Sound Waves Three aspects of sound § Sound source Sound is produced by a vibrating object § Medium Transfer of energy through a medium via longitudinal waves § Detection ...by an ear or instrument (microphone, etc) Medium is required Sound waves=longitudinal Sound waves require a medium to transfer the energy. “In space no one can hear you scream.” Keep in mind that although we sometimes draw sound waves as transverse, they’re really longitudinal. Air molecules that have been pushed closer to other are in the compression zone, while the air molecules that are more widely spaced are in the rarefaction zone. http://illuminations.nctm.org/ActivityDetail.aspx?id=37 Speed of sound Pitch? Volume? ...depends on the mechanical characteristics of the medium. Frequency of sound waves is often called pitch. Amplitude of sound waves is often called volume. The Frequency Response of the human ear is ~20-20,000 Hz. In air: v ≈ (331.4 + 0.60T ) m/s >20,000 Hz (20kHz) = ultrasonic frequencies <20 Hz = infrasonic frequencies (eq, thunder, volcanoes, heavy machinery) Dogs can hear up to 50,000 Hz Bats can hear up to 100,000 Hz 1 Calculating sound intensities “Loudness” of a sound wave is simply a measure of its intensity = how much power the wave has per unit area. Not done Intensity... loudness? E /t P = = I (W/m2 ) A A The human ear can generally detect sounds as quiet as 10-12 W/m2, and as loud as 1 W/m2. What we perceive as loudness, however, does not vary directly with intensity. Sounds that we € as being approximately twice as loud are actually 10 perceive times as intense. Sound intensities 0 dB 10 dB 20 dB 40 dB 50-60 dB 70 dB 90 dB Threshhold of human hearing Leaves rustling Whisper Quiet radio Normal conversation Vacuum cleaner, street traffic Limit of intensity w/no long-term damage to hearing 120 dB Siren; loud concert 130-140 dB Gunshot 150 dB Jet airplane Standing Waves When a wave is reflected from a boundary and interferes with itself, a standing wave is produced. Standing waves have nodes and antinodes. By carefully examining the placement of these features, we can determine various qualities of the wave. Resonance Resonance Objects composed of materials that have even a little elasticity will vibrate with a natural frequency if that material is disturbed. Bells, tuning forks, guitar strings, diving boards... all vibrate with their own characteristic, resonant, frequencies. When the frequency of a forced vibration (due to an external force) matches an object’s natural frequency, an increase in amplitude occurs. What are some common examples of resonance? • Pushing a kid on a swing • Rubbing finger on a wine glass • Blowing air across the top of a bottle • Plucking a guitar string • Rubbing a bow across a violin string 2
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