Waves & Sound
Wavelength Calculator
Wavelength from wave speed and frequency (λ = v/f) — works for sound, light and radio waves.
λ = v / f
Also called lambda calculator · wavelength formula
Science · 10 calculators
Waves & Sound Calculators
Wavelength, frequency, wave speed, period, sound intensity, decibels, Doppler effect, resonance and echoes.
Waves & Sound
Frequency Calculator
Frequency from period or from wave speed and wavelength — in hertz, with the period in seconds.
f = 1 / T
Also called frequency formula · f = 1/t
Waves & Sound
Wave Speed Calculator
Wave speed from frequency and wavelength (v = fλ) for any type of wave.
v = f × λ
Also called speed of wave · v = f lambda
Waves & Sound
Period Calculator
Wave or oscillation period from frequency (T = 1/f), plus angular frequency.
T = 1 / f
Also called period of wave · oscillation period
Waves & Sound
Sound Intensity Calculator
Sound intensity level in decibels from intensity or power, and how it falls with distance.
L = 10·log₁₀(I / 10⁻¹²)
Also called sound level · db from intensity
Waves & Sound
Decibel Calculator
Add decibel levels, convert between power/amplitude ratios and dB, and compare two sound levels.
L_total = 10·log₁₀(10^(L₁/10) + 10^(L₂/10…
Also called db calculator · add decibels
Waves & Sound
Doppler Effect Calculator
Observed frequency when a source or observer is moving — the Doppler shift for sound.
f' = f (c + v_observer) / (c − v_source)
Also called doppler shift · frequency shift
Waves & Sound
Resonance Frequency Calculator
Resonant frequencies and harmonics of a string, open pipe or closed pipe.
Open: fₙ = n·v/2L
Also called harmonic frequency · standing wave calculator
Waves & Sound
Sound Distance Calculator
Distance to a sound source from the delay between seeing and hearing it — lightning, fireworks or echoes.
distance = speed of sound × delay, c ≈ 33…
Also called lightning distance calculator · how far is the storm
Waves & Sound
Echo Time Calculator
Time for an echo to return from a surface, or the distance to the wall from the echo delay.
distance = speed × delay ÷ 2
Also called echo distance · sonar calculator
Key waves & sound formulas
| Wavelength | λ = v / f |
|---|---|
| Frequency | f = 1 / T |
| Wave Speed | v = f × λ |
| Period | T = 1 / f · ω = 2πf |
| Sound Intensity | L = 10·log₁₀(I / 10⁻¹²) · I ∝ 1/r² |
| Decibel | L_total = 10·log₁₀(10^(L₁/10) + 10^(L₂/10)) |
| Doppler Effect | f' = f (c + v_observer) / (c − v_source) |
| Resonance Frequency | Open: fₙ = n·v/2L · Closed: fₙ = n·v/4L (odd n only) |
| Sound Distance | distance = speed of sound × delay, c ≈ 331.3 + 0.606 × T(°C) |
| Echo Time | distance = speed × delay ÷ 2 |