University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 16, Problem 16.10E
CALC (a) Show that the fractional change in the speed of sound (dυ/υ) due to a very small temperature change dT is given by dυ/υ =
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The number is the equation number.
The accepted value for the speed of sound in dry air is 331.50 m/s at 0 °C. This speed increases by 0.607 m/s for each additional °C. Compute the accepted value for the speed of sound in air at a room temperature of 27 °C, also known as 300 K because T = 273.15 + t ( Here t is in degree Celsius).
Q.2: Calculate the difference in the speeds of sound in air at -3°C, 60 cm pressure
of mercury and 30°C, 75 cm pressure of mercury. The speed of sound in air at 0°C
is 332 m/s.
Chapter 16 Solutions
University Physics (14th Edition)
Ch. 16 - Prob. Q16.1DQCh. 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. Q16.7DQCh. 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. Q16.15DQCh. 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. Q16.20DQCh. 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. Q16.25DQCh. 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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- Table 17.1 shows the speed of sound is typically an order of magnitude larger in solids than in gases. To what can this higher value be most directly attributed? (a) the difference in density between solids and gases (b) the difference in compressibility between solids and gases (c) the limited size of a solid object compared to a free gas (d) the impossibility of holding a gas under significant tensionarrow_forwardOn a particular day the speed of sound in air is 340 m/s. If a plane flies at a speed of 680 m/s, is its Mach number (a) 1.5, (b) 2.0, (c) 2.5, or (d) 2.7?arrow_forwardA sound wave traveling in air has a pressure amplitude of 0.5 Pa. What is the intensity of the wave?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_forwardCompute the molecular mass M of a gas for which y = 1.40 and in which the speed of sound is 1260 m/s at precisely 0°C.arrow_forwardOn a warm summer day (33 ∘C), it takes 4.90 s for an echo to return from a cliff across a lake. On a winter day, it takes 5.30 s . The speed of sound in air is v≈(331+0.60T)m/s, where T is the temperature in ∘C. What is the temperature on the winter day?arrow_forward
- Calculate the speed of sound v in air using the formula v = √γRT/M, where γ = 1.4, R=8.315 J/mol·K , M = 28.8x10-3Kg/mol and T is the room temperature in Kelvin. (T=25.5 Celsius)arrow_forwardNotice from Table that (a) water and mercury and(b) aluminum and steel have nearly the same speeds ofsound, yet the second of each pair of materials is muchdenser. Can you account for this oddity? Can moleculartheory explain it?arrow_forwardThe speed of sound in air is 331 m/s at atmospheric pressure and 0 Celsius. Suppose you put a electronic pinger in an air-tight glass jar and change the pressure of the air inside by a factor 1.6, while the volume, composition and temperature of the air remain the same. What speed would you measure for the sound inside the jar? Give your answer in m/s.arrow_forward
- Speed of sound (vo) in dry air at 0°C is 331 m/s. Therefore, at room temperature (23°C) the speed (vT) will be O [331 x 296) /273)] m/s O [(331 x 23) /273] m/s O [331/(296/273)] m/s V[331 (23/273)] m/sarrow_forwardProve that the speed of sound in air is given by T v = 331m/s 273K Where y 1.4, M 0.02897 kg/mol, and R 8.31 J/mol and T is the temperature. %3Darrow_forwardYou are watching a pier being constructed on the far shore of a saltwater inlet when some blasting occurs. You hear the sound in the water 2.86 s before it reaches you through the air. How wide is the inlet? Assume the temperature is 20 degrees C, the speed of sound in air at 0 degrees C is 331 m/s, and the speed of sound in saltwater is 1530 m/s. Answer in units of km.arrow_forward
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