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Unformatted text preview: Worked examples on Wave Motion Recall important equations in wave motion 1. v = f λ Wave speed, frequency and wavelength. 2. T v μ = Speed of transverse waves on a stretched string. 2 2 1 . A x = ∆ Energy propagated by a 3. 2 E A x μ ϖ ∆ = ∆ vibrating string of length ∆ x 2 2 1 4. 2 P A v μ ϖ = Power transmitted by a wave of speed v , amplitude A and angular frequency ϖ in a string of linear density μ 1 Example 1 One end of a string 6.0m long is moved up and down with simple harmonic motion at a frequency of 60 Hz. The wave reaches the other end of the string in 0.5 s. What is the wavelength of the wave in the string? ∆ x = 6.0 m, f = 60 Hz, ∆ t = 0.5 s The wave travels the length of the string in 0.5 s. Wave speed v x t ∆ = ∆ 6.0 m 0.5 s = = 12 ms1 v = f λ v f λ =11 12 ms 60 s = = 0.2 m 2 Example 2 The wavelength of violet light is 7.0 x 107 m. If the speed of light is 3.0 x 10 8 ms1 , what is the frequency of violet light? λ = 7.0 x 107 m v = 3 × 10 8 ms1 The wave equation v = f λ is applicable to any form of wave motion including electromagnetic waves v = f λ v f λ = 81 7 3 10 ms 7 10 m × = × = 4.29 × 10 14 Hz 3 Example 3 A steel wire is 7.0 m long and has a mass of 100 g. It is under tension of 900 N. What is the speed of transverse wave pulse on this wire?...
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This note was uploaded on 05/01/2011 for the course PHY 2048 taught by Professor George during the Fall '10 term at Edison State College.
 Fall '10
 George
 Physics, Energy, Power, Work

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