University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
14th Edition
ISBN: 9780321982582
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 16, Problem 16.12E
To determine
The required stress in a stretched wire in order to have the speed of the longitudinal waves equal to
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A copper wire has a density of ρ = 8920 kg/m3, a radius of 1.20 mm, and a length L. The wire is held under a tension of 10.00 N. Transverse waves are sent down the wire. (a) What is the linear mass density of the wire? (b) What is the speed of the waves through the wire?
(a) What is the fastest transverse wave that can be sent along a steel wire? For safety reasons, the maximum tensile stress to which steel wires should be subjected is 7.00 * 108 N/m2.The density of steel is 7800 kg/m3. (b) Does your answer depend on the diameter of the wire?
3
4
Each end of a filament with μ = 5.20 g/m is attached to two opposite walls. The distance between the walls is the length of the filament. A block of mass m
hangs from the middle of the filament. Neglect the mass of the filament in calculating the tension.
3L
4
M.
(a) Find an expression for the transverse wave speed in the filament as a function of the mass of the block. (Use the following as necessary: m. Do not include
units in your answer. Assume that m is measured in kg and vis measured in m/s.)
V =
(b) What is the mass of the block (in kg) if the wave speed is 56.0 m/s?
kg
Chapter 16 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (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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- A 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_forwardReview. An aluminum wire is held between two clamps under zero tension at room temperature. Reducing the temperature, which results in a decrease in the wires equilibrium length, increases the tension in the wire. Taking the cross-sectional area of the wire to be 5.00 10-6 m2, the density to be 2.70 103 kg/m3, and Young's modulus to be 7.00 1010 N/m2, what strain (L/L.) results in a transverse wave speed of 100 m/s?arrow_forwardA wave on a string is driven by a string vibrator, which oscillates at a frequency of 100.00 Hz and an amplitude of 1.00 cm. The string vibrator operates at a voltage of 12.00 V and a current of 0.20 A. The power consumed by the string vibrator is P=IV . Assume that the string vibrator is 90% efficient at converting electrical energy into the energy associated with the vibrations of the string. The string is 3.00 m long, and is under a tension of 60.00 N. What is the linear mass density of the string?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_forwardA copper wire has a density of =8920 kg/m3, a radius of 1.20 mm, and a length L. The wire is held under a tension of 10.00 N. Transverse waves are sent down the wire. (a) What is the linear mass density of the wire? (b) What is the speed of the waves through the wire?arrow_forwardThe tension in a wire clamped at both ends is increased to 5.1 times its original magnitude without appreciably changing the wire's length between the clamps. What is the ratio of the new to the old wave speed for transverse waves traveling along this wire?arrow_forward
- A piano wire has a linear mass density of μ = 4.95 × 10−3 kg/m. Under what tension must the string be kept to produce waves with a wave speed of 500.00 m/s?arrow_forwardSound waves entering human ear first pass through the auditory canal before reaching the eardrum. If a typical adult has an auditory canal of 2.5cm long and 7.0mm in diameter, suppose that when you listen to ordinary conversation, the intensity of sound waves is about 3.2 × 10^−6W/m^2; a) What is the average power delivered to the eardrum?arrow_forwardWhat is the fastest transverse wave that can be sent along a given wire? For safety reasons, the maximum tensile stress to which this wire should be subjected is 5.28 × 108 N/m². The density of the wire is 8020 kg/m3. Note that your answer does not depend on the diameter of the wire. Number Unitsarrow_forward
- The speed of a transverse wave, going on a wire having a length 50 cm and mass 5.0 g, is 80 m/s. The area of cross-section of the wire is 1'0 mm ' and its Young's modulus is 16 x 10 "N/m. Find the extension of the wire over its natural length.arrow_forwardA horizontal wire is stretched with a tension of 92.0 N, and the speed of transverse waves for the wire is 406 m/s. What must the amplitude of a traveling wave of frequency 63.0 Hz be in order for the average power carried by the wave to be 0.364 W?arrow_forwardA longitudinal wave of frequency 220hz travels down a copper rod of radius 8.00mm. The average power in the wave is 6.50μW. a) Find the wavelength of the wave. B) Find the amplitude of the wave. ( ρcopper = 8.9 × 10^3kg/m^3 ; Elastic moduli of copper = 14 × 10^10N/m^2 )arrow_forward
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