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WAVES
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A Wave is the motion of a disturbance…
Almost all waves require a medium through which to travel **Mechanical Waves**
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*Medium does NOT move with wave
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Transverse Wave Particles in the disturbed medium move perpendicular to the motion of the wave Motion of duck/water Motion of wave
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Longitudinal Wave Particles of the medium vibrate parallel to the direction of the wave motion. Example: Sound Waves
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Parts of a Transverse Wave
Wavelength – the distance between two adjacent similar points of a wave Amplitude – maximum displacement from equilibrium Crest – highest points above the equilibrium position Trough – the lowest point below the equilibrium position
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V = f * λ Wave Speed V = wave speed (m/s) f = frequency (Hz)
λ = wavelength (m)
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Interference – Superposition of Waves
Constructive Destructive
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Standing Wave Resultant wave pattern that appears to be stationary on the string Consists of alternating regions of constructive and destructive interference.
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Standing Waves A wave pattern that results when two waves of the same frequency, wave length and amplitude travel in opposite directions and interfere Node – where complete destructive interference happens Antinode – where complete constructive interference happens
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Harmonics Vibrating Strings produce Standing Waves
*Frequency of Vibration of an object is called its Fundamental Frequency Multiples of the fundamental frequency are called Harmonics
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Harmonics depend on how many nodes are present in the standing wave.
n = # of nodes - 1 f = n * v n = 1, 2, 3…. 2L λ= 2L/n F = frequency (Hz) λ= wavelength (m) n = harmonic number v = wave speed (m/s) L = length of vibrating string (m)
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