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Chapter 2: Q43E (page 541)
Two organ pipes, open at one end but closed at the other, are each long. One is now lengthened by . Find the beat frequency that they produce when playing together in their fundamentals.
The beat frequency came out to be .
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The Vocal Tract. Many opera singers (and some pop singers) have a range of about octaves or even greater. Suppose a soprano鈥檚 range extends from A below middle C (frequency 220 Hz) up to E-flat above high C (frequency 1244 Hz). Although the vocal tract is quite complicated, we can model it as a resonating air column, like an organ pipe, that is open at the top and closed at the bottom. The column extends from the mouth down to the diaphragm in the chest cavity, and we can also assume that the lowest note is the fundamental. How long is this column of air if v = 354 m/s? Does your result seem reasonable, on the basis of observations of your own body?
The intensity due to a number of independent sound sources is the sum of the individual intensities. (a) When four quadruplets cry simultaneously, how many decibels greater is the sound intensity level than when a single one cries? (b) To increase the sound intensity level again by the same number of decibels as in part (a), how many more crying babies are required?
While sitting in your car by the side of a country road, you are approached by your friend, who happens to be in an identical car. You blow your car鈥檚 horn, which has a frequency of 260 Hz. Your friend blows his car鈥檚 horn, which is identical to yours, and you hear a beat frequency of 6.0 Hz. How fast is your friend approaching you?
Two loudspeakers, and , are driven by the same amplifier and emit sinusoidal waves in phase. The frequency of the waves emitted by each speaker is . You are from role="math" localid="1655809995061" . What is the closest you can be to and be at a point of destructive interference?
A simple harmonic oscillator at the point x = 0 gener ates a wave on a rope. The oscillator operates at a frequency of 40.0 Hz and with an amplitude of 3.00 cm. The rope has a linear mass density of 50.0 g/m and is stretched with a tension of 5.00 N. (a) Determine the speed of the wave. (b) Find the wavelength. (c) Write the wave function y(x, t) for the wave. Assume that the oscillator has its maximum upward displacement at time t = 0. (d) Find the maximum transverse acceleration of points on the rope. (e) In the discussion of transverse waves in this chapter, the force of gravity was ignored. Is that a reasonable approximation for this wave? Explain.
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