University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 16, Problem 16.27E
To determine
The first three standing wave frequencies of the vocal tract.
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We can make a simple model of the human vocal tract as an open-closed tube extending from the
opening of the mouth to the diaphragm.
What is the length of this tube if its fundamental frequency equals a typical speech frequency of 250 Hz? The speed of sound in the warm air is 350 m/s.
Express your answer with the appropriate units.
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Energy Delivered to the Ear. Sound is detected when a sound wave causes the tympanic membrane (the eardrum) to vibrate. Typically, the diameter of this membrane is about 8.4 mm in humans. (a) How much energy is delivered to the eardrum each second when someone whispers (20 dB) a secret in your ear? (b) To comprehend how sensitive the ear is to very small amounts of energy, calculate how fast a typical 2.0 mg mosquito would have to fly (in mm/s) to have this amount of kinetic energy.
The eardrum, which transmits sound vibrations to the sensory organs of the inner ear, lies at the end of the ear canal. For adults, the ear canal is about 2.6 cm in length. Frequency standing waves that can occur in the ear canal that are within the range of human hearing. Assume the speed of sound in the air of the ear canal to be 334 m/s.
Write your answer with 3 sig fig.
What is the lowest natural frequency for standing wave to be heard by humain?_____Hz
What is the third lowest natural frequency for standing wave to be heard by humain?____Hz
What is the second lowest natural frequency for standing wave to be heard by humain?_____Hz
Chapter 16 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 16.1 - You use an electronic signal generator to produce...Ch. 16.2 - Mercury is 13.6 times denser than water. Based on...Ch. 16.3 - Prob. 16.3TYUCh. 16.4 - If you connect a hose to one end of a metal pipe...Ch. 16.5 - A stopped organ pipe of length L has a fundamental...Ch. 16.6 - Suppose that speaker A in Fig. 16.23 emits a...Ch. 16.7 - One tuning fork vibrates at 440 Hz, while a second...Ch. 16.8 - You are at an outdoor concert with a wind blowing...Ch. 16.9 - What would you hear if you were directly behind...Ch. 16 - Prob. 16.1DQ
Ch. 16 - The hero of a western movie listens for an...Ch. 16 - Would you expect the pitch (or frequency) of an...Ch. 16 - In most modern wind instruments the pitch is...Ch. 16 - Symphonic musicians always warm up their wind...Ch. 16 - In a popular and amusing science demonstration, a...Ch. 16 - Prob. 16.7DQCh. 16 - (a) Does a sound level of 0 dB mean that there is...Ch. 16 - Which has a more direct influence on the loudness...Ch. 16 - If the pressure amplitude of a sound wave is...Ch. 16 - Does the sound intensity level obey the...Ch. 16 - A small fraction of the energy in a sound wave is...Ch. 16 - A small metal band is slipped onto one of the...Ch. 16 - An organist in a cathedral plays a loud chord and...Ch. 16 - Prob. 16.15DQCh. 16 - Two vibrating tuning forks have identical...Ch. 16 - A large church has part of the organ in the front...Ch. 16 - A sound source and a listener are both at rest on...Ch. 16 - Can you think of circumstances in which a Doppler...Ch. 16 - Prob. 16.20DQCh. 16 - If you wait at a railroad crossing as a train...Ch. 16 - In case 1, a source of sound approaches a...Ch. 16 - Does an aircraft make a sonic boom only at the...Ch. 16 - If you are riding in a supersonic aircraft, what...Ch. 16 - Prob. 16.25DQCh. 16 - Example 16.1 (Section 16.1) showed that for sound...Ch. 16 - Prob. 16.2ECh. 16 - Consider a sound wave in air that has displacement...Ch. 16 - A loud factory machine produces sound having a...Ch. 16 - BIO Ultrasound and Infrasound. (a) Whale...Ch. 16 - (a) In a liquid with density 1300 kg/m3,...Ch. 16 - A submerged scuba diver hears the sound of a boat...Ch. 16 - Prob. 16.8ECh. 16 - An oscillator vibrating at 1250 Hz produces a...Ch. 16 - CALC (a) Show that the fractional change in the...Ch. 16 - A 60.0-m-long brass rod is struck at one end. A...Ch. 16 - Prob. 16.12ECh. 16 - BIO Energy Delivered to the Ear. Sound is detected...Ch. 16 - (a) By what factor must the sound intensity be...Ch. 16 - Eavesdropping! You are trying to overhear a juicy...Ch. 16 - BIO Human Hearing. A fan at a rock concert is 30 m...Ch. 16 - A sound wave in air at 20C has a frequency of 320...Ch. 16 - You live on a busy street, but as a music lover,...Ch. 16 - BIO For a person with normal hearing, the faintest...Ch. 16 - The intensity due to a number of independent sound...Ch. 16 - CP A babys mouth is 30 cm from her fathers ear and...Ch. 16 - The Sacramento City Council adopted a law to...Ch. 16 - CP At point A, 3.0 m from a small source of sound...Ch. 16 - (a) If two sounds differ by 5.00 dB, find the...Ch. 16 - Standing sound waves are produced in a pipe that...Ch. 16 - The fundamental frequency of a pipe that is open...Ch. 16 - Prob. 16.27ECh. 16 - BIO The Vocal Tract. Many opera singers (and some...Ch. 16 - The longest pipe found in most medium-size pipe...Ch. 16 - Singing in the Shower. A pipe closed at both ends...Ch. 16 - You blow across the open mouth of an empty test...Ch. 16 - Prob. 16.32ECh. 16 - A 75.0-cm-long wire of mass 5.625 g is tied at...Ch. 16 - Small speakers A and B are driven in phase at 725...Ch. 16 - Prob. 16.35ECh. 16 - Two loudspeakers, A and B (see Fig. E16.35), are...Ch. 16 - Two loudspeakers, A and B, are driven by the same...Ch. 16 - Two loudspeakers, A and B, are driven by the same...Ch. 16 - Two small stereo speakers are driven in step by...Ch. 16 - Two guitarists attempt to play the same note of...Ch. 16 - Prob. 16.41ECh. 16 - Adjusting Airplane Motors. The motors that drive...Ch. 16 - Two organ pipes, open at one end but closed at the...Ch. 16 - In Example 16.18 (Section 16.8), suppose the...Ch. 16 - On the planet Arrakis a male ornithoid is flying...Ch. 16 - A railroad train is traveling at 25.0 m/s in still...Ch. 16 - Two train whistles, A and B, each have a frequency...Ch. 16 - Moving Source vs. Moving Listener. (a) A sound...Ch. 16 - A swimming duck puddles the water with its feet...Ch. 16 - A railroad train is traveling at 30.0 m/s in still...Ch. 16 - A car alarm is emitting sound waves of frequency...Ch. 16 - While sitting in your car by the side of a country...Ch. 16 - Prob. 16.53ECh. 16 - The siren of a fire engine that is driving...Ch. 16 - A stationary police car emits a sound of frequency...Ch. 16 - How fast (as a percentage of light speed) would a...Ch. 16 - A jet plane flies overhead at Mach 1.70 and at a...Ch. 16 - The shock-wave cone created by a space shuttle at...Ch. 16 - A soprano and a bass are singing a duet. While the...Ch. 16 - CP The sound from a trumpet radiates uniformly in...Ch. 16 - Prob. 16.61PCh. 16 - CP A uniform 165-N bar is supported horizontally...Ch. 16 - An organ pipe has two successive harmonics with...Ch. 16 - Prob. 16.64PCh. 16 - Prob. 16.65PCh. 16 - A bat flies toward a wall, emitting a steady sound...Ch. 16 - The sound source of a ships sonar system operates...Ch. 16 - BIO Ultrasound in Medicine. A 2.00-MHZ sound wave...Ch. 16 - BIO Horseshoe bats (genus Rhinolophus) emit sounds...Ch. 16 - CP A police siren of frequency fsiren is attached...Ch. 16 - CP A turntable 1.50 m in diameter rotates at 75...Ch. 16 - DATA A long, closed cylindrical tank contains a...Ch. 16 - Prob. 16.73PCh. 16 - DATA Supernova! (a) Equation (16.30) can be...Ch. 16 - CALC Figure P16.75 shows the pressure fluctuation...Ch. 16 - CP Longitudinal Waves on a Spring. A long spring...Ch. 16 - BIO ULTRASOUND IMAGING. A typical ultrasound...Ch. 16 - BIO ULTRASOUND IMAGING. A typical ultrasound...Ch. 16 - BIO ULTRASOUND IMAGING. A typical ultrasound...Ch. 16 - BIO ULTRASOUND IMAGING. A typical ultrasound...Ch. 16 - BIO ULTRASOUND IMAGING. A typical ultrasound...
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- Some studies suggest that the upper frequency limit of hearing is determined by the diameter of the eardrum. The wavelength of the sound wave and the diameter of the eardrum are approximately equal at this upper limit. If the relationship holds exactly, what is the diameter of the eardrum of a person capable of hearing 20 000 Hz? (Assume a body temperature of 37.0C.)arrow_forwardA pipe is observed to have a fundamental frequency of 345 Hz. Assume the pipe is filled with air (v = 343 m/s). What is the length of the pipe if the pipe is a. closed at one end and b. open at both ends?arrow_forwardWrite an expression that describes the pressure variation as a function of position and time for a sinusoidal sound wave in air. Assume the speed of sound is 343 m/s, = 0.100 m, and Pmax = 0.200 Pa.arrow_forward
- At t = 0, a transverse pulse in a wire is described by the function y=6.00x2+3.00 where xand y are in meters. If the pulse is traveling in the positive x direction with a speed of 4.50 m/s, write the function y(x, t) that describes this pulse.arrow_forwardA flute has a length of 58.0 cm. If the speed of sound in air is 343 m/s, what is the fundamental frequency of the flute, assuming it is a tube closed at one end and open at the other? (a) 148 Hz (b) 296 Hz (c) 444 Hz (d) 591 Hz (e) none of those answersarrow_forwardBased on the graph in Figure 17.36, what is the threshold of hearing in decibels for frequencies of 60, 400, 1000, 4000, and 15,000 Hz? Note that many AC electrical appliances produce 60 Hz, music is commonly 400 Hz, a reference frequency is 1000 Hz, your maximum sensitivity is near 4000 Hz, and many older TVs produce a 15,750 Hz whine. Figure 17.36 The relationship of loudness in phons to intensity level (in decibels) and intensity (in watts per meter squared) for persons with normal hearing. The curved lines are equal-loudness curves—all sounds on a given curve are perceived as equally loud. Phons and decibels are defined to be the same at 1000 Hz.arrow_forward
- A sound wave in air has a pressure amplitude equal to 4.00 103 Pa. Calculate the displacement amplitude of the wave at a frequency of 10.0 kHz.arrow_forwardMale Rana catesbeiana bullfrogs are known for their loud mating call.The call is emitted not by the frog’s mouth but by its eardrums, which lie on the surface of the head. And, surprisingly, the sound has nothing to do with the frog’s inflated throat. If the emitted sound has a frequency of 260 Hz and a sound level of 85 dB (near the eardrum), what is the amplitude of the eardrum’s oscillation? The air density is 1.21 kg/m3.arrow_forwardThank you! A 77.8-Hz sound wave is barely audible at a sound intensity level of 60.0 dB. The density of air at 20.0°C is 1.20 kg/m3. Speed of sound in air at 20.0°C is 343 m/s. a) what is the displacement amplitude of a 77.8-Hz sound wave? b) what is the ration of the displacement amplitude to the average distance between molecules in air at room temperature, about 3.00 nm?arrow_forward
- The vocal tract of a human can be thought of as a tube open at one end. If the length of the tube is 17 cm, what are the frequencies of the first two harmonics? Consider 340 m/s as the speed of sound.arrow_forwardChapter 16, Problem 069 Your answer is partially correct. Try again. ES. lem The bellow of a territorial bull hippopotamus is measured at 116 dB above the threshold of hearing. What is the sound intensity? Hint: The threshold of human hearing is Io = 1.00 x 10-12 W/m2. plem %3D blem Number Units W/m^2 ▼ oblem the tolerance is +/-5% oblem roblem SHOW HINT Problem LINK TO TEXT Problem Problem By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor. Problem Question Attempts: 1 of 6 used SUBMIT ANSWER SAVE FOR LATER Problem Earn Maximum Points available only if you 8:02 PM 4/29/2020 19 e here to search 21 ASL pause break prt sc sysrq f11 f12 insert f8 f9 f10 f4 f5 f6 f7 f2 f3 backspace & %24 80 4 96arrow_forwardAlthough 0 dB is often referred to as the lower threshold of human hearing, it is important to realize that the human ear is not equally sensitive to all frequencies of sound. In other words, a particular noise may sound louder or softer depending on the frequency of the sound wave being transmitted. Because of this variation, scientists have defined a unit of loudness, called a phon, to represent the intensity of sound waves with a frequency of 1000 Hz: A 60-phon sound is one that is perceived by the human ear to have the same loudness as a sound wave with an intensity of 60 dB and a frequency of 1000 Hz. Figure Intensity (in dB) 100 80 60 40 20 0 30 50 100 500 100 phons 80 phons 60 phons 40 phons 20 phons 0 phons 000'I Frequency (in Hz) 000'S 10,000 1 of 1 There is no simple mathematical formula for converting phons into decibels. The relationship between these two measures of intensity has been determined by experiment. The graph (Figure 1) displays the perceived loudness of sound…arrow_forward
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