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Frequency Calculator

Calculate wave frequency, wavelength, period, and speed using the fundamental wave equation v = f × λ. Perfect for physics students, engineers, and anyone working with electromagnetic or mechanical waves.

Calculation Results

Frequency

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Wavelength

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Period

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Wave Speed

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Wave Physics Formulas

Fundamental Wave Equation

v = f × λ

Where: v = wave speed, f = frequency, λ = wavelength

Frequency and Period Relationship

f = 1 / T

Where: f = frequency, T = period

What is Wave Frequency?

Frequency is the number of complete wave cycles that pass a point per unit time. It is measured in Hertz (Hz), where 1 Hz equals one cycle per second. This frequency calculator helps you understand the relationships between frequency, wavelength, period, and wave speed. For related calculations, check out our wavelength calculator or explore more physics calculators.

Common Wave Types and Their Frequencies

  • Radio Waves: 3 kHz to 300 GHz
  • Visible Light: 430-770 THz (wavelength 390-700 nm)
  • Sound Waves: 20 Hz to 20 kHz (human hearing range)
  • Ultrasound: Above 20 kHz
  • Infrasound: Below 20 Hz

Wave Speed in Different Media

  • Light in Vacuum: 299,792,458 m/s (speed of light, c)
  • Sound in Air (20°C): ~343 m/s
  • Sound in Water: ~1,480 m/s
  • Sound in Steel: ~5,960 m/s

How to Use This Calculator

This wave frequency calculator can determine any wave property when you provide at least two values:

  1. Enter any two known values (frequency, wavelength, speed, or period)
  2. Select the appropriate units for each value
  3. Click "Calculate" to find the remaining properties
  4. Use the preset buttons for common wave speeds like light or sound

Frequently Asked Questions

1. What is the relationship between frequency and wavelength?
Frequency and wavelength are inversely proportional. As frequency increases, wavelength decreases, and vice versa. This relationship is described by the equation: v = f × λ, where v is wave speed.
2. How do I convert between frequency units?
Common conversions: 1 kHz = 1,000 Hz; 1 MHz = 1,000,000 Hz; 1 GHz = 1,000,000,000 Hz. Our calculator handles these conversions automatically.
3. What is the speed of light?
The speed of light in vacuum is exactly 299,792,458 meters per second (approximately 3 × 10⁸ m/s). This is the maximum speed at which energy and information can travel.
4. Can this calculator be used for sound waves?
Yes! Use the "Sound in Air" or "Sound in Water" presets to set the appropriate wave speed, then enter either frequency or wavelength to calculate the corresponding properties.
5. What is period in wave physics?
Period (T) is the time it takes for one complete wave cycle to pass a point. It's the reciprocal of frequency: T = 1/f. If a wave has a frequency of 2 Hz, its period is 0.5 seconds.
6. How does wave speed affect frequency and wavelength?
Wave speed determines the relationship between frequency and wavelength. For a constant wave speed, higher frequencies result in shorter wavelengths, and lower frequencies produce longer wavelengths. This is why radio waves (low frequency) have long wavelengths while gamma rays (high frequency) have extremely short wavelengths.
7. What's the difference between electromagnetic and mechanical waves?
Electromagnetic waves (like light and radio waves) can travel through vacuum at the speed of light (299,792,458 m/s), while mechanical waves (like sound) require a medium and travel at much slower speeds. Sound travels at ~343 m/s in air and ~1,480 m/s in water.