Macmillan Learning-L-A clarinet behaves like a closed pipe in which one end is closed, and the other is open to the air. When a musicianblows air into the mouthpiece and causes air in the tube of the clarinet to vibrate, the waves set up by the vibrationcreate the displacement pattern of the third harmonic represented in the figure. Set x = 0 at the open end of the tube.The antinodes (locations of amplitude maxima) of the pressure variation of the sound waves are located atx = 0, x = L/3, x = 2L/3, and x = L.x = 0.x = 0 and x = 2L/3.x = L/3 and x = L.none of the above.

The antinodes (locations of amplitude maxima) of the pressure variation of the sound waves are…

Answered: Macmillan Learning -L- A clarinet…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 46P: A pulse can be described as a single wave disturbance that moves through a medium. Consider a pulse...

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The displacement of the air molecules in sound wave is modeled with the wave function s(x,t)=5.00nmcos(91.54m1x3.14104s1t) . (a) What is the wave speed of the sound wave? (b) What is the maximum speed of the air molecules as they oscillate in simple harmonic motion? (c) What is the magnitude of the maximum acceleration of the air molecules as they oscillate in simple harmonic motion?
A string has a linear mass density =0.007 kg/m, a length L=0.70 m, a tension of FT=110 N, and oscillates in a mode n=3 . (a) What is the frequency of the oscillations? (b) Use the result in the preceding problem to find the change in the frequency when the tension is increased by 1.00% .
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A pulse is defined as y(x,t)=e2.77( 2.00( x2.00m/s ( t ) ) 5.00m)2 . Use a spreadsheet, or other computer program, to plot the pulse as the height of medium y as a function of position x. Plot the pulse at times t=0.00s and t=3.00s on the same graph. Where is the pulse centered at time t=0.00s ? Use your spreadsheet to check your answer.
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A trough with dimensions 10.00 meters by 0.10 meters by 0.10 meters is partially filled with water. Smallamplitude surface water waves are produced from both ends of the trough by paddles oscillating in simple harmonic motion. The height of the water waves are modeled with two sinusoidal wave equations, y1(x,t)=0.3msin(4m1x3s1t) and y2(x,t)=0.3mcos(4m1x+3s1t2) . What is the wave function of the resulting wave after the waves reach one another and before they reach the end of the trough (i.e., assume that there are only two waves in the trough and ignore reflections)? Use a spreadsheet to check your results. (Hint: Use the trig identities sin(uv)=sinucosvcosusinv and sin(uv)=sinucosvcosusinv
A wave is modeled with the function y(x,t)=(0.25m)cos(0.30m1x0.90s1t+3) . Find the (a) amplitude, (b) wave number, (c) angular frequency, (d) wave speed, (e) phase shift, (f) wavelength, and (g) period of the wave.
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) .)
An organ pipe (L=3.00m) is closed at one end. Compute the wavelengths and frequencies of the first three modes of resonance. Assume the speed of sound is v=343.00 m/s.
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