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Lesson_5.2b_Printable - Worked examples on Wave Motion...

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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 3. 2 E A x μ ϖ = Energy propagated by a 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
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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 ms -1 v = f λ v f λ = -1 -1 12 ms 60 s = = 0.2 m 2
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Example 2 The wavelength of violet light is 7.0 x 10 -7 m. If the speed of light is 3.0 x 10 8 ms -1 , what is the frequency of violet light? λ = 7.0 x 10 -7 m v = 3 × 10 8 ms -1 The wave equation v = f λ is applicable to any form of wave motion including electromagnetic waves v = f λ v f λ = 8 -1 7 3 10 ms 7 10 m - × = × = 4.29 × 10 14 Hz 3
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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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