Lecture 10 - Physics 040B/001-S08 Chap 16;1-3 Sound Waves...

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March 6, 2008 Physics 40B Lecture 10 1 Physics 040B/001-S08 Chap. 16;1-3 Sound Waves Review Harmonic (Sinusoidal) Traveling Wave y ( x , t ) = A cos( kx "# t ) = A cos 2 $ x % " 2 t T ( ) * + v = # k = T = f v = F μ Velocity of Traveling Wave on String/Wire P = dW dt = 1 2 ! 2 A 2 v Power Transmitted by Harmonic Traveling Wave 1.5 to 20 minute periods detected
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March 6, 2008 Physics 40B Lecture 10 2 • Superposition of Harmonic Waves in Same Direction- Traveling Wave Constructive Interference: φ = n π n even Destructive Interference: = n n odd ! = 2 " # x $ = n % # x = n 2 n even for constructive, n odd for destructive • Superposition of Harmonic Waves in Opposite Directions- Standing Wave Nodes: y = 0 kx = n n = 0, 1, 2, 3 . .. x n = n k = n 2 Anti-nodes: max amplitude kx = n /2 n = 1, 3, 5, odd x n = n 2 k = n 4 • Standing Waves on String Fastened at Both Ends-Boundary Conditions Nodes at x = 0 and x = L ( L is length of string, F is tension) Allowed ("quantized" ): n
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This note was uploaded on 06/18/2008 for the course PHYS 40c taught by Professor Allenzych during the Spring '08 term at UC Riverside.

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Lecture 10 - Physics 040B/001-S08 Chap 16;1-3 Sound Waves...

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