A sound wave is propagating in a very long tunnel. The wave can be described by...
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A sound wave is propagating in a very long tunnel. The wave can be described by the equation: y(x, t) = 0.19 mm x sin 1634.3 km where x is coordinate that describe the location of the tunnel, t is the time, y(x, t) describe the air displacement at location x and time t. Here 1 km = 10m and 1 mm: 10- m. = t (2x +0 2x+0.654 km-+423.2 km km)) Note: = 3.1415926, and sin 0 = 0, sin = 1, sin = 0, where 1 rad is 180. Please keep at least 3 digits after the first non-zero digit for your final answer, and include proper unit. Part A (1pt) What is the direction of the sound wave (whether propagator to the +x or -x direction)? Part B (1pt) What is the speed of this sound wave v? Part C (1pt) What is the wave length of this sound wave ? Part D (1pt) What is the frequency of this sound wave f? Part E (1pt) Alice is standing inside the tunnel at x = 1.3 km. How long (St) does it take for one complete wave pattern to go past her? Part F (2pt) Bob is running inside the tunnel towards Alice with initial position xg (t = 0) = 2.3 km, and speed VB = 8.3 m/s. How long (8t) does it take for one complete wave pattern to go past him? Part G (2pt) What is the frequency (fB) of sound that Bob hears? Part H (1pt) When Bob reaches Alices, who hears higher frequency? A sound wave is propagating in a very long tunnel. The wave can be described by the equation: y(x, t) = 0.19 mm x sin 1634.3 km where x is coordinate that describe the location of the tunnel, t is the time, y(x, t) describe the air displacement at location x and time t. Here 1 km = 10m and 1 mm: 10- m. = t (2x +0 2x+0.654 km-+423.2 km km)) Note: = 3.1415926, and sin 0 = 0, sin = 1, sin = 0, where 1 rad is 180. Please keep at least 3 digits after the first non-zero digit for your final answer, and include proper unit. Part A (1pt) What is the direction of the sound wave (whether propagator to the +x or -x direction)? Part B (1pt) What is the speed of this sound wave v? Part C (1pt) What is the wave length of this sound wave ? Part D (1pt) What is the frequency of this sound wave f? Part E (1pt) Alice is standing inside the tunnel at x = 1.3 km. How long (St) does it take for one complete wave pattern to go past her? Part F (2pt) Bob is running inside the tunnel towards Alice with initial position xg (t = 0) = 2.3 km, and speed VB = 8.3 m/s. How long (8t) does it take for one complete wave pattern to go past him? Part G (2pt) What is the frequency (fB) of sound that Bob hears? Part H (1pt) When Bob reaches Alices, who hears higher frequency?
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Exploring Engineering An Introduction to Engineering and Design
ISBN: 978-0123747235
2nd edition
Authors: Philip Kosky, George Wise, Robert Balmer, William Keat
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