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Two loudspeakers face each other at opposite ends of along corridor. They are connected to the same sourcewhich produces a pure tone of 282 Hz. A person walksfrom one speaker toward the other at a speed of 1.4 $\mathrm{m} / \mathrm{s}$ .What beat frequency does the person hear?
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Physics 101 Mechanics
Chapter 16
Sound
Periodic Motion
Mechanical Waves
Sound and Hearing
University of Michigan - Ann Arbor
Hope College
University of Winnipeg
Lectures
08:15
In physics, sound is a vibration that typically propagates as an audible wave of pressure, through a transmission medium such as a gas, liquid or solid. In human physiology and psychology, sound is the reception of such waves and their perception by the brain. Humans can only hear sound waves as distinct pitches when the frequency lies between about 20 Hz and 20 kHz. Sound above 20 kHz is known as ultrasound and has different physical properties from sound below 20 kHz. Sound waves below 20 Hz are called infrasound. Different species have different hearing ranges. In terms of frequency, the range of ultrasound, infrasound and other upper limits is called the ultrasound.
04:49
In physics, a traveling wave is a wave that propogates without a constant shape, but rather one that changes shape as it moves. In other words, its shape changes as a function of time.
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in this problem. We are asked to find the beat frequency that the person hears when he walks away from one speaker towards one speaker in a corridor. So the frequency received by a person who is walking away from Sarita Worse there. Speaker. We'll have frequency off the speaker, um, into one plus the speed off the walk, which I will write to say we w who were the speed of sound, which is we iss uh, And the frequency, uh, received by person walking away from the speaker will have f dish A w that is equal to f into one minus. We w we dubbed new or the s, so the beat frequency will be simply the difference off the difference off. Um, t w minus t dish. Hey, w So if we subtract these two expressions, then the answer we get here is simply this f l f l cancel out each other. Um, www arias will end up so we have Sorry. D'oh not cancel out. Rather they doom and applying this. Careful, cancel out. But it will go inside with also So we have a to f www over. Yes, we are given the VW and F. We can plug those values. Here we have Ah, 2 82 to 82. And here we have. VW is 1.4, and, uh, or the speed off the sound we have is a 3 43 between 40. Simplifying this expression. The beat frequency we get here is 2.3 hurts 2.3 hurts. End off the problem. Thank you for watching.
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