Problem 1 An effective sound pressure value of 0.04 N/m² is determined in a progressive plane wave.How high is the particle velocity of the sound (at gọc= 400 kg/sm²), the particle displacement at the frequencies 100 Hz and 1000 H z, the sound intensity,
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- A string of mass 8 grams is stretched to a length of 0.3 meters and fastened at both end so that it can freely vibrate. The tension on the string is 1400 Newtons. What is the linear density of the string? kg/m At what speed would a wave propagate on this string? m/s What is the wavelength of the first harmonic (also called the fundamental frequency) of standing wave created by the vibrating string? m What is the fundamental frequency of the vibrating string? HzThe Wanamaker Pipe Organ in Macy's Center City department store in Philadelphia is the largest working pipe organ in the world. The organ occupies a seven- story hall, and has the longest pipe length of 9.75 m that occupies four floors and can be used as either an open or a closed pipe. Assume that the speed of sound is 345 m/s. a. Calculate the lowest fundamental frequency for the Wanamaker Pipe Organ. b. The highest note on an 88-key piano is 4186 Hz. What would be the length of a pipe open on one end that produced this as a fundamental frequency?Problem 1: The figure below shows four identical point sources of sound that are uniformly spaced on an x-axis. Sq d- d S3 d S4 P The sources emit sound at the same wavelength X and same amplitude A, and they emit in phase. A point P is shown on the x axis. Assume that as the sound waves travel to P, the decrease in their amplitude is negligible. What multiple of A is the amplitude of the net wave at P if distance d in the figure is (a) X/4, (b) A/2, and (c) X?
- 0.0058 kg/m is fixed at both ends. A 5.0-kg mass is hung from A string with a linear mass density of the string, as shown. If a pulse is sent along section A, what is the wave speed in section A and the wave speed in section B? %D B. A FA 35° 5 kg Image Description VA m/s VB = m/s B.Problem 2Given: A wave of 0.3 m wave height and period 1.3 seconds is generated in a wave tank. The wave tank is 90 m. long, 3 m wide, and 3 m deep and filled with fresh water to a depth of 1.5 m. The density of water is 997 kg/m3.Evaluate the water particle velocity and acceleration at the crest of the wave at still water level (SWL).Chapter 17, Problem 020 The figure shows four isotropic point sources of sound that are uniformly spaced on an x axis. The sources emit sound at the same wavelength and same amplitude sm, and they emit in phase. A point P is shown on the x axis. Assume that as the sound waves travel to P, the decrease in their amplitude is negligible. What multiple of sm is the amplitude of the net wave at P if distance d in the figure is (a)1A, (b)2, and (c)4/? (a) Number (b) Number (c) Number Units Units Units S₁ Sa Sa + S₁
- A thin 3.0-m metal rod sustains a longitudinal standing wave with vibration antinodes at each end of the rod. There are no other antinodes. The density and Young's modulus of this metal are, respectively, 4700 kg/m3 and 4.1x1010 N/m?. What is the frequency of the rod's vibration? Number i UnitsAW-1 A standing wave on a string is produced by two waves which travel along the string in opposite directions. The displacements of the two component waves are given by the functions shown below, where all quantities are in SI units. D₁(x, t) = (0.10)sin(4.0x – 9.5t) and D₂(x, t) = (0.10)sin(4.0x + 9.5t) a) Find the function that describes the overall standing wave. This will be the total displacement of the two component waves, D₁(x, t) = D₁(x,t)+D₂(x,t) b) What is the amplitude of the standing wave, in meters? c) What is the wavelength of the standing wave, in meters? d) What is the frequency of the standing wave, in Hz? What is the speed of each component wave, in m/s?18. A sound wave s(r, t) = sm Cos(ka – wt +o) travels at 343 m/s through air in a long horizontal tube. At one instant, air molecule A at r = 2.00 m is at its maximum positive displacement of 6.0 nm and air molecule B at r = a positive displacement of 1.5 nm. All the molecules between A and B arc at intermediate displacements. What is the 2.05 m is at frequency of the wave? (1) 1400 Hz (2) 1300 Hz (3) 1200 Hz (4) 1100 Hz (5) 1000 Hz