Enter a period and pick your units. See frequency, rpm, and angular speed together clearly. Download results as CSV or PDF in one click.
| Period (T) | Converted T (s) | Frequency (f = 1/T) |
|---|---|---|
| 0.02 s | 0.02 s | 50 Hz |
| 1 ms | 0.001 s | 1000 Hz (1 kHz) |
| 8.333 ms | 0.008333 s | ≈120 Hz |
| 16.667 ms | 0.016667 s | ≈60 Hz |
| 2 min | 120 s | 0.008333 Hz |
Tip: For tiny periods (µs or ns), enable scientific notation.
Where T is period (seconds), f is frequency (hertz), ω is rad/s, v is wave speed (m/s), and λ is wavelength (meters).
Period (T) is the time for one full cycle. Frequency (f) is the number of cycles completed per second. Because they are reciprocals, decreasing T always increases f. This tool converts a single measured period into useful frequency outputs.
The calculator first converts your entered period to seconds using the selected unit. It supports seconds, milliseconds, microseconds, nanoseconds, minutes, and hours. Accurate unit handling matters when comparing sensors, timers, and waveforms, because a small unit mistake can change frequency by thousands or millions.
After conversion, frequency is computed with f = 1/T. The primary result is in hertz (Hz). You can also view scaled units like kHz, MHz, or GHz for compact reporting. For example, T = 0.02 s gives f = 50 Hz, while T = 1 ms gives f = 1000 Hz (1 kHz).
Many systems sit in familiar ranges. Power systems are often 50 Hz or 60 Hz, corresponding to T ≈ 0.02 s or T ≈ 0.01667 s. A 120 Hz refresh-like signal repeats every 8.333 ms. A 440 Hz tone has a period near 2.27 ms. Seeing these pairs builds intuition quickly.
For vibration and harmonic motion, angular frequency is helpful. The calculator computes ω = 2πf in rad/s. This value plugs directly into equations for sinusoidal motion, impedance, and resonance. When f is known, ω removes repeated 2π conversions and keeps analysis consistent.
Mechanical rotation is often expressed as revolutions per minute. The tool provides rpm = 60f, which is useful for motors, fans, and shafts. For instance, 10 Hz equals 600 rpm, and 25 Hz equals 1500 rpm. This lets you move between electrical timing and mechanical speed instantly.
If you also know wave speed v, the calculator can estimate wavelength using λ = v/f. With v = 343 m/s, a 1 kHz sound has λ ≈ 0.343 m. After computing, download CSV for spreadsheets or PDF for sharing a clean summary. Use scientific notation for tiny periods, and increase significant figures when you need more stable rounding results.
Select the correct period unit. The tool converts your value to seconds internally, then calculates frequency accurately.
Yes. Choose an output unit from the frequency menu. The calculator scales the hertz result into the unit you select.
rpm helps with rotating equipment, while ω = 2πf is used in many physics and vibration formulas. Showing both saves extra steps.
Enable it for very small periods (µs or ns) or very large frequencies. It keeps numbers readable without losing scale.
Check “Also compute wavelength” and enter wave speed in m/s. The tool uses λ = v/f and reports wavelength in meters.
They include your input period, converted seconds, frequency outputs, rpm, and angular frequency. If wavelength is enabled, wave speed and wavelength are included.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.