SOUND WAVES
Essential Questions:a) What are sound waves?
b) Who discovered them? c) How do they work? d) What type of wave are they? |
Key Terms:-Sine Function: when the sine of an angle is plotted againts that angle measurement
-Domain: the set of all real numbers in a sine function -Range: the set of result values a function can produce -Amplitude: the height from the mean value of the function to its maximum or minimum -Period: the distance required for the function to complete one full cycle -Sinusoidal function: a curve similar to the sine wave but with a shift in phase or amplitude -Medium: surrounding objects, conditions, or influences; environment |
Overview:
- Sound waves are the patterns of disturbance that are caused by the moving energy traveling through air, water or another medium as they go away from their source
-The vibration that the source of the sound created disturbs the particles in the medium they´re in and those particles start to disturb others as well. This goes on and the disturbances begin to get weaker until they no longer happen.
-Sound waves are translated into electrical signal and measured in Hertz (cycles per second).
-They go from 20 to 20,000 Hertz (perceptible by humans)
-These waves are longitudinal - they´re waves in which the displacement of the medium goes in the same direction as the wave´s
-The vibration that the source of the sound created disturbs the particles in the medium they´re in and those particles start to disturb others as well. This goes on and the disturbances begin to get weaker until they no longer happen.
-Sound waves are translated into electrical signal and measured in Hertz (cycles per second).
-They go from 20 to 20,000 Hertz (perceptible by humans)
-These waves are longitudinal - they´re waves in which the displacement of the medium goes in the same direction as the wave´s
Interesting Facts:
-Dogs can hear at a higher frequency than humans; that’s why they hear noises we don’t
-Sound moves four times faster when traveling through water than traveling through air -The speed of sound is around 343 meters per second (767 miles per hour) -The reason we are able to hear different sounds is because our ear also vibrates -When whales communicate with each other, their sound can travel up to 800 km through the ocean |
Performance:
-General Formula for sine function: y= A sin (wx)
-General Formula for sinusoidal function: y= A sin ( wx ± Ø ) ± B **(Amplitude, trigonometric function, frequency, x, phase shift, vertical shift) -General Formula for sound waves: y= sin (2π × 440x) **× = times (multiply) Standard pitch = 440 hertz (cycles per second) |
Mathematical Model:
Amplitude and period determine the sound created:
-Amplitude indicates the energy, or loudness, of a sound
-The period determines its pitch (or frequency)
-Sound waves are represented in sinousoidal graphs
-Amplitude indicates the energy, or loudness, of a sound
-The period determines its pitch (or frequency)
-Sound waves are represented in sinousoidal graphs
Uses and History:
Uses
-Levitation
-Echolocation
-Ultrasound
-SONAR ( Sound Navigation And Ranging)
-Echoes
-Levitation
-Echolocation
-Ultrasound
-SONAR ( Sound Navigation And Ranging)
-Echoes
Mathematical Development:
-Galileo stated that the frequency of sound waves determined the pitch
-In the 1500s Leonardo Da Vinci discovered that sound travels in waves
-In the 1600s Robert Boyle said that the waves had to travel through a medium
-In the late 1600s Isaac Newton found a relationship between the speed of sound and the density of a medium
-In the 1700s Daniel Bernuolli said a string could have more than one frequency
-Galileo stated that the frequency of sound waves determined the pitch
-In the 1500s Leonardo Da Vinci discovered that sound travels in waves
-In the 1600s Robert Boyle said that the waves had to travel through a medium
-In the late 1600s Isaac Newton found a relationship between the speed of sound and the density of a medium
-In the 1700s Daniel Bernuolli said a string could have more than one frequency
Multimedia:
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