Wave Properties Calculator
Find the wavelength, frequency, period, or speed of any wave—light, sound, or water. Use it when studying wave optics, acoustics, or any oscillatory phenomenon.
About this calculator
All waves obey the fundamental wave equation: v = f · λ, where v is wave speed (m/s), f is frequency (Hz), and λ is wavelength (m). Rearranging gives λ = v / f and f = v / λ. For light in a vacuum, v = 299,792,458 m/s. For sound in air at 20 °C, v ≈ 343 m/s; speed changes with temperature via v ≈ 331 + 0.6·T m/s. The period T = 1/f relates how long one full cycle takes in seconds. This calculator selects the correct default speed based on wave type and medium temperature, so you only need to supply frequency or wavelength to get the missing quantity.
How to use
Example: find the wavelength of a 440 Hz (concert A) sound wave in air at 20 °C. Step 1 – select wave type = 'sound', medium temperature factor = 1 (standard air). Step 2 – wave speed = 343 × 1 = 343 m/s. Step 3 – apply λ = v / f = 343 / 440 ≈ 0.780 m. Step 4 – the period T = 1 / 440 ≈ 0.00227 s (about 2.27 ms). So the concert-A note has a wavelength of roughly 78 cm in air at room temperature.
Frequently asked questions
How does temperature affect the speed of sound in the wave calculator?
The speed of sound in air increases with temperature at approximately 0.6 m/s per degree Celsius, following v ≈ 331 + 0.6·T. This calculator uses a medium temperature multiplier to scale the base 343 m/s value accordingly. At 0 °C the speed drops to about 331 m/s, while at 40 °C it rises to roughly 355 m/s. This matters in precision acoustics, musical instrument tuning, and outdoor sound-system design.
What is the wavelength of visible light and how do I calculate it?
Visible light spans wavelengths from roughly 380 nm (violet) to 700 nm (red). Since light travels at c = 299,792,458 m/s in a vacuum, you use λ = c / f. A green laser at 540 THz (5.4 × 10¹⁴ Hz) has λ = 299,792,458 / 5.4 × 10¹⁴ ≈ 555 nm. Select 'light' as the wave type and enter frequency in Hz to get the wavelength instantly without manually handling the large numbers.
What is the difference between wave frequency and wave period?
Frequency (f) is the number of complete oscillations per second, measured in hertz. Period (T) is the duration of one single cycle, measured in seconds. They are exact reciprocals: T = 1/f and f = 1/T. A 50 Hz mains electrical wave has a period of 20 ms, meaning one full voltage cycle completes every 0.02 seconds. Understanding both quantities is essential in electronics, signal processing, and wave mechanics.