Your answer is partially correct. A Tunable Inclined Plane. You and your team are designing a tunable, single-tone, acoustic emitter. One end of a string is connected to a post on the top of a frictionless inclined plane. The string supports a mass at rest below, on the surface of the plane. The angle of the incline relative to the horizontal (0) is adjustable. The length of the string is L = 34.0 cm, and the mass per unit length of the string is = 5.58 x 10-³ kg/m. (a) When 0 = 19.5°, the plucked string is supposed to emit a fundamental frequency of f = 214 Hz. What value of the mass (M) is needed under these conditions? (b) What is the full frequency range of the device (i.e., by changing the angle)? (c) With the mass calculated in part (a), to what value should you set 0 so that the fundamental frequency is 340 Hz? (a) Number i 37.5 (b) Number i -377.59 (c) Number i 54.17 Units kg Units Units Hz <

Your answer is partially correct. A Tunable Inclined Plane. You and your team are designing a tunable, single-tone, acoustic emitter. One end of a string is connected to a post on the top of a frictionless inclined plane. The string supports a mass at rest below, on the surface of the plane. The angle of the incline relative to the horizontal (0) is adjustable. The length of the string is L = 34.0 cm, and the mass per unit length of the string is = 5.58 x 10-³ kg/m. (a) When 0 = 19.5°, the plucked string is supposed to emit a fundamental frequency of f = 214 Hz. What value of the mass (M) is needed under these conditions? (b) What is the full frequency range of the device (i.e., by changing the angle)? (c) With the mass calculated in part (a), to what value should you set 0 so that the fundamental frequency is 340 Hz? (a) Number i 37.5 (b) Number i -377.59 (c) Number i 54.17 Units kg Units Units Hz <

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter18: Superposition And Standing Waves

Section: Chapter Questions

Problem 38PQ: A barrel organ is shown in Figure P18.38. Such organs are much smaller than traditional organs,...

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To measure her speed, a skydiver carries a buzzer emitting a steady tone at 1 800 Hz. A friend on the ground at the landing site directly below listens to the amplified sound he receives. Assume the air is calm and the speed of sound is independent of altitude. While the skydiver is falling at terminal speed, her friend on the ground receives waves of frequency 2 150 Hz. (a) What is the skydivers speed of descent? (b) What If? Suppose the skydiver can hear the sound of the buzzer reflected from the ground. What frequency does she receive?
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?
Review. A sphere of mass M is supported by a string that passes over a pulley at the end of a horizontal rod of length L (Fig. P14.25). The string makes an angle θ with the rod. The fundamental frequency of standing waves in the portion of the string above the rod is f. Find the mass of the portion of the string above the rod. Figure P14.25 Problems 25 and 26.
A nylon guitar string is fixed between two lab posts 2.00 m apart. The string has a linear mass density of =7.20 g/m and is placed under a tension of 160.00 N. The string is placed next to a tube, open at both ends, of length L. The string is plucked and the tube resonates at the n=3 mode. The speed of sound is 343 m/s. What is the length of the tube?
A barrel organ is shown in Figure P18.38. Such organs are much smaller than traditional organs, allowing them to fit in smaller spaces and even allowing them to be portable. Use the photo to estimate the range in fundamental frequencies produced by the organ pipes in such an instrument. Assume the pipes are open at both ends. How does that range compare to a piano whose strings range in fundamental frequency from 21.7 Hz to 4186.0 Hz? FIGURE P18.38
A steel wire of length 30.0 m and a copper wire of length 20.0 m, both with 1.00-mm diameters, are connected end to end and stretched to a tension of 150 N. During what time interval will a transverse wave travel the entire length of the two wires?
Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a string producing a standing wave. The linear mass density of the string is =0.075 kg/m and the tension in the string is FT=5.00 N. The time interval between instances of total destructive interference is t=0.13 s. What is the wavelength of the waves?
A string is fixed at both end. The mass of the string is 0.0090 kg and the length is 3.00 m. The string is under a tension of 200.00 N. The string is driven by a variable frequency source to produce standing waves on the string. Find the wavelengths and frequency of the first four modes of standing waves.
A cable with a linear density of =0.2 kg/m is hung from telephone poles. The tension in the cable is 500.00 N. The distance between poles is 20 meters. The wind blows across the line, causing the cable resonate. A standing waves pattern is produced that has 4.5 wavelengths between the two poles. The air temperature is T=20C . What are the frequency and wavelength of the hum?
Consider the experimental setup shown below. The length of the string between the string vibrator and the pulley is L=1.00 m. The linear density of the string is =0.006 kg/m. The string vibrator can oscillate at any frequency. The hanging mass is 2.00 kg. (a)What are the wavelength and frequency of n=6 mode? (b) The string oscillates the air around the string. What is the wavelength of the sound if the speed of the sound is vs=343.00 m/s?
Biologists think some spiders “tune” strands of their web to give enhanced response at frequencies corresponding to those at which prey might struggle. Orb spider silk has a typical diameter of 20 µm, and spider silk has a density of 1300 kg/m3. To have a fundamental frequency at 100 Hz, to what tension must a spider adjust a 12 cm long strand of silk?
As shown , water is pumped into a tall, vertical cylinder at a volume flow rate R = 1.00 L/min. The radius of the cylinder is r = 5.00 cm, and at the open top of the cylinder a tuning fork is vibrating with a frequency f = 512 Hz. As the water rises, what time interval elapses between successive resonances?