Waves formulas

17 relations, each one a node in the derivation graph. Every symbol carries a declared base dimension, so every one of them can be checked.

• Acoustic Impedance — Z = rho·v
• Angular Frequency From Frequency — omega = 2·pi·f
• Beat Frequency — f_beat = abs(f1 - f2)
• Doppler Effect (Sound) — f' = f·(c + v_r)/(c + v_s)
• Doppler Effect For A Moving Observer — f' = f·(v + v_o) / v
• Doppler Effect For A Moving Source — f' = f·v / (v - v_s)
• Frequency From Period — f = 1 / T
• Point Source Intensity — I = P/(4·π·r^2)
• Closed Pipe Harmonic Frequency — f = n·v / (4·L)
• Open Pipe Harmonic Frequency — f = n·v / (2·L)
• Radiation Pressure — P_rad = I/c
• Snell's Law — n1·sin(θ1) = n2·sin(θ2)
• Sound Intensity Level (dB) — β = 10·log10(I/I0)
• Standing Wave Harmonic On A String — f = n·v / (2·L)
• Wave Equation (1D) — u_tt = v^2·u_xx
• Wave Speed — v = f·λ
• Wave Speed On A String — v = sqrt(T / mu)

Derive through any of them in the explorer — no account needed.