Chapter 16: Problem 15
A (somewhat risky) way of telling if a train that cannot be seen or heard is approaching is by placing your ear on the rail. Explain why this works.
Chapter 16: Problem 15
A (somewhat risky) way of telling if a train that cannot be seen or heard is approaching is by placing your ear on the rail. Explain why this works.
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Get started for freeA train whistle emits a sound at a frequency \(f=3000 .\) Hz when stationary. You are standing near the tracks when the train goes by at a speed of \(v=30.0 \mathrm{~m} / \mathrm{s}\). What is the magnitude of the change in the frequency \((|\Delta f|)\) of the whistle as the train passes? (Assume that the speed of sound is \(v=343 \mathrm{~m} / \mathrm{s} .\)
A car traveling at \(25.0 \mathrm{~m} / \mathrm{s}\) honks its horn as it directly approaches the side of a large building. The horn produces a long sustained note of frequency \(f_{0}=230 .\) Hz. The sound is reflected off the building back to the car's driver. The sound wave from the original note and that reflected off the building combine to create a beat frequency. What is the beat frequency that the driver hears (which tells him that he had better hit the brakes!)?
Many towns have tornado sirens, large elevated sirens used to warn locals of imminent tornados. In one small town, a siren is elevated \(100 . \mathrm{m}\) off the ground. A car is being driven at \(100 . \mathrm{km} / \mathrm{h}\) directly away from this siren while it is emitting a \(440 .-\mathrm{Hz}\) sound. What is the frequency of the sound heard by the driver as a function of the distance from the siren at which he starts? Plot this frequency as a function of the car's position up to \(1000 . \mathrm{m} .\) Explain this plot in terms of the Doppler effect.
You are traveling in a car toward a hill at a speed of \(40.0 \mathrm{mph}\). The car's horn emits sound waves of frequency \(250 . \mathrm{Hz},\) which move with a speed of \(340 . \mathrm{m} / \mathrm{s}\) a) Determine the frequency with which the waves strike the hill. b) What is the frequency of the reflected sound waves you hear? c) What is the beat frequency produced by the direct and the reflected sounds at your ears?
At a distance of \(20.0 \mathrm{~m}\) from a sound source, the intensity of the sound is \(60.0 \mathrm{~dB}\). What is the intensity (in dB) at a point \(2.00 \mathrm{~m}\) from the source? Assume that the sound radiates equally in all directions from the source.
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