Frequency & Period Converter
Convert between frequency and period instantly. Hz, kHz, MHz, GHz, RPM, and rad/s.
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Results
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Common Frequencies Reference
| Frequency | Period | Description |
|---|---|---|
| 50 Hz | 20.0 ms | Mains (Europe, Asia) |
| 60 Hz | 16.7 ms | Mains (Americas) |
| 440 Hz | 2.27 ms | Concert pitch (A4) |
| 1 kHz | 1.00 ms | Audio test tone |
| 32.768 kHz | 0.0305 ms | RTC crystal |
| 1 MHz | 1.00 µs | Common MCU clock |
| 2.4 GHz | 0.417 ns | WiFi / Bluetooth |
| 5.8 GHz | 0.172 ns | WiFi 5 GHz band |
Frequency and Period
Frequency and period are two ways of describing the same thing: how fast something repeats. Frequency (f) counts cycles per second in hertz (Hz). Period (T) measures the time for one complete cycle. The relationship is simple: f = 1/T and T = 1/f.
In electronics, you encounter frequencies from sub-hertz (heartbeat sensors) to gigahertz (WiFi, Bluetooth). The 32.768 kHz crystal in every digital watch was chosen because 32768 = 2^15, which a chain of 15 flip-flops divides down to exactly 1 Hz for the seconds counter.
Angular frequency ω = 2πf (in rad/s) appears in formulas for impedance (XL = ωL, XC = 1/ωC) and transfer functions. RPM (revolutions per minute) is common in motors — divide by 60 to get Hz. These are all different units for the same physical quantity.
Conversion Formula
f = 1/T T = 1/fKey Points
- f = 1/T — frequency and period are reciprocals
- ω = 2πf — angular frequency in radians per second
- RPM = f × 60 — used for rotating machinery
- 32.768 kHz = 2^15 Hz — standard RTC crystal frequency
Applications
- Oscillator and crystal selection
- Timer/counter configuration for microcontrollers
- Motor speed measurement and control
- Audio and RF frequency analysis