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In-class problems 2 Solutions

# In-class problems 2 Solutions - speed will the wave travel...

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Name Student ID Section In-Class Problem, Week 3 15 April 2008 Show ALL your work, Total Points Possible = 7 1. A wave is described by y = (3 . 31 cm ) sin( π 6 x - 3 π 2 t ), where x is in meters, and t is in seconds. Determine the amplitude, wavelength, frequency, period, and speed of the wave. (5 points) A = 3.31 cm = 0.0331 m (1 pt) λ = 2 π k = 2 π 6 π = 12 m (1 pt) f = ω 2 π = 3 π 2 1 2 π = 3 4 s (1 pt) T = 1 f = 2 π ω = 4 3 s (1 pt) v = λf = 2 π k ω 2 π = ω k = 3 π 2 6 π = 9 m/s ( v = λf = 12 m ( 3 4 s ) = 9 m/s) (1 pt) 2. Transverse waves travel with a speed of 16.2 m/s in a string under a tension of 5.83 N. What
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Unformatted text preview: speed will the wave travel if the tension of the same string is changed to 18.7 N? (2 points) μ = T v 2 ⇒ T 1 v 2 1 = T 2 v 2 2 v 2 2 = T 2 T 1 v 2 1 (1 pt) v 2 = q ( 18 . 7 5 . 83 )(16 . 2 m/s ) 2 = 29 . 0 m/s (1 pt) Some possibly useful equations: y = A sin( kx-ωt ) v = λf = λ T k = 2 π λ f = ω 2 π = 1 T v = q T μ m = μL 1...
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