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Lec 5, resonance, pgs 37-39
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2 types of vibration
free: the obj or medium vibrates freely after initial distrubrance
forced: tendency of one medium to set another medium into vibration. the medium or obj is driven by an outside source that is itself an oscillator; need an outside source to continue vib
tacoma-narrows bridge/ natural(resonant) frequency
every object that vibrates(oscillates) has a certain frequency at which it vibrates at the widest amplitude most easily (which is why the bridge broke)
properties that determine the natural frequency
1) stiffness: more stiffness causes higher frequency
2) mass: more mass is less frequency (inverse)
3) length: more length is less frequency (inverse)
resonant frequency formula
resonant frequency= speed/wavelength
speed + wavelength are dependent upon the properties of the medium
natural frequency
the greater the length the slower(lower) the frequency of vibration
ex: big church bell has a low frequency of vibration; small church bell has a higher frequency
resonance
1 object matches natural frequency(vib at same resonance) and sets/forces 2nd object into motion/vibration
large increase in vibration when a force is applied at a natural frequency of the medium
source + resonator
source: 1st obj vibrating
resonator: obj or medium set into vibration
volume of containers influences resonance frequency
larger volume, lower frequency
smaller volume, higher frequency
2 types of resonators
mechanic: objects (ex: tuning fork, pendulum, swing)
acoustic: air in a completely or partially enclosed container (air highly elastic medium)
sharply tuned resonator
the resonator responds to a small range of frequencies
vibration persists for a long time (light damping)
ex: a tunning fork, a crystal glass
broadly tuned resonator
the resonator responds to a larger range of frequencies
vibration dies out quickly (heaving damping)
ex: sound in air, headphones, usually machines are broad tuned
acoustic system
source of energy (in the form of vibrations)
resonances that have their own natural frequency of the resonator
formants
natural frequencies that get intensified are called formants
acoustic resonance-amplification
energy’s vibration or source frequency matches the natural resonant frequency of the resonator, you get an AMPLIFICATION of the frequencies/greater intensity