Frequency Converter ⚡
Free online frequency converter. Convert Hz, kHz, MHz, GHz, RPM, radians/second, degrees and more. Instant conversion between 18+ frequency units with formulas and examples.
📐 Conversion Formula
Frequency Conversion Table
| From | Multiply by | To get |
|---|---|---|
| 1 Hz | 0.001 | kHz |
| 1 Hz | 0.000001 | MHz |
| 1 Hz | 60 | RPM |
| 1 Hz | 6.28318 | rad/s |
| 1 kHz | 1,000 | Hz |
| 1 MHz | 1,000 | kHz |
| 1 GHz | 1,000 | MHz |
| 1 RPM | 0.01667 | Hz |
Common Frequency Conversions
Hz to kHz
÷ 1,000
Example: 5,000 Hz = 5 kHz
Hz to RPM
× 60
Example: 50 Hz = 3,000 RPM
MHz to GHz
÷ 1,000
Example: 2,400 MHz = 2.4 GHz
Hz to rad/s
× 2π
Example: 1 Hz ≈ 6.28 rad/s
Converter Performance Metrics
How to Use Frequency Converter
Step 1: Enter Value
Type the frequency value you want to convert in the "From" field. The converter accepts any positive or negative number including decimals. For example, enter 50 for 50 Hz or 2.4 for 2.4 GHz depending on your selected unit.
Step 2: Select Source Unit
Choose the unit of your input frequency from the "From" dropdown. Options include Hz, kHz, MHz, GHz, THz, RPM, radians/second, degrees/second, and more. Select the unit that matches your measurement for accurate conversion.
Step 3: Select Target Unit
Pick the unit you want to convert to from the "To" dropdown. The conversion happens automatically in real-time as you change units. The formula used for conversion is displayed below the converter for reference and verification.
Step 4: Use Results
View the converted result in the "To" field. Click Copy to copy the result to clipboard, Swap to reverse conversion direction, or Reset to start over. All calculations are instant and require no manual calculation or button pressing.
Understanding Frequency
What is Frequency?
Frequency measures how often a repeating event occurs per unit of time. The SI unit is hertz (Hz), representing one cycle per second. Frequency is fundamental to physics, engineering, music, electronics, and telecommunications. Higher frequency means more cycles occur in the same time period.
Formula: Frequency \( f \) is the reciprocal of period \( T \): \( f = \frac{1}{T} \). For wave motion, \( f = \frac{v}{\lambda} \) where \( v \) is wave velocity and \( \lambda \) is wavelength. For rotating objects, \( f = \frac{\text{RPM}}{60} \) converts revolutions per minute to hertz.
Common Frequency Units
Hertz (Hz): One cycle per second. Named after Heinrich Hertz. Used for AC power (50/60 Hz), audio frequencies (20-20,000 Hz), and low-frequency oscillations.
Kilohertz (kHz): 1,000 Hz. Used for AM radio broadcasting, audio electronics, and mid-range frequency applications.
Megahertz (MHz): 1,000,000 Hz. Used for FM radio, TV broadcasting, computer processors, and RF communications.
Gigahertz (GHz): 1,000,000,000 Hz. Used for modern CPUs, WiFi, cellular networks, and microwave frequencies. Also THz (terahertz) for optical and infrared applications.
Common Use Cases
⚡ Electrical Engineering
Convert power line frequencies (50Hz/60Hz), motor speeds in RPM to Hz, VFD (Variable Frequency Drive) settings, and AC signal analysis. Essential for power systems, motor control, and frequency converters in industrial applications.
📡 Telecommunications
Work with radio frequencies, WiFi bands (2.4 GHz/5 GHz), cellular networks, satellite communications, and RF engineering. Convert between MHz and GHz for spectrum analysis, antenna design, and wireless system planning.
💻 Computer Science
Convert CPU clock speeds (GHz to MHz), understand processor performance, analyze bus frequencies, and work with timing calculations. Essential for hardware design, performance benchmarking, and system optimization.
🎵 Audio Engineering
Convert audio frequencies, understand pitch in Hz, analyze sound waves, and work with sampling rates (44.1 kHz, 48 kHz). Crucial for music production, acoustics, speaker design, and audio signal processing.
🔧 Mechanical Engineering
Convert motor RPM to Hz, analyze vibration frequencies, calculate rotating machinery speeds, and understand resonance. Important for motor design, vibration analysis, balancing operations, and predictive maintenance.
🎓 Education & Research
Students and researchers use frequency converters for physics experiments, wave calculations, oscillation studies, and understanding periodic phenomena. Essential for homework, lab work, and scientific calculations across multiple disciplines.
Frequently Asked Questions
How do I convert Hz to kHz?
+To convert hertz (Hz) to kilohertz (kHz), divide the frequency by 1,000. Formula: \( \text{kHz} = \frac{\text{Hz}}{1000} \). Example: 5,000 Hz ÷ 1,000 = 5 kHz. Since "kilo" means 1,000, one kilohertz equals one thousand hertz. This is a simple decimal shift—move the decimal point three places to the left.
How do I convert Hz to RPM?
+To convert hertz (Hz) to revolutions per minute (RPM), multiply the frequency by 60. Formula: \( \text{RPM} = \text{Hz} \times 60 \). Example: 50 Hz × 60 = 3,000 RPM. Since Hz measures cycles per second and there are 60 seconds in a minute, multiplication by 60 gives revolutions per minute. This conversion is crucial for motor speed calculations.
What's the difference between 50Hz and 60Hz power?
+50Hz and 60Hz are standard AC power frequencies used globally. Most of Europe, Asia, Africa, and Australia use 50Hz, while North America, parts of South America, and some Asia-Pacific countries use 60Hz. The difference affects motor speeds (60Hz motors run 20% faster), transformer design, and appliance compatibility. Frequency converters are needed to operate 50Hz equipment on 60Hz power and vice versa.
How do I convert MHz to GHz?
+To convert megahertz (MHz) to gigahertz (GHz), divide the frequency by 1,000. Formula: \( \text{GHz} = \frac{\text{MHz}}{1000} \). Example: 2,400 MHz ÷ 1,000 = 2.4 GHz. This conversion is common in wireless communications (WiFi operates at 2.4 GHz and 5 GHz) and computer processors (modern CPUs run at 3-5 GHz).
What is the relationship between frequency and period?
+Frequency and period are reciprocals. Frequency is cycles per unit time, period is time per cycle. Formula: \( f = \frac{1}{T} \) and \( T = \frac{1}{f} \). Example: 50 Hz has period T = 1/50 = 0.02 seconds (20 milliseconds). Higher frequency means shorter period—cycles complete faster. This relationship is fundamental to wave physics and oscillatory motion.
How do I convert radians per second to Hz?
+To convert radians per second (rad/s) to hertz (Hz), divide by 2π (approximately 6.28318). Formula: \( \text{Hz} = \frac{\text{rad/s}}{2\pi} \). Example: 10 rad/s ÷ 6.28318 ≈ 1.59 Hz. Angular frequency (ω) in rad/s relates to frequency (f) in Hz by \( \omega = 2\pi f \). This conversion is essential in rotational mechanics and wave analysis.