to seconds?
Yes, but only for the period of a single cycle. To do this, multiply the khz value by 1000 to get Hz, then take 1 divided by that number. This gives the duration of one cycle in seconds.
What if I want to convert 20 kHz to milliseconds?
To convert seconds to milliseconds, multiply the seconds value by 1000. For 20 kHz, the period is 0.00005 seconds, which equals 0.05 milliseconds.
Why does increasing frequency decrease the period?
Because frequency and period are inversely related: as frequency increases, the time for each cycle reduces, making wave cycles faster; when frequency decreases, the period lengthens.
