Part of WAVE-01 — Oscillations & Waves

Definitions Glossary — Waves & SHM

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TermDefinitionSI Unit
Simple Harmonic Motion (SHM)Oscillatory motion where restoring force is proportional to and directed opposite to displacement: F = −kx
Amplitude (A)Maximum displacement from mean position during SHMm
Angular frequency (ω)Rate of change of phase; ω = 2πf = 2π/Trad/s
Time period (T)Time for one complete oscillation; T = 2π/ωs
Frequency (f)Number of oscillations per second; f = 1/THz
Phase (φ)Initial angular displacement in the argument of sin: x = A sin(ωt + φ)rad
Wave number (k)Spatial frequency; k = 2π/λrad/m
Wavelength (λ)Distance between two consecutive points in phase (e.g., crest to crest)m
Progressive waveWave that transfers energy from one region to another without net matter transport
Standing waveSuperposition of two identical waves travelling in opposite directions; energy is localised
NodePoint of zero displacement in a standing wave; occurs at x = nλ/2
AntinodePoint of maximum displacement in a standing wave; occurs at x = (2n+1)λ/4
BeatPeriodic variation in loudness due to superposition of two waves of slightly different frequency
Beat frequencyfbeatf_{beat} =f1f_{1}f2f_{2}
Doppler effectApparent change in frequency due to relative motion between source and observer
Linear mass density (μ)Mass per unit length of a string; μ = mL\frac{m}{L}kg/m
Fundamental frequencyLowest natural frequency of vibration; n = 1 harmonicHz
HarmonicInteger multiple of the fundamental frequencyHz
OvertoneFrequencies above the fundamental; 1st overtone = 2nd harmonic (open); 3rd harmonic (closed)Hz
ResonanceCondition when driving frequency equals natural frequency → amplitude is maximum

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