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$\cdot$ Two guitarists attempt to play the same note of wavelength6.50 $\mathrm{cm}$ at the same time, but one of the instruments is slightlyout of tune and plays a note of wavelength 6.52 $\mathrm{cm}$ instead.What is the frequency of the beat these musicians hear whenthey play together?

$f_{\text { beat }}=16.2 \mathrm{Hz}$

Physics 101 Mechanics

Chapter 12

Mechanical Waves and Sound

Periodic Motion

Mechanical Waves

Sound and Hearing

University of Washington

Simon Fraser University

Hope College

University of Sheffield

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.

03:34

Two guitarists attempt to …

02:00

01:12

01:53

01:44

01:41

A violinist and a pianist …

04:06

Two identical strings on d…

Two instruments are playin…

01:16

A guitarist plucks two str…

01:07

Two violins are supposed t…

01:54

Two violin players tuning …

02:43

In certain ranges of a pia…

03:12

A guitar string is $65.0 \…

08:59

00:48

A piano tuner hears one be…

So here we know that the frequency of the beat it's going to be equal to the absolute value of the of the first of the second frequency, minus the first weaken. See whichever, Whichever you deemed those to be. We know that the Landis of one equal 6.5 centimeters and we can convert to a point 065 meters, and we know that land us up to is going to be equal to 6.52 centimeters, or 0.652 meters. Now free consists of one minus frequencies of two. It doesn't really matter, considering we're taking the absolute value anyway. This will be equal to B times one over Lambda, someone minus lend one over. Landis of two V is basically the speed of sound with an air so 344 meters per second Ellen times one divided by 10.65 minus one, divided by 10.652 and this is equaling 16. So the frequency of the beat is equaling 16 hertz. Therefore, 16 beats are heard every second. That is the end of the solution. Thank you for watching

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