Calculator Inputs
Example Data Table
| Medium | Temperature | Humidity | Frequency | Wavelength | Speed |
|---|---|---|---|---|---|
| Air | 20 °C | 50% | 440 Hz | 0.782 m | 344.04 m/s |
| Fresh Water | 20 °C | — | 1000 Hz | 1.482 m | 1482 m/s |
| Steel | 25 °C | — | 5000 Hz | 1.192 m | 5960 m/s |
| Helium | 20 °C | — | 2000 Hz | 0.504 m | 1007 m/s |
| Hydrogen | 20 °C | — | 4000 Hz | 0.321 m | 1284 m/s |
These rows show sample values only. Actual results depend on the mode, units, temperature, humidity, and chosen medium.
Formula Used
Core wave equation:
v = f × λ
Rearranged forms:
Frequency: f = v / λ
Wavelength: λ = v / f
Speed: v = f × λ
Air speed approximation:
v = 331.3 + 0.606T + 0.0124RH
Additional derived values:
Period: T = 1 / f
Angular frequency: ω = 2πf
Wave number: k = 2π / λ
How to Use This Calculator
- Choose whether you want to find wavelength, frequency, or sound speed.
- Select the propagation medium or choose custom speed.
- Enter temperature and humidity if air is your medium.
- Fill in the known wave values and their units.
- Set the number of decimals you want in the output.
- Press Calculate Now to show the result above the form.
- Review the results table, graph, and notes for deeper analysis.
- Use the export buttons to save the output as CSV or PDF.
Frequently Asked Questions
1. What relationship connects sound speed, frequency, and wavelength?
They follow the wave equation v = f × λ. If you know any two values, the third can be calculated directly.
2. Why does wavelength change when frequency changes?
At a fixed sound speed, wavelength is inversely proportional to frequency. Higher frequency means a shorter wavelength.
3. Does sound travel at the same speed in every medium?
No. Sound speed depends strongly on the medium. It travels much faster in many solids than in gases.
4. Why are temperature and humidity included?
In air, sound speed changes with environmental conditions. Higher temperature usually increases speed, and humidity adds a smaller adjustment.
5. What is the audible frequency range for humans?
A typical human hearing range is about 20 Hz to 20,000 Hz. Lower values are infrasonic, and higher values are ultrasonic.
6. When should I use custom speed?
Use custom speed when you already know the wave speed from experiments, material data, or a special environment not listed.
7. What does the Plotly graph show?
It plots wavelength against frequency for the calculated speed. The highlighted point marks your computed or entered wave condition.
8. Can I use this for classroom and lab work?
Yes. It is useful for physics homework, acoustics demonstrations, material comparisons, and quick validation of measured wave data.