
University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 16, Problem Q16.15DQ
To determine
The interface at the point
P
is whether constructive or destructive.
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Students have asked these similar questions
Draw a right-handed 3D Cartesian coordinate system (= x, y and z axes). Show a vector A with
tail in the origin and sticking out in the positive x, y and z directions. Show the angles between A
and the positive x, y and z axes, and call these angles α₁, α₂ and α3
Prove that Ax Acos α₁
Ay
= Acos α₂
A₂- Acos α3
solve for Vo
Draw a third quadrant vector C. (remember that boldface characters represent vector
quantities). Show the standard angle 0 for this vector (= angle that C makes with the positive x-
axis). Also show the angle that C makes with the negative y-axis: call the latter angle 8. Finally,
show the smallest angles that C makes with the positive x-axis and the positive y-axis: call these
angles p1 and p2, repectively.
a) Prove the following formulas for the components of C involving the standard angle (hint:
start with the formulas for the components based on the angle & and then use (look up if
necessary) co-function identities linking cosine and sine of 8 to sine and cosine of 0 since 8 =
3π/2-8 (this will switch cosine and sine around and eliminate - signs as well))
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C=Ccose
C₁=Csine
b) Prove the following formulas for the components of C:
C=Ccosp1
C=Ccosp2
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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