Harmonic Wave Equation Calculator

Evaluate y = A·sin(kx − ωt) for a travelling wave.

Amplitude

Wave number k (rad/m)

Position x

Angular frequency ω (rad/s)

Time t

Displacement y 0.4794

Formula: y = A·sin(kx − ωt)

Step-by-step with your numbers:

1. Values used:

2. Amplitude = 1

3. Wave number k = 2 rad/m

4. Position x = 1

5. Angular frequency ω = 3 rad/s

6. Time t = 0.5

8. Displacement y = 0.4794

Did we solve your problem today?

The harmonic wave equation gives the displacement of a travelling wave at any point and time.

The math behind it

y = A·sin(kx − ωt). The wave number k = 2π/λ and angular frequency ω = 2πf set the spatial and temporal periods.

A = 1, k = 2, x = 1, ω = 3, t = 0.5 → sin(0.5) ≈ 0.479.

Which way does the wave travel?

The (kx − ωt) form travels in the +x direction.