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Chapter 2. Impulsive Sounds, Alone and in Sequence. WAVE DESCRIPTION. Crest. l. Wavelength. A. Amplitude. Trough. Picture of a Transverse Wave. Transverse and Longitudinal Waves. Wave Motion Click on the phrase above and then select either transverse or longitudinal waves.
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Chapter 2 Impulsive Sounds, Alone and in Sequence
WAVE DESCRIPTION Crest l Wavelength A Amplitude Trough Picture of a Transverse Wave
Transverse and Longitudinal Waves Wave Motion Click on the phrase above and then select either transverse or longitudinal waves • Sound is a longitudinal wave disturbance • Wavelength is the distance between compression.
Sound is a Longitudinal Wave The tuning fork moves air molecules back and forth in the direction the sound wave travels
Wavelength (l) • Distance between adjacent crests in a transverse wave • Distance between compressions in a longitudinal wave • Distance a wave travels during one vibration • Units - meters or feet
Period (T) • Time required to make one vibration. • Time required to generate one wave. • Time required for the wave to travel one wavelength.
Frequency (f) The number of vibrations per unit of time made by the vibrating source. Units - cycles per second 1/s Hertz (Hz)
Examples of Frequency • What is the frequency of the second hand of a clock? Frequency = 1cycle/60 sec Period = 60 sec • What is the frequency of US Presidential elections? Frequency = 1 election/4 yrs Period = 4 yrs
or In symbolic form
NATURAL FREQUENCY • Demo - Drop Different Sounding Objects • Rap on Table • Finger Snap • Tuning Fork • Objects have natural frequencies at which they vibrate. • The natural frequency depends on elasticity and shape.
RESONANCE • Resonance occurs when successive impulsesare applied to a vibrating object at the object’s natural frequency. • Result - increased amplitude • Examples: Swinging Marching on a bridge Tacoma Narrows Bridge
FORCED VIBRATIONS • Demo - Tuning Fork Touching a Table • Sound is intensified because of the larger surface area that can vibrate the air. • The surface is forced to vibrate at the frequency of the tuning fork. (It is not a resonance phenomenon.) • Examples: Musical sounding boards
Equally Tempered Scale In most acoustics texts the octaves are numbered from the left side of the piano keyboard. The note labeled C4 is middle C.
Octaves • If the note has the same pitch name, then the frequency is related by a power of 2. • C4 = 256 Hz A4 = 440 Hz • C5 = 512 Hz A5 = 880 Hz
Repetition Rates • Consider a drummer playing with his left hand (o) and his right hand (x). He might play -------o-------o-------o-------o-------o-------o-------o-------o • Next he plays a flam -------o-x-----o-x-----o-x-----o-x-----o-x-----o-x-----o-x----- Or, -------o---x----o---x----o---x----o---x----o---x----o---x----o
Repetition Rates • We would have no trouble identifying this as the same frequency as the original • But put the beat of the other hand at the exact midpoint and the listener hears twice the repetition rate.
Shaper 1 Audio Ampl. Frequency Generator Sum Delay D Shaper 2 Electronic Experiment