# Lecture22 - PHYSICS 231 INTRODUCTORY PHYSICS I Lecture 22...

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PHYSICS 231 INTRODUCTORY PHYSICS I Lecture 22

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Simple Pendulum Traveling Waves Longitudinal, Transverse Sinusoidal wave Speed, frequency, wavelength Last Lecture ϖ= g L q = q max cos( wt - f ) y = Αχοσ 2π ξ λ μ φτ -φ v = φλ
Speed of a Wave in a Vibrating String T is tension. Pitch = frequency: v = Τ μ ϖηερε μ = Λ f = v l = 1 l T m

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Example 13.9 A string is tied tightly between points A and B as a communication device. If one wants to double the wave speed, one could: a) Double the tension b) Quadruple the tension c) Use a string with half the mass d) Use a string with double the mass e) Use a string with quadruple the mass
Superposition Principle Traveling waves can pass through each other without being altered. y ( x , t ) = ψ 1 (ξ,τ 29 + ψ 2 (ξ,τ 29

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Reflection – Fixed End Reflected wave is inverted
Reflection – Free End Reflected pulse not inverted

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Chapter 14 Sound
Sound Waves Sound is longitudinal pressure (compression) waves  Range of hearing: 20 Hz to 20,000 Hz FREQUENCY DEMO

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Speed of Sound Liquids and Gases: B is bulk modulus, ρ is mass/volume Solids: Y is Young’s modulus 331 m/s is v at 0° C; T is the absolute temperature. v = Β ρ v = Ψ v air = (331 μ σ 29 Τ 273 Κ
John Brown hits a steel railroad rail with a hammer. Betsy Brown, standing one mile down the track, hears the bang through the cool 32 ° F air while her twin sister Boopsie is lying next to her and hears the bang through the steel by placing her ear on the track. What is the time difference between the moments when

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## This note was uploaded on 07/25/2008 for the course PHY 231 taught by Professor Smith during the Spring '08 term at Michigan State University.

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Lecture22 - PHYSICS 231 INTRODUCTORY PHYSICS I Lecture 22...

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