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Chapter 16: Q.10 (page 451)
A wave has angular frequency 30 rad/s and wavelength 2.0 m.
What are its (a) wave number and (b) wave speed?
The wavenumber of the wave is 3.14 rad/m.
The wave speed is 9.55 m/s.
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Draw the snapshot graph D (x, t = 1.0 s) at t = 1.0 s for the wave shown in FIGURE EX16.7.
An avant-garde composer wants to use the Doppler effect in his new opera. As the soprano sings, he wants a large bat to fly toward her from the back of the stage. The bat will be outfitted with a microphone to pick up the singer鈥檚 voice and a loudspeaker to rebroadcast the sound toward the audience. The composer wants the sound the audience hears from the bat to be, in musical terms, one half-step higher in frequency than the note they are hearing from the singer. Two notes a half-step apart have a frequency ratio of 21/12 = 1.059. With what speed must the bat fly toward the singer?
The density of mercury is 13,600 kg/m3 . What is the speed of sound in mercury at 20掳C?
A water wave is a shallow-water wave if the water depth d is less than 鈮� l/10. It is shown in hydrodynamics that the speed of a shallow-water wave is v = 1gd, so waves slow down as they move into shallower water. Ocean waves, with wavelengths of typically 100 m, are shallow-water waves when the water depth is less than 鈮� 10 m. Consider a beach where the depth increases linearly with distance from the shore until reaching a depth of 5.0 m at a distance of 100 m. How long does it take a wave to move the last 100 m to the shore? Assume that the waves are so small that they don鈥檛 break before reaching the shore
FIGURE P16.58 shows two masses hanging from a steel wire.
The mass of the wire is 60.0 g. A wave pulse travels along the wire from point 1 to point 2 in 24.0 ms. What is mass m?
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