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Oscillations & waves formulas
16 formulas for Oscillations & waves, from the Physics — Formulas section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| SHM displacement | x = A sin(ωt + φ) 🧮 Solve step by step | |
| SHM velocity / acceleration | v = ω√(A² − x²); a = −ω²x 🧮 Solve step by step | |
| Angular frequency | ω = 2πf = 2π/T 🧮 Solve step by step | rad/s |
| Spring–mass period | T = 2π√(m/k) 🧮 Solve step by step | s |
| Simple pendulum | T = 2π√(L/g) 🧮 Solve step by step | s |
| SHM energy | E = ½kA² = ½mω²A² 🧮 Solve step by step | J |
| Wave speed | v = fλ 🧮 Solve step by step | m/s |
| Wave equation | y = A sin(kx − ωt); k = 2π/λ 🧮 Solve step by step | |
| Speed on a string | v = √(T/μ) 🧮 Solve step by step | μ mass per length |
| Speed of sound (gas) | v = √(γP/ρ) 🧮 Solve step by step | |
| Standing waves — string | fₙ = nv/2L 🧮 Solve step by step | |
| Open pipe | fₙ = nv/2L 🧮 Solve step by step | n = 1, 2, 3 … |
| Closed pipe | fₙ = nv/4L 🧮 Solve step by step | n = 1, 3, 5 … |
| Beats | f_beat = |f₁ − f₂| | Hz |
| Doppler effect | f′ = f (v ± v₀)/(v ∓ vₛ) | upper signs: approaching |
| Sound intensity level | β = 10 log₁₀(I/I₀) dB, I₀ = 10⁻¹² W/m² |
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