No chatgpt pls will upvote Current Attempt in ProgressThe note that is three octaves above middle C is supposed to have a fundamental frequency of 2093 Hz. On a certain piano the steelwire that produces this note has a cross-sectional area of 8.41 x 107 m2. The wire is stretched between two pegs. When the piano istuned properly to produce the correct frequency at 25.0 °C, the wire is under a tension of 888.7 N. Suppose the temperature drops to20.0 °C. In addition, as an approximation, assume that the wire is kept from contracting as the temperature drops. Consequenctly, thetension in the wire changes. What beat frequency is produced when this piano and another instrument (properly tuned) sound thenote simultaneously? Steel's coefficient of linear expansion is 12 x 106 (Co)-1 and its Young's modulus is 2x 1011 N/m²Number iUnits

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Answered: Current Attempt in Progress The note…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter14: Superposition And Standing Waves

Section: Chapter Questions

Problem 31P

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A copper wire has a radius of 200 µ m and a length of 5.0 m. The wire is placed under a tension of 3000 N and the wire stretches by a small amount. The wire is plucked and a pulse travels down the wire. What is the propagation speed of the pulse? (Assume the temperature does not change: (=8.96gcm3,Y=1.11011Nm) .)
A clock with a brass pendulum has a period of 1.000 s at 20.0C. If the temperature increases to 30.0C, (a) by how much does the period change and (b) how much time does the clock gain or lose in one week?
Review. As a sound wave passes through a gas, the compressions are either so rapid or so far apart that thermal conduction is prevented by a negligible time interval or by effective thickness of insulation. The compressions and rarefactions are adiabatic. (a) Show that the speed of sound in an ideal gas is v=RTM where M is the molar mass. The speed of sound in a gas is given by Equation 16.35; use that equation and the definition of the bulk modulus from Section 12.4. (b) Compute the theoretical speed of sound in air at 20.0C and state how it compares with the value in Table 16.1. Take M = 28.9 g/mol. (c) Show that the speed of sound in an ideal gas is v=kBTm0 where m0 is the mass of one molecule. (d) Slate how the result in part (c) compares with the most probable, average, and rms molecular speeds.
As shown in Figure P14.37, water is pumped into a tall, vertical cylinder at a volume flow rate R. The radius of the cylinder is r, and at the open top of the cylinder a tuning fork is vibrating with a frequency f. As the water rises, what time interval elapses between successive resonances? Figure P14.37 Problems 37 and 38.
Review. A steel guitar string with a diameter of 1.00 mm is stretched between supports 80.0 cm apart. The temperature is 0.0C. (a) Find the mass per unit length of this siring. (Use the value 7.86 103 kg/m4 for the density.) (b) The fundamental frequency of transverse oscillations of the string is 200 Hz. What is the tension in the string? Next, the temperature is raised to 30.0C. Find the resulting values of (c) the tension and (d) the fundamental frequency. Assume both the Youngs modulus of 20.0 1010 N/m2 and the average coefficient of expansion = 11.0 10-6 (C)-1 have constant values between 0.0C and 30.0C.
Table 17.1 shows the speed of sound is typically an order of magnitude larger in solids than in gases. To what can this higher value be most directly attributed? (a) the difference in density between solids and gases (b) the difference in compressibility between solids and gases (c) the limited size of a solid object compared to a free gas (d) the impossibility of holding a gas under significant tension
In about 1657, Otto von Guericke, inventor of the air pump, evacuated a sphere made of two brass hemispheres (Fig. P15.62). Two teams of eight horses each could pull the hemispheres apart only on some trials and then with greatest difficulty, with the resulting sound likened to a cannon firing. Find the force F required to pull the thin-walled evacuated hemispheres apart in terms of R, the radius of the hemispheres; P, the pressure inside the hemispheres; and atmospheric pressure P0. Figure P15.62
Assume that a pendulum used to drive a grandfather clock has a length L0=1.00 m and a mass M at temperature T=20.00 °C. It can be modeled as a physical pendulum as a rod oscillating around one end. By what percentage will the period change if the temperature increases by 10°C? Assume the length of the rod changes linearly with temperature, where L=L0(1+T) and the rod is made of (=18106C1) .
Some studies suggest that the upper frequency limit of hearing is determined by the diameter of the eardrum. The wavelength of the sound wave and the diameter of the eardrum are approximately equal at this upper limit. If the relationship holds exactly, what is the diameter of the eardrum of a person capable of hearing 20 000 Hz? (Assume a body temperature of 37.0C.)
A dolphin (Fig. P17.7) in seawater at a temperature of 25C emits a sound wave directed toward the ocean floor 150 m below. How much time passes before it hears an echo?
The area of a typical eardrum is about 5.00 X 10-5 m2. (a) (Calculate the average sound power incident on an eardrum at the threshold of pain, which corresponds to an intensity of 1.00 W/m2. (b) How much energy is transferred to the eardrum exposed to this sound lor 1.00 mill?
A crude approximation of voice production is to consider the breathing passages and mouth to be a resonating tube closed at one end. (a) What is the fundamental frequency if the tube is 0.240 m long, by taking air temperature to be 37.0°C ? (b) What would this frequency become if the person replaced the air with helium? Assume the same temperature dependence for helium as for air.

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