University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 15, Problem 15.28E
A fellow student with a mathematical bent tells you that the wave function of a traveling wave on a thin rope is y(x, t) = 2.30 mm cos [(6.98 rad/m)x + (742 rad/s)t]. Being more practical, you measure the rope to have a length of 1.35 m and a mass of 0.00338 kg. You are then asked to determine the following: (a) amplitude; (b) frequency; (c) wavelength; (d) wave speed; (c) direction the wave is traveling; (f) tension in the rope; (g) average power transmitted by the wave.
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Problem 4: A traveling wave along the x-axis is given by the following wave functionψ(x, t) = 3.6 cos(1.4x - 9.2t + 0.34),where x in meter, t in seconds, and ψ in meters. Read off the appropriate quantities for this wave function and find the following characteristics of this plane wave:
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Chapter 15 Solutions
University Physics (14th Edition)
Ch. 15 - Two waves travel on the same string. Is it...Ch. 15 - Under a tension F, it takes 2.00 s for a pulse to...Ch. 15 - What kinds of energy are associated with waves on...Ch. 15 - The amplitude of a wave decreases gradually as the...Ch. 15 - Prob. Q15.5DQCh. 15 - The speed of ocean waves depends on the depth of...Ch. 15 - Is it possible to have a longitudinal wave on a...Ch. 15 - For transverse waves on a string, is the wave...Ch. 15 - The four strings on a violin have different...Ch. 15 - Prob. Q15.10DQ
Ch. 15 - Prob. Q15.11DQCh. 15 - Prob. Q15.12DQCh. 15 - In a transverse wave on a string, the motion of...Ch. 15 - Energy can be transferred along a string by wave...Ch. 15 - Prob. Q15.15DQCh. 15 - If you stretch a rubber band and pluck it, you...Ch. 15 - A musical interval of an octave corresponds to a...Ch. 15 - By touching a string lightly at its center while...Ch. 15 - Prob. Q15.19DQCh. 15 - Violins are short instruments, while cellos and...Ch. 15 - What is the purpose of the frets on a guitar? In...Ch. 15 - The speed of sound in air at 20C is 344 m/s. (a)...Ch. 15 - BIO Audible Sound. Provided the amplitude is...Ch. 15 - Prob. 15.3ECh. 15 - BIO Ultrasound Imaging. Sound having frequencies...Ch. 15 - Prob. 15.5ECh. 15 - A fisherman notices that his boat is moving up and...Ch. 15 - Transverse waves on a siring have wave speed 8.00...Ch. 15 - Prob. 15.8ECh. 15 - Prob. 15.9ECh. 15 - A water wave traveling in a straight line on a...Ch. 15 - A sinusoidal wave is propagating along a stretched...Ch. 15 - CALC Speed of Propagation vs. Particle Speed. (a)...Ch. 15 - A transverse wave on a string has amplitude 0.300...Ch. 15 - Prob. 15.14ECh. 15 - One end of a horizontal rope is attached to a...Ch. 15 - With what tension must a rope with length 2.50 m...Ch. 15 - Prob. 15.17ECh. 15 - A 1.50-m string of weight 0.0125 N is tied to the...Ch. 15 - A thin, 75.0-cm wire has a mass of 16.5 g. One end...Ch. 15 - A heavy rope 6.00 m long and weighing 29.4 N is...Ch. 15 - A simple harmonic oscillator at the point x = 0...Ch. 15 - A piano wire with mass 3.00 g and length 80.0 cm...Ch. 15 - Prob. 15.23ECh. 15 - Prob. 15.24ECh. 15 - A jet plane at takeoff can produce sound of...Ch. 15 - Threshold of Pain. You are investigating the...Ch. 15 - Energy Output. By measurement you determine that...Ch. 15 - A fellow student with a mathematical bent tells...Ch. 15 - At a distance of 7.00 1012 m from a star, the...Ch. 15 - Reflection. A wave pulse on a siring has the...Ch. 15 - Reflection. A wave pulse on a string has the...Ch. 15 - Reflection. A wave pulse on a string has the...Ch. 15 - Suppose that the left-traveling pulse in Exercise...Ch. 15 - Two pulses are moving in opposite directions at...Ch. 15 - Interference of Rectangular Pulses. Figure E15.35...Ch. 15 - CALC Adjacent antinodes of a standing wave on a...Ch. 15 - Prob. 15.37ECh. 15 - Prob. 15.38ECh. 15 - A wire with mass 40.0 g is stretched so that its...Ch. 15 - A piano tuner stretches a steel piano wire with a...Ch. 15 - CALC A thin, taut string tied at both ends and...Ch. 15 - Prob. 15.42ECh. 15 - Prob. 15.43ECh. 15 - Prob. 15.44ECh. 15 - Prob. 15.45ECh. 15 - Prob. 15.46ECh. 15 - Guitar String. One of the 63.5-cm-long strings of...Ch. 15 - A transverse wave on a rope is given by...Ch. 15 - CALC A transverse sine wave with an amplitude of...Ch. 15 - CP A 1750-N irregular beam is hanging horizontally...Ch. 15 - Three pieces of string, each of length L, are...Ch. 15 - Weightless Ant. An ant with mass m is standing...Ch. 15 - You must determine the length of a long, thin wire...Ch. 15 - Music. You are designing a two-string instrument...Ch. 15 - CP A 5.00-m, 0.732-kg wire is used to support two...Ch. 15 - A uniform, 8.40-kg, spherical shell 50.0 cm in...Ch. 15 - For a string stretched between two supports, two...Ch. 15 - A 0.800-m-long string with linear mass density =...Ch. 15 - CP A 1.80-m-long uniform bar that weighs 638 N is...Ch. 15 - A continuous succession of sinusoidal wave pulses...Ch. 15 - A horizontal wire is tied to supports at each end...Ch. 15 - CP A vertical, 1.20-m length of 18-gauge (diameter...Ch. 15 - A sinusoidal transverse wave travels on a string....Ch. 15 - A vibrating string 50.0 cm long is under a tension...Ch. 15 - Clothesline Nodes. Cousin Throckmorton is once...Ch. 15 - A strong string of mass 3.00 g and length 2.20 m...Ch. 15 - A thin string 2.50 m in length is stretched with a...Ch. 15 - CALC A guitar string is vibrating in its...Ch. 15 - A uniform cylindrical steel wire, 55.0 cm long and...Ch. 15 - A string with both ends held fixed is vibrating in...Ch. 15 - CP A large rock that weighs 164.0 N is suspended...Ch. 15 - Holding Up Under Stress. A string or rope will...Ch. 15 - Tuning an Instrument. A musician tunes the...Ch. 15 - Prob. 15.74PCh. 15 - DATA In your physics lab, an oscillator is...Ch. 15 - DATA You are measuring the frequency dependence of...Ch. 15 - CP CALC A deep-sea diver is suspended beneath the...Ch. 15 - BIO WAVES ON VOCAL FOLDS. In the larynx, sound is...Ch. 15 - BIO WAVES ON VOCAL FOLDS. In the larynx, sound is...Ch. 15 - BIO WAVES ON VOCAL FOLDS. In the larynx, sound is...
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