Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 16, Problem 16.9OQ
The distance between two successive peaks of a sinusoidal wave traveling along a string is 2 in. If the frequency of this wave is 4 Hz. what is the speed of the wave? (a) 4 m/s (b) 1 m/s (c) 8 m/s (d) 2 m/s (e) impossible to answer from the information given
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The distance between the first and the third nodes of a standing wave is 0.2 m, its maximum displacement is 0.02 m and its frequency is 40 Hz. The wave-functions of the two travelling waves which interfere to give the standing wave are then:
y1 = 0.01 sin(10πx-80πt) ; y2 = 0.01 sin(10πx+80πt),
y1 = 0.02 sin(20πx-320πt) ; y2 = 0.02 sin(20πx+320πt),
y1 = 0.01 sin(5πx-40πt) ; y2 = 0.01 sin(5πx+40πt),
y1 = 0.04 sin(20πx-320πt) ; y2 = 0.04 sin(20πx+320πt),
y1 = 0.005 sin(5πx-40πt) ; y2 = 0.005 sin(5πx+40πt),
A traveling sinusoidal wave is described by the wave function
TL
y(x, t) = (0.642 m)sin(6.73πt — ñx + -
3.
where x and y are in meters and t is in seconds.
(a) What is the wavelength of the wave?
m
(b) What is the frequency of the wave?
Hz
(c) What is the amplitude of the wave?
m
(d) What is the speed of propagation of the wave?
m/s
Two waves are described by y1 = 0.30 sin[p (5x - 200t)] and y2 = 0.30 sin[p (5x - 200t) + p/3], where y1, y2, and x are in meters and t is in seconds.When these two waves are combined, a traveling wave is produced.What are the (a) amplitude, (b) wave speed, and (c) wavelength of that traveling wave?
Chapter 16 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 16 - Prob. 16.1QQCh. 16 - A sinusoidal wave of frequency f is traveling...Ch. 16 - The amplitude of a wave is doubled, with no other...Ch. 16 - Suppose you create a pulse by moving the free end...Ch. 16 - Which of the following, taken by itself, would be...Ch. 16 - If one end of a heavy rope is attached to one end...Ch. 16 - Prob. 16.2OQCh. 16 - Rank the waves represented by the following...Ch. 16 - By what factor would von have to multiply the...Ch. 16 - When all the strings on a guitar (Fig. OQ16.5) are...
Ch. 16 - Which of the following statements is not...Ch. 16 - Prob. 16.7OQCh. 16 - Prob. 16.8OQCh. 16 - The distance between two successive peaks of a...Ch. 16 - Prob. 16.1CQCh. 16 - (a) How would you create a longitudinal wave in a...Ch. 16 - When a pulse travels on a taut string, does it...Ch. 16 - Prob. 16.4CQCh. 16 - If you steadily shake one end of a taut rope three...Ch. 16 - (a) If a long rope is hung from a ceiling and...Ch. 16 - Why is a pulse on a string considered to be...Ch. 16 - Does the vertical speed of an element of a...Ch. 16 - In an earthquake, both S (transverse) and P...Ch. 16 - A seismographic station receives S and P waves...Ch. 16 - Ocean waves with a crest-to-crest distance of 10.0...Ch. 16 - At t = 0, a transverse pulse in a wire is...Ch. 16 - Two points A and B on the surface of the Earth are...Ch. 16 - A wave is described by y = 0.020 0 sin (kx - t),...Ch. 16 - A certain uniform string is held under constant...Ch. 16 - A sinusoidal wave is traveling along a rope. The...Ch. 16 - For a certain transverse wave, the distance...Ch. 16 - Prob. 16.9PCh. 16 - When a particular wire is vibrating with a...Ch. 16 - The string shown in Figure P16.11 is driven at a...Ch. 16 - Consider the sinusoidal wave of Example 16.2 with...Ch. 16 - Prob. 16.13PCh. 16 - (a) Plot y versus t at x = 0 for a sinusoidal wave...Ch. 16 - A transverse wave on a siring is described by the...Ch. 16 - A wave on a string is described by the wave...Ch. 16 - A sinusoidal wave is described by the wave...Ch. 16 - A sinusoidal wave traveling in the negative x...Ch. 16 - (a) Write the expression for y as a function of x...Ch. 16 - A transverse sinusoidal wave on a string has a...Ch. 16 - Review. The elastic limit of a steel wire is 2.70 ...Ch. 16 - A piano siring having a mass per unit length equal...Ch. 16 - Transverse waves travel with a speed of 20.0 m/s...Ch. 16 - A student taking a quiz finds on a reference sheet...Ch. 16 - An Ethernet cable is 4.00 in long. The cable has a...Ch. 16 - A transverse traveling wave on a taut wire has an...Ch. 16 - A steel wire of length 30.0 m and a copper wire of...Ch. 16 - Why is the following situation impossible? An...Ch. 16 - Tension is maintained in a string as in Figure...Ch. 16 - Review. A light string with a mass per unit length...Ch. 16 - Prob. 16.31PCh. 16 - In a region far from the epicenter of an...Ch. 16 - Transverse waves are being generated on a rope...Ch. 16 - Sinusoidal waves 5.00 cm in amplitude are to be...Ch. 16 - A sinusoidal wave on a string is described by die...Ch. 16 - A taut tope has a mass of 0.180 kg and a length...Ch. 16 - A long string carries a wave; a 6.00-m segment of...Ch. 16 - A horizontal string can transmit a maximum power...Ch. 16 - The wave function for a wave on a taut siring is...Ch. 16 - A two-dimensional water wave spreads in circular...Ch. 16 - Prob. 16.41PCh. 16 - Prob. 16.42PCh. 16 - Show that the wave function y = eb(x vt) is a...Ch. 16 - Prob. 16.44PCh. 16 - Prob. 16.45APCh. 16 - The wave is a particular type of pulse that can...Ch. 16 - A sinusoidal wave in a rope is described by the...Ch. 16 - The ocean floor in underlain by a layer of basalt...Ch. 16 - Review. A 2.00-kg I Jock hangs from a rubber cord,...Ch. 16 - Review. A block of mass M hangs from a rubber...Ch. 16 - A transverse wave on a sting described by the wave...Ch. 16 - A sinusoidal wave in a string is described by the...Ch. 16 - Review. A block of mass M, supported by a string,...Ch. 16 - An undersea earthquake or a landslide can produce...Ch. 16 - Review. A block of mass M = 0.450 kg is attached...Ch. 16 - Review. A block of mass M = 0.450 kg is attached...Ch. 16 - Prob. 16.57APCh. 16 - Prob. 16.58APCh. 16 - A wire of density is tapered so that its...Ch. 16 - A rope of total mass m and length L is suspended...Ch. 16 - Prob. 16.61APCh. 16 - Prob. 16.62APCh. 16 - Review. An aluminum wire is held between two...Ch. 16 - Assume an object of mass M is suspended from the...Ch. 16 - Prob. 16.65CPCh. 16 - A string on a musical instrument is held under...Ch. 16 - If a loop of chain is spun at high speed, it can...
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