Frequency and Angular Velocity Unit Converter
In electronic engineering, telecommunications, mechanical design, physics experiments, and even audio processing, converting between frequency and angular velocity units is a fundamental yet critical task. However, different fields use distinct unit systems:
- Frequency units: mHz, Hz, kHz, MHz, GHz, THz
(used for signals, clock rates, radio waves, etc.) - Rotational / angular velocity units: rpm (revolutions per minute), deg/s (degrees per second), rad/s (radians per second)
(used for motors, turntables, gyroscopes, etc.)
Although these units are related, their conversion involves the circular constant π and time-unit scaling—making manual calculations highly error-prone.
To address this, we present a professional Frequency and Angular Velocity Conversion Tool, supporting instant, high-precision conversion among the following 9 units:
- Frequency: millihertz (mHz), hertz (Hz), kilohertz (kHz), megahertz (MHz), gigahertz (GHz), terahertz (THz)
- Angular velocity: revolutions per minute (rpm), degrees per second (deg/s), radians per second (rad/s)
Simply enter a value, select the source and target units, and get an accurate result in seconds!
🔁 Core Conversion Formulas
1. Frequency Units (based on hertz, decimal system)
| Conversion | Formula |
|---|---|
| mHz → Hz | Hz = mHz ÷ 1,000 |
| Hz → kHz | kHz = Hz ÷ 1,000 |
| kHz → MHz | MHz = kHz ÷ 1,000 |
| MHz → GHz | GHz = MHz ÷ 1,000 |
| GHz → THz | THz = GHz ÷ 1,000 |
💡 Note: 1 Hz = 1 cycle per second
2. Angular Velocity ↔ Frequency Conversions
One full rotation = 360° = 2π radians ≈ 6.28319 rad
| Conversion Direction | Formula |
|---|---|
| rpm → Hz | Hz = rpm ÷ 60 |
| Hz → rpm | rpm = Hz × 60 |
| rpm → rad/s | rad/s = rpm × (2π ÷ 60) ≈ rpm × 0.10472 |
| rad/s → rpm | rpm = rad/s × (60 ÷ 2π) ≈ rad/s × 9.5493 |
| deg/s → rad/s | rad/s = deg/s × (π ÷ 180) ≈ deg/s × 0.0174533 |
| rad/s → deg/s | deg/s = rad/s × (180 ÷ π) ≈ rad/s × 57.2958 |
| Hz → rad/s | rad/s = Hz × 2π ≈ Hz × 6.28319 |
| rad/s → Hz | Hz = rad/s ÷ 2π ≈ rad/s × 0.159155 |
📊 Common Unit Reference Table
| Hz | kHz | MHz | GHz | rpm | deg/s | rad/s |
|---|---|---|---|---|---|---|
| 1 | 0.001 | 1e-6 | 1e-9 | 60 | 360 | 6.2832 |
| 10 | 0.01 | 1e-5 | 1e-8 | 600 | 3,600 | 62.832 |
| 100 | 0.1 | 1e-4 | 1e-7 | 6,000 | 36,000 | 628.32 |
| 1,000 | 1 | 0.001 | 1e-6 | 60,000 | 360,000 | 6,283.2 |
| — | — | — | — | 1 | 6 | 0.10472 |
| — | — | — | — | — | 1 | 0.017453 |
| — | — | — | — | 9.5493 | 57.2958 | 1 |
✅ Key Reference Points
- China mains frequency: 50 Hz = 3,000 rpm (for synchronous motors)
- Audio range: 20 Hz – 20 kHz
- Wi-Fi 6E band: 6 GHz
- Hard drive speed: 5,400 rpm ≈ 90 Hz ≈ 565.5 rad/s
- Earth’s rotational angular velocity: ≈ 7.2921 × 10⁻⁵ rad/s ≈ 0.000417 deg/s
✨ Tool Advantages
- Cross-domain integration: Seamlessly connects electronic frequency and mechanical angular velocity units
- High-precision calculation: Uses π ≈ 3.141592653589793 for engineering-grade accuracy
- Real-time conversion: Instant results upon input; supports scientific notation (e.g.,
2.4e9) - Completely free · No ads · No registration required
- Responsive design: Works perfectly on smartphones, tablets, and desktops
🌐 Try It Now!
🌀 Make frequency and angular velocity conversions simple, intuitive, and error-free!
Whether you're tuning a motor, designing a filter, analyzing vibration signals, or studying physics—this tool is your trusted companion.
⚡ Give it a try today—precisely control every rotation and oscillation!