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Calculating Frequency of Sound Waves using Length of Pipes, Summaries of Physics

A step-by-step guide on how to calculate the frequency of sound waves produced by different pipes based on their lengths. It includes a table with pipe lengths, frequencies, and colors. the concept of Hertz as the SI unit of frequency and derives the formula for calculating frequency as the velocity of sound divided by the pipe length.

What you will learn

  • What is the SI unit of frequency?
  • How does the length of a pipe affect the frequency of the sound wave produced?
  • What is the formula for calculating the frequency of a sound wave?

Typology: Summaries

2021/2022

Uploaded on 09/12/2022

myfuture
myfuture 🇺🇸

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How$to$calculate$Hertz$$
$the$frequency$of$each$pipe$
What$is$a$Hertz?$$It$is$the$SI$unit$of$frequency,$equal$to$one$cycle$per$second.$$$
$$
ν$=$speed$of$sound$in$air$(room$temperature)~$330-340$m/s$
$
λ$=$wavelength$(4#X’s#the#length#of#the#tube#measured#in#meters)#
$10cm$=$.10$m$
$$
f$=$frequency$in$Hertz$$
$
$$$
The$velocity$of$a$sound$wave$(v)$is$equal$to$its$frequency$(f)$Lmes$its$wavelength.$$$$$$$$$$$$$$$$$$$$$$$$$$$$
or$
Frequency$=$velocity$divided$by$wavelength$
$f$=$v/λ$
f=$340m/s$/$(.10m$x$4)$$
f$=$340m/s$/$.40$m$=$850$Hertz$
$
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How to calculate Hertz

the frequency of each pipe

What is a Hertz? It is the SI unit of frequency, equal to one cycle per second.

ν = speed of sound in air (room temperature)~ 330-340 m/s

λ = wavelength (4 X’s the length of the tube measured in meters)

10cm = .10 m

f = frequency in Hertz

The velocity of a sound wave (v) is equal to its frequency (f) Lmes its wavelength.

or

Frequency = velocity divided by wavelength

f = v/λ

f= 340m/s / (.10m x 4)

f = 340m/s / .40 m = 850 Hertz

  • Note Length (cm) Frequency (Hz) COLOR
  • F 1 23.6 349 BLACK 1
  • G 1 21.0 392 PINK 1
  • A 2 18.7 440 RED 1
  • Bb1 17.5 446 GREEN 1

  • C 1 15.8 523 BLUE 1
  • D 1 14.0 587 ORANGE 1
  • E 1 12.5 659 YELLOW 1
  • F 2 11.8 698 BLACK 2
  • G 2 10.5 784 PINK 2
  • A 2 9.4 880 RED 2
  • Bb2 9.2 892 GREEN 2
  • C 2 7.9 1046 BLUE 2
  • D 2 7.0 1174 ORANGE 2

  • E 2 6.2 1318 YELLOW 2 Pipe lengths ½” or ¾” PVC Only cut these 9 pipes

Pipes C

, D

, E

, G

- four notes

D C D D D D G G

D C D D D D C

Pipes C 1 through G 2 five notes G C D F F F F F D D D G G C D F F F F F G G F D C