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$\bullet$ Two small speakers $A$ and $B$ are driven in step at 725 $\mathrm{Hz}$ bythe same audio oscillator. These speakers both start out 4.50 $\mathrm{m}$from the listener, but speaker $A$ is slowly moved away. (See Figure $12.42 . )$ (a) At what distance $d$ will the sound from the speakers first produce destructive interference at the locationof the listener? (b) If $A$ keeps moving, at what distance $d$ will the speakers next produce destructive interference at the listener? (c) After $A$ starts moving away, at what distance will thespeakers first produce constructive interference at the listener?

a) 0.237 $\mathrm{m}$b) 0.711 $\mathrm{m}$c) 0.474 $\mathrm{m}$

Physics 101 Mechanics

Chapter 12

Mechanical Waves and Sound

Periodic Motion

Mechanical Waves

Sound and Hearing

University of Michigan - Ann Arbor

University of Washington

University of Sheffield

McMaster University

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.

04:47

Two small speakers $A$ and…

04:29

Two small speakers A and B…

04:00

Small speakers $A$ and $B$…

01:19

00:50

02:59

03:47

05:17

Loudspeakers A and B are v…

03:55

Speakers A and B are vibra…

02:58

Two identical loudspeakers…

03:24

Two small stereo speakers…

00:47

Two loudspeakers, $A$ and …

we're told that you measure a standing person's blood pressure by placing the cough on his leg half a meter below his heart. Want to calculate the pressure you would observe in units of millimetres of mercury if the pressure at the heart were 1 20/80 millimeters of mercury and assume that there's no loss of pressure? Do the resistance in the circulatory system, so we know that the distance from the heart so the leg is half a meter, and then we know how pressure changes with death. So the pressure at the leg is gonna be the pressure at the heart, plus the density of blood times G times, the height, the distance from the heart to the leg. Looking in numbers we have. The pressure at the heart is 120 millimeters of mercury. We know the densely your blood is 1050 kilograms per meter, cube G, 9.8 meters per second squared and H is half a meter lugging that number's in there calculating. We get 120 millimeters of mercury plus 5145 Pascal's, which we can convert two millimetres of mercury knowing that there is one millimeter mercury for 133 Pascal's and we wind up with the blood pressure of 159 millimeters American. So now, taking the other reading to either the systolic diastolic, I can never remember which that is 80 millimeters of mercury. So we have the same the same distance. Everything is the same. So we just need to change 1 20 to 80. And we're, you know, conversion and we wind up with a pressure reading 119 millimeters of murder. So this is why, when they take your blood pressure, they usually want either. Just relax your arm down so that your the coffee's about at your level of your heart.

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