# Sound Waves Examined

1. Imagine two symmetrical pulses that are identical in every way, except tht one is inverted. These pulses are moving toward each other on a rope in opposite directions. What happens to the energy of the rope at the instant of complete cancellation?

2. In the real world, a pulse sent down a very long, taut rope diminishes in amplitude and ultimately vanishes. Describe what's happening in terms of Conservation of Energy.

Multiple choice:
1. A periodic wave passes an observer, who records tht there is a time of .5 s between crests. (a) the frequency is .5 Hz (b) the speed is .5 m/s (c) the wavelength is .5 m (d) the period is .5 s (e) none of these. Explain your choice.

2. For a harmonic wave of a certain type in a given medium, doubling the frequency has the effect of: (a) halving the speed (b) halving the wavelength (c) doubling the amplitude (d) doubling the period (e) none of these. Explain your answer.

3. Quite generally, doubling the amplitude of a wave: (a) doubles the frequency (b) halves the period (c) quadurpled the energy (d) doubles the speed (e) none of these. Explain your choice.

Problem

1. A long metal rod is stuck by a vibrating hammer in such a way that a compression wave with a wavelength of 4.3 m travels down its length at a speed of 3.5 km/s. What was the frequency of the vibration?

2. Imagine a sinusoidal presssure wave for which the distance between successive maxima is 2.25 m. If exactly 10 such peaks pass a microphone each 1.00 s, what is the speed of the wave?

3. A person standing at one side of a playing field on a cold winter night emits a brief yell. The short acoustical wavetrain returns 1.00 s later as an echo having "bounced off" a distant dormitory. Approximately how far away was the building?

4. A low-frequency loudspeaker is called a woofer. At what frequency will a tone have a wavelength equal to the diameter of a 15-inch woofer? Take the speed of sound to be 344 m/s.

5. The speed of sound in ether (25 deg C, 1 atm) is 976 m/s. What is the wavelength in ether produced by a tuning fork oscillating at 1000 Hz?

6. Suppose that a tuning fork in air, where the speed of sound is 343 m/s, produces a tone having a wavelength of 0.7795 m. The fork is immersed in acetone and then tapped. How long a wave will be created in the liquid given the acetone (20 deg C, 1 atm) supports sound waves tht travel at 1203 m/s.

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#### Solution Preview

...imes it is like a force acting on the system (opposing it) proportional to the velocity (this is called viscosity) or it's just a constant force opposing motion (the kind we see in statics/dynamics problems) or else. Therefor as long as the wave is propagating this friction force will do an opposing work on the system and change its energy as the time goes on, until all the energy is exhausted. At this point (that might actually happen in a really distant future depending on how big the friction is) there would be no kinetic (motion) and potential (displacement) energy left and the wave will stop.

MULTIPLE:
1) I guess it is (d) because the period is the time between the crests (however you might want to check the ...