Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 16, Problem 56P
To determine
The length of pipes for different diameter.
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A violin string of ?=31.8 cm in length and ?=0.64gm⁄ linear mass density is tuned to play an A4 note at 440.0 Hz. This means that the string is in its fundamental oscillation mode, i.e., it will be on that note without placing any fingers on it. From this information,
Calculate the tension on the string that allows it to be kept in tune.
A sound wave in an unknown fluid medium takes 580 μs to travel 3.00 m. What is the bulk modulus of the fluid, if the density is 4.30 x 103 kg/m3? A 1μs is 1 x 10-6s.
A pipe of air closed at one end is measured to have a fundamental frequency of 583 Hz on a 20.0 ◦C day. The pipe is then filled with water. What is the frequency of the second overtone? Recall that the speed of sound in water is 1480 m/s. Focus on the formula used please, thanks in advance.
Chapter 16 Solutions
Physics for Scientists and Engineers
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- A pipe is observed to have a fundamental frequency of 345 Hz. Assume the pipe is filled with air (v = 343 m/s). What is the length of the pipe if the pipe is a. closed at one end and b. open at both ends?arrow_forwardAt t = 0, a transverse pulse in a wire is described by the function y=6.00x2+3.00 where xand y are in meters. If the pulse is traveling in the positive x direction with a speed of 4.50 m/s, write the function y(x, t) that describes this pulse.arrow_forward(a) Find the length of an organ pipe closed at one end that produces a fundamental frequency of 256 Hz when air temperature is 18.0°C. (b) What is its fundamental frequency at 25.0°C?arrow_forward
- Loudness (L), in decibles (dB), of a sound of intensity I is defined to be L=10log( I/I0), where I0=10-12(W/M2) (watts per meter square) is the minimum intensity detectable by the human ear. A.) Find the loudness L, in decibles (dB), of a trombone given the intensity is 1010I0 B.) Find the intensity of a rock concert whose loudness is 115 decibles. C.) What is the NIOSH recommended Exposure Limit (REL) given in dB based on exposures at work 5 days per week?arrow_forwardTwo strings, A and B, have respective mass densities A and py respectively. The linear mass density, Hp. of string-B is nine times that of string-A (H = 9). If both strings have the same fundamental frequency when kept at the same tension, then the ratio of their lengths L/LA is equal to: O 1/3 1/9 O 3 9.arrow_forwardSound is detected when a sound wave causes the tympanic membrane (the ear drum) to vibrate. Typically, the diameter of this membrane is about 8.4 mm in humans. A) how much energy is delivered to the eardrum each second when someone whispers (20 dB) into your ear? B) to comprehend how sensitive the ear is to very small amounts of energy, calculate how fast a typical 2.0 mg mosquito would have to fly (in mm/s) to have this amount of kinetic energy.arrow_forward
- Sound level B in decibels is defined as () B = 10 log 1 x 10-12 w/m². The decibel where Io scale intensity for busy traffic is 83 dB. Two people having a loud conversation have a deci- bel intensity of 70 dB. What is the approximate combined sound intensity? Answer in units of W/m2.arrow_forwardA stretched string of length 84.0 cm vibrates in its mth mode. The separation distance from node to antinode is 6.00 cm. Take m=1 to denote the fundamental node, m=2 the first harmonic, and so on. What is the value of m?arrow_forwardA musical instrument that has a tube closed at one end has a length of 31.5 cm long. On a particularly warm day when the temperature was recorded at 34.6ºC, a 2nd overtone was established. What was the frequency, in Hz, of the note for this situation? An accurate sketch of the standing wave is needed.arrow_forward
- A violin string ? = 31.6 cm long and ? = 0.65 g⁄m linear mass density is tuned to play a La4 note at 440.0 Hz. This means that the string is at its fundamental oscillation mode, that is, you will be on that note without placing a finger on it. From this information: B. If the midpoint of the chord is displaced 1.80 mm transversely when found in the fundamental mode, what is the maximum speed ??á? of the midpoint of string?arrow_forwardA 49.4-Hz sound wave is barely audible at a sound intensity level of 60.0 dB. The density of air at 20.0°C is 1.20 kg/m3. Speed of sound in air at 20.0°C is 343 m/s. What is the displacement amplitude of a 49.4-Hz sound wave? Answer in ____ n/m.arrow_forwardStanding waves are formed inside a cylindrical tube with one end closed and the other end open to air. The first resonance occurs at a frequency of 354 Hz. What is the length of the tube in meters? Answer:arrow_forward
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