Sound 1 Thurs. March 22, 2018 1 I spent the first hour today - - PowerPoint PPT Presentation

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Sound 1 Thurs. March 22, 2018 1 I spent the first hour today - - PowerPoint PPT Presentation

COMP 546 Lecture 18 Sound 1 Thurs. March 22, 2018 1 I spent the first hour today finishing off the previous lecture. See lecture 17 slides and notes. 2 For vision, reflected light is more important than direct light. 3 For audition,


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COMP 546

Lecture 18

Sound 1

  • Thurs. March 22, 2018
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I spent the first hour today finishing off the previous

  • lecture. See lecture 17

slides and notes.

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For vision, reflected light is more important than direct light.

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For audition, direct sound is more important than reflected sound.

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Types of sounds

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What determines a sound?

  • Force: where does the sound energy come from?
  • Oscillator: what vibrates
  • Resonator: what cavity reshapes the sound ?

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Vibration: basic mechanics

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Total energy = Kinetic energy + Potential energy

Kinetic low Potential high Kinetic high Potential low Kinetic low Potential high

𝑒 βˆ’ βˆ†π‘’ 𝑒 + βˆ†π‘’ 𝑒

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Air pressure: longitudinal wave

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high low medium medium low high 𝑒 βˆ’ βˆ†π‘’ 𝑒 + βˆ†π‘’ 𝑒 At any point in 3D space, the air pressure oscillates over time.

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Time Snapshot

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high low high low high

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The sound that we hear is the sum of many sounds waves.

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𝑄 π‘Œ, 𝑍, π‘Ž, 𝑒 = 𝐽𝑏𝑒𝑛 + 𝐽(π‘Œ, 𝑍, π‘Ž, 𝑒)

𝐽 π‘Œ, 𝑍, π‘Ž, 𝑒 is called the sound pressure. 𝑒

𝐽𝑏𝑒𝑛

Atmospheric pressure 𝐽𝑏𝑒𝑛 varies a bit with temperature, altitude, weather.

𝐽(π‘Œ, 𝑍, π‘Ž, 𝑒)

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Absolute threshold of hearing 𝐽0

𝐽0 𝐽𝑏𝑒𝑛 = 10βˆ’9

Pain threshold

π½π‘žπ‘π‘—π‘œ 𝐽𝑏𝑒𝑛 = 10βˆ’3

𝐽0 and π½π‘žπ‘π‘—π‘œ refer to a pressure deviation around 𝐽𝑏𝑒𝑛

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Physics tells us that energy density per unit volume of 𝐽 π‘Œ, 𝑍, π‘Ž, 𝑒 varies with 𝐽(… )2 . (Work done to compress or expand. Units omitted – this isn’t a physics course.) Root mean square (RMS) of sound pressure:

𝐽 ≑ 1 π‘ˆ

𝑒=1 π‘ˆ

𝐽(π‘Œ, 𝑍, π‘Ž, 𝑒)2

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β€œSound pressure level” (SPL): dB

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π‘šπ‘π‘•10

𝐽 2

𝐽0

2

Bels (B) 10 π‘šπ‘π‘•10

𝐽 2

𝐽0

2

= 20 π‘šπ‘π‘•10

𝐽

𝐽0 decibels (dB)

Why a log scale? We are sensitive to ratios of sound pressure, not differences. Why dB and not B ? β€œJust noticeable difference” (threshold) is typically around 1 dB.

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Examples of SPL (dB)

Jet plane Noisy traffic Voice in conversation Quiet room Recording studio Absolute threshold 120 90 60 30 10

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If you double the sound pressure I(X,Y,Z,t) over some time interval, what is the increase in dB ? Doubling 𝐽(π‘Œ, 𝑍, π‘Ž, 𝑒) doubles 𝐽.

20 π‘šπ‘π‘•10 2 𝐽 𝐽0 = 20 ( π‘šπ‘π‘•10 2 + π‘šπ‘π‘•10 𝐽 𝐽0 ) 20 π‘šπ‘π‘•10 2 β‰ˆ 6 𝑒𝐢

So the increase in SPL is