AUDIO & ACOUSTICS THEORY Week 2 Sound Physics, Ranges of Hearing Frequency, Wavelength, Period, Velocity Audio Engineering & Sound Production Unit code: AUD202 Sound is Vibrations When an object vibrates it causes nearby molecules to vibrate causing a chain reaction Sound is Vibrations Sound travels as a series of compressions and rarefactions through a medium Sound is a Mechanical Wave Sound travels through air as a longitudinal wave However it can also travel as a transverse wave (such as on a guitar string or a wave in water) One complete cycle is one compression and one rarefaction 1000 cycles per second = 1000Hz = 1kHz Sine Wave The sine wave is a pure tone with no harmonics Simple Waveforms Sine Square Triangle Sawtooth HIGHER FREQUENCY shorter wavelength LOWER FREQUENCY longer wavelength Frequency range of hearing The typical range of hearing of a young undamaged ear is between 20Hz and 20kHz A3 = 220 Hz A4 = 440 Hz A5 = 880 Hz C4 = 261.6 Hz D4 = 293.7 Hz E4 = 329.6 Hz F4 = 349.2 Hz G4 = 392 Hz A4 = 440 Hz B4 = 493.9 Hz C5 = 523.2 Hz Dynamic Range of Hearing The typically accepted amplitude range of human hearing is 120dBSPL Sound amplitude is referenced to the Pascal (Pa) (the unit for pressure) 0dBSPL = 0.00002 Pascals (20 µPa) 120dBSPL = 20 Pascals Dynamic Range of Hearing 60 decibels of amplitude -60dBFS to 0dBFS Units of Measurement = period of one cycle (in seconds) f = frequency in Hertz (Hertz is cycles per second) = wavelength v = velocity of sound (in metres) (in metres per second) Velocity of Sound Formula v = 331.4 + (0.6x°C) The velocity of sound through air at 21 degrees Celsius is 344m/s THE SOUND BARRIER THE SOUND BARRIER The Sound Barrier SPEED OF SOUND 344 m/s 1482 m/s 5200 m/s 12000 m/s AIR WATER STEEL DIAMON D The Decibel The Bel is named after Alexander Graham Bell 1847 –1922. The decibel (dB) is a tenth of a Bel Amplitude is measured in decibels Loudness is Subjective Amplitude is Objective Loudness Loudness is a subjective term describing the strength of our perception of sound. Loudness is measured in Phons Threshold of Pain 120dB Threshold of hearing is