As the tension in a string decreases, what happens to the speed of waves passing through the string? ---Select---

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Answered: As the tension in a string decreases,…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter17: Physics Of Hearing

Section: Chapter Questions

Problem 9CQ: You are given two wind instruments of identical length. One is open at both ends, whereas the other...

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The wave is a particular type of pulse that can propagate through a large crowd gathered at a sports arena (Fig. P16.4). The elements of the medium are the spectators, with zero position corresponding to their being seated and maximum position corresponding to their standing and raising their arms. When a large fraction of the spectators participates in the wave motion, a somewhat stable pulse shape can develop. The wave speed depends on peoples reaction time, which is typically on the order of 0.1 s. Estimate the order of magnitude, in minutes, of the time interval required for such a pulse to make one circuit around a large sports stadium. State the quantities you measure or estimate and their values.
When all the strings on a guitar (Fig. OQ16.5) are stretched to the same tension, will the speed of a wave along the most massive bass string be (a) faster, (b) slower, or (c) the same as the speed of a wave on the lighter strings? Alternatively, (d) is the speed on the bass string not necessarily any of these answers?
Review. A block of mass M = 0.450 kg is attached to one end of a cord of mass m = 0.003 20 kg: the other end of the cord is attached to a fixed point. the block rotates with constant angular speed = 10.0 rad/s in a circle on a frictionless, horizontal table as shown in Figure p16.55. What time interval is required for a transverse wave to travel along the string from the center of the circle to the block?
A swimmer in the ocean observes one day that the ocean surface waves are periodic and resemble a sine wave. The swimmer estimates that the vertical distance between the crest and the trough of each wave is approximately 0.45 m, and the distance between each crest is approximately 1.8 m. The swimmer counts that 12 waves pass every two minutes. Determine the simple harmonic wave function that would describes these waves.
The mating call of a male cicada is among the loudest noises in the insect world, reaching decibel levels of 105 dB at a distance of 1.00 m from the insect. (a) Calculate the corresponding sound intensity. (b) Calculate the sound intensity at a distance of 20.0 m from the insect, assuming the sound propagates as a spherical wave. (c) Calculate the decibel level at a distance of 20.0 m from 100 male cicadas each producing the same sound intensity.
Review. A light string with a mass per unit length of 8.00 g/m has its ends tied to two walls separated by a distance equal to three-fourths the length of the string (Fig. P13.18). An object of mass m is suspended from the center of the string, putting a tension in the string. (a) Find an expression for the transverse wave speed in the string as a function of the mass of the hanging object. (b) What should be the mass of the object suspended from the string if the wave speed is to be 60.0 m/s? Figure P13.18
Review. A block of mass M, supported by a string, rests on a frictionless incline making an angle with the horizontal (Fig. P13.50). The length of the string is L, and its mass is m M. Derive an expression for the time interval required for a transverse wave to travel from one end of the string to the other. Figure P13.50
In a region far from the epicenter of an earthquake, a seismic wave can be modeled as transporting energy in a single direction without absorption, just as a string wave does. Suppose the seismic wave moves from granite into mudfill with similar density but with a much smaller bulk modulus. Assume the speed of the wave gradually drops by a factor of 25.0, with negligible reflection of the wave. (a) Explain whether the amplitude of the ground shaking will increase or decrease. (b) Does it change by a predictable factor? (This phenomenon led to the collapse of part of the Nimitz Freeway in Oakland, California, during the Loma Prieta earthquake of 1989.)
Electrical power lines connected by two utility poles are sometimes heard to hum when driven into oscillation by the wind. The speed of the waves on the power lines depend on the tension. What provides the tension in the power lines?
The intensity of a sound wave at a fixed distance from a speaker vibrating at a frequency f is I. (a) Determine the intensity that results if the frequency is increased to f while a constant displacement amplitude is maintained. (b) Calculate the intensity if the frequency is reduced to f/2 and the displacement amplitude is doubled.
Consider the following wave function in SI units: P(r,t)=(25.0r)sin(1.36r2030t) Explain how this wave function can apply to a wave radiating from a small source, with r being the radial distance from the center of the source to any point outside the source. Give the most detailed description of the wave that you can. Include answers to such questions as the following and give representative values for any quantities that can be evaluated. (a) Does the wave move more toward the right or the left? (b) As it moves away from the source, what happens to its amplitude? (c) Its speed? (d) Its frequency? (e) Its wavelength? (f) Its power? (g) Its intensity?
Review. A 12.0-kg object hangs in equilibrium from a string with a total length of L = 5.00 m and a linear mass density of = 0.001 00 kg/m. The string is wrapped around two light, frictionless pulleys that are separated by a distance of d = 2.00 m (Fig. P17.47a). (a) Determine the tension in the string. (b) At what frequency must the string between the pulleys vibrate to form the standing-wave pattern shown in Figure P 17.47b? Figure P17.47 Problem 47 and 48.

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