Frequency Calculator

The Frequency Calculator uses the wave equation v = λ × f to calculate any missing property: frequency, wavelength, or wave velocity. Simply enter two known values and the calculator solves for the third.

The relationship between wave velocity (v), wavelength (λ), and frequency (f) is:

$v = \\lambda \\times f$

This fundamental equation applies to all types of waves: sound, light, water, and electromagnetic waves.

• Physics homework — solve wave problems in mechanics and optics
• Audio engineering — calculate sound frequencies and wavelengths
• Radio communications — determine signal wavelengths for antenna design
• Seismology — analyze earthquake wave properties
• Medical imaging — understand ultrasound and MRI physics

Frequency measures how many wave cycles pass a point per second, measured in Hertz (Hz). To find frequency:

$f = \\frac{v}{\\lambda}$

For example, sound traveling at 343 m/s with a wavelength of 1 meter has a frequency of 343 Hz.

Wavelength is the physical distance between two identical points on consecutive waves. To find wavelength:

$\\lambda = \\frac{v}{f}$

For example, a 440 Hz musical note in air (343 m/s) has a wavelength of about 78 cm.

The calculator accepts multiple units:

• Velocity: m/s, km/s, mph, speed of light, speed of sound
• Frequency: Hz, kHz, MHz, GHz
• Wavelength: meters, centimeters, kilometers, feet, inches