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Chapter 16: Q. 36 (page 452)
During takeoff, the sound intensity level of a jet engine is 140 dB at a distance of 30 m. What is the sound intensity level at a distance of 1.0 km?
The sound intensity level at a distance ofis.
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A wave on a string is described by, where x is in m and t in s.
The linear density of the string is 5.00 g/m. What are
a. The string tension?
b. The maximum displacement of a point on the string?
c. The maximum speed of a point on the string?
A bat locates insects by emitting ultrasonic “chirps” and then listening for echoes from the bugs. Suppose a bat chirp has a frequency of 25 kHz. How fast would the bat have to fly, and in what direction, for you to just barely be able to hear the chirp at 20 kHz?
Show that the displacement D(x, t) = ln(ax + bt) , where a and b are constants, is a solution to the wave equation. Then find an expression in terms of a and b for the wave speed.
The wave speed on a string is 150 m/s when the tension is 75 N. What tension will give a speed of 180 m/s?
Is the displacement , where x is in m, t is in s, and , a possible traveling wave? If so, what is the wave speed? Complex exponentials are often used to represent waves in more advanced treatments.
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