How to use the wave energy and intensity calculator
Find power carried by a wave on a string. Enter linear density, angular frequency, amplitude, wave speed in the fields above; the average power is computed instantly and plotted on the chart so you can see how the answer changes.
Formula
Variables
- mu — Linear density (g/m)
- w — Angular frequency (rad/s)
- A — Amplitude (mm)
- v — Wave speed (m/s)
Worked example
With linear density = 10 g/m, angular frequency = 100 rad/s, amplitude = 5 mm, wave speed = 20 m/s, the calculator gives average power ≈ 0.025 W.
Frequently asked questions
What is the formula for the wave energy and intensity calculation?
Average power (W) = 0.5 × (mu / 1000) × w × w × (A / 1000)^2 × v. Here mu is linear density (g/m), w is angular frequency (rad/s), A is amplitude (mm), v is wave speed (m/s).
What inputs do I need for the wave energy and intensity calculator?
You need linear density in g/m, angular frequency in rad/s, amplitude in mm, wave speed in m/s. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use this calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.