Physics for Scientists and Engineers, Volume 1, Chapters 1-22
8th Edition
ISBN: 9781439048382
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 17, Problem 17.66AP
The speed of a one-dimensional compressional wave traveling along a thin copper rod is 3.56 ktn/s. The rod is given a sharp hammer blow at one end. A listener at the far end of the rod hears the sound twice, transmitted through the metal and through air, with a time interval Δt between the two pulses, (a) Which sound arrives first? (b) Find the length of the rod as a function of Δt, (c) Find the length of the rod if Δt = 127 ms. (d) Imagine that the copper rod is replaced by another material through which the speed of sound is νr. What is the length of the rod in terms of t and νr? (e) Would the answer to part (d) go to a well-defined limit as the speed of sound in the rod goes to infinity? Explain your answer.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
The intensity at the threshold of hearing for the human ear
at a frequency of about 1000 Hz is 1l, = 1.0 × 10-12 w /m²,
for which B, the sound level, is 0 dB. The threshold of pain
at the same frequency is about 120 dB, or I = 1.0 W/m²,
corresponding to an increase of intensity by a factor of 102.
By what factor does the displacement amplitude, A, vary?
A loud factory machine produces sound having a displacement amplitude in air of 1.00 μmμm, but the frequency of this sound can be adjusted. In order to prevent ear damage to the workers, the maximum pressure amplitude of the sound waves is limited to 10.0 PaPa. Under the conditions of this factory, the bulk modulus of air is 1.30×105 PaPa. The speed of sound in air is 344 m/sm/s.
What is the highest-frequency sound to which this machine can be adjusted without exceeding the prescribed limit?
Express your answer in hertzes.
Sound is detected when a sound wave causes the tympanic membrane (the ear drum) 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) into 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.
Chapter 17 Solutions
Physics for Scientists and Engineers, Volume 1, Chapters 1-22
Ch. 17 - If you blow across the top of an empty soft-drink...Ch. 17 - A vibrating guitar string makes very little sound...Ch. 17 - Increasing the intensity of a sound by a factor of...Ch. 17 - Consider detectors of water waves at three...Ch. 17 - You stand on a platform at a train station and...Ch. 17 - An airplane flying with a constant velocity moves...Ch. 17 - Table 17.1 shows the speed of sound is typically...Ch. 17 - Prob. 17.2OQCh. 17 - As you travel down the highway in your car, an...Ch. 17 - What happens to a sound wave as it travels from...
Ch. 17 - A church bell in a steeple rings once. At 300 m in...Ch. 17 - If a 1.00-kHz sound source moves at a speed of...Ch. 17 - Prob. 17.7OQCh. 17 - Assume a change at the source of sound reduces the...Ch. 17 - A point source broadcasts sound into a uniform...Ch. 17 - Suppose an observer and a source of sound are both...Ch. 17 - Prob. 17.11OQCh. 17 - With a sensitive sound-level meter, you measure...Ch. 17 - Doubling the power output from a sound source...Ch. 17 - Of the following sounds, which one is most likely...Ch. 17 - How can an object move with respect to an observer...Ch. 17 - Older auto-focus cameras sent out a pulse of sound...Ch. 17 - A friend sitting in her cat far down the toad...Ch. 17 - How can you determine that the speed of sound is...Ch. 17 - Prob. 17.5CQCh. 17 - You are driving toward a cliff and honk your horn....Ch. 17 - The radar systems used by police to detect...Ch. 17 - The Tunguska event. On June 30, 1908, a meteor...Ch. 17 - A sonic ranger is a device that determines the...Ch. 17 - A sinusoidal sound wave moves through a medium and...Ch. 17 - As a certain sound wave travels through the air,...Ch. 17 - Write an expression that describes the pressure...Ch. 17 - An experimenter wishes to generate in air a sound...Ch. 17 - Calculate the pressure amplitude of a 2.00-kHz...Ch. 17 - Earthquakes at fault lines in the Earths crust...Ch. 17 - A dolphin (Fig. P17.7) in seawater at a...Ch. 17 - A sound wave propagates in air at 27C with...Ch. 17 - Ultrasound is used in medicine both for diagnostic...Ch. 17 - A sound wave in air has a pressure amplitude equal...Ch. 17 - Prob. 17.11PCh. 17 - A rescue plane flies horizontally at a constant...Ch. 17 - A flowerpot is knocked off a window ledge from a...Ch. 17 - In the arrangement shown in Figure P17.14. an...Ch. 17 - The speed of sound in air (in meters per second)...Ch. 17 - A sound wave moves down a cylinder as in Figure...Ch. 17 - A hammer strikes one end of a thick iron rail of...Ch. 17 - A cowboy stands on horizontal ground between two...Ch. 17 - Calculate the sound level (in decibels) of a sound...Ch. 17 - The area of a typical eardrum is about 5.00 X 10-5...Ch. 17 - The intensity of a sound wave at a fixed distance...Ch. 17 - The intensity of a sound wave at a fixed distance...Ch. 17 - Prob. 17.23PCh. 17 - The sound intensity at a distance of 16 in from a...Ch. 17 - The power output of a certain public-address...Ch. 17 - A sound wave from a police siren has an intensity...Ch. 17 - A train sounds its horn as it approaches an...Ch. 17 - As the people sing in church, the sound level...Ch. 17 - The most soaring vocal melody is in Johann...Ch. 17 - Show that the difference between decibel levels 1...Ch. 17 - A family ice show is held at an enclosed arena....Ch. 17 - Two small speakers emit sound waves of' different...Ch. 17 - A firework charge is detonated many meters above...Ch. 17 - A fireworks rocket explodes at a height of 100 m...Ch. 17 - Prob. 17.35PCh. 17 - Why is the following situation impossible? It is...Ch. 17 - An ambulance moving at 42 m/s sounds its siren...Ch. 17 - Prob. 17.38PCh. 17 - A driver travels northbound on a highway at a...Ch. 17 - Submarine A travels horizontally at 11.0 m/s...Ch. 17 - Review. A block with a speaker bolted to it is...Ch. 17 - Review. A block with a speaker bolted to it is...Ch. 17 - Expectant parents are thrilled to hear their...Ch. 17 - Why is the following situation impossible? At the...Ch. 17 - Prob. 17.45PCh. 17 - Prob. 17.46PCh. 17 - A supersonic jet traveling at Mach 3.00 at an...Ch. 17 - Prob. 17.48APCh. 17 - Some studies suggest that the upper frequency...Ch. 17 - Prob. 17.50APCh. 17 - Prob. 17.51APCh. 17 - Prob. 17.52APCh. 17 - Prob. 17.53APCh. 17 - A train whistle (f = 400 Hz) sounds higher or...Ch. 17 - An ultrasonic tape measure uses frequencies above...Ch. 17 - The tensile stress in a thick copper bar is 99.5%...Ch. 17 - Review. A 150-g glider moves at v1 = 2.30 m/s on...Ch. 17 - Consider the following wave function in SI units:...Ch. 17 - Prob. 17.59APCh. 17 - Prob. 17.60APCh. 17 - To measure her speed, a skydiver carries a buzzer...Ch. 17 - Prob. 17.62APCh. 17 - Prob. 17.63APCh. 17 - Prob. 17.64APCh. 17 - A police car is traveling east at 40.0 m/s along a...Ch. 17 - The speed of a one-dimensional compressional wave...Ch. 17 - Prob. 17.67APCh. 17 - Three metal rods are located relative to each...Ch. 17 - Prob. 17.69APCh. 17 - A siren mounted 011 the roof of a firehouse emits...Ch. 17 - Prob. 17.71CPCh. 17 - In Section 16.7, we derived the speed of sound in...Ch. 17 - Equation 16.40 states that at distance r away from...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- 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 steel wire of length 30.0 m and a copper wire of length 20.0 m, both with 1.00-mm diameters, are connected end to end and stretched to a tension of 150 N. During what time interval will a transverse wave travel the entire length of the two wires?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_forward
- Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)arrow_forwardTwo sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 7.00 cm, a wave number of k=3.00 m-1, an angular frequency of =2.50 s-1, and a period of 6.00 s, but one has a phase shift of an angle =12 rad. What is the height of the resultant wave at a time t=2.00 s and a position x=0.53 m?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_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_forwardSome 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_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
- A sound wave is traveling in seawater, where the adiabatic bulk modulus and density are 2.31 × 109 Pa and 1025 kg/m3, respectively. The wavelength of the sound is 3.22 m. A tuning fork is struck under water and vibrates at 440.0 Hz. What would be the beat frequency heard by an underwater swimmer?arrow_forwardIf a human ear canal can be thought of as resembling an organ pipe, closed at one end, that resonates at a fundamental frequency of 3.0 x 103 Hz, what is the length of the canal? Use a normal body temperature of 37.0°C for your determination of the speed of sound in the canal.arrow_forward(a) An experimenter wishes to generate in air a sound wave that has a displacement amplitude of 6.20 10-6 m. The pressure amplitude is to be limited to0.850 Pa. What is the minimum wavelength the sound wave can have? (Take the equilibrium density of air to be ρ = 1.20 kg/m3 and assume the speed of sound in air is v = 343 m/s.) (b) Calculate the pressure amplitude of a 2.80 kHz sound wave in air, assuming that the displacement amplitude is equal to 2.00 ✕ 10-8 m.[Note: Use the following values, as needed. The equilibrium density of air is ρ = 1.20 kg/m3. The speed of sound in air is v = 343 m/s. Pressure variations ΔP are measured relative to atmospheric pressure, 1.013 ✕ 105 Pa.] (c) Earthquakes at fault lines in Earth's crust create seismic waves, which are longitudinal (P-waves) or transverse (S-waves). The P-waves have a speed of about 9 km/s. Estimate the average bulk modulus of Earth's crust given that the density of rock is about 2500 kg/m3.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
What Are Sound Wave Properties? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=GW6_U553sK8;License: Standard YouTube License, CC-BY