Physics, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134020853
Author: James S. Walker
Publisher: PEARSON
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Textbook Question
Chapter 14, Problem 19PCE
Use dimensional analysis to show how the speed v of a wave on a string of circular cross section depends on the tension in the string, F, the radius of the string, R, and its mass per volume, ρ.
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Use dimensional analysis to find how the speed vvv of a wave on a string of circular cross section depends on the tension in the string, T, the radius of the string, R, and its mass per volume, ρ (rho).
Express your answer in terms of the variables T, R, and ρ(rho).
A string is under a tension of T = 141 N. The string has a mass of m = 8 g and length L. When the string is plucked the velocity of the wave on the string is V = 291 m/s.
Part (a) What is the length of the string, in meters?
Part (b) If L is one wavelength, what is the frequency, in hertz?
A wire of volume density ρ is tapered so that its cross-sectional area varies according to:
A = 1.00*10-5x + 1.00*10-6 where A is measured in meters squared and x is in meters. The tension in the wire is T.
a) Find an equation for the speed of the wave as a function of position v(x).
b) If T is 24 N and ρ is 2700 kg/m3, determine how long it would take for a wave to propagate from one end to the other end, a distance of 10.0 m away.
Chapter 14 Solutions
Physics, Books a la Carte Edition (5th Edition)
Ch. 14.1 - Rank the following systems in order of increasing...Ch. 14.2 - Suppose the tension in a string is doubled, its...Ch. 14.3 - A particular harmonic wave is described by the...Ch. 14.4 - Which is faster: wave 1 in medium 1 with a...Ch. 14.5 - Enhance Your Understanding (Answers given at the...Ch. 14.6 - Observer 1 approaches a stationary 1000-Hz source...Ch. 14.7 - Prob. 7EYUCh. 14.8 - When a string oscillates with the standing wave...Ch. 14.9 - Rank the following systems in order of increasing...Ch. 14 - A long nail has been driven halfway into the side...
Ch. 14 - What type of wave is exhibited by amber waves of...Ch. 14 - In a classic TV commercial, a group of cats feed...Ch. 14 - Describe how the sound of a symphony played by an...Ch. 14 - A radar gun is often used to measure the speed of...Ch. 14 - When you drive a nail into a piece of wood, you...Ch. 14 - Explain the function of the sliding part of a...Ch. 14 - On a guitar, some strings are single wires, others...Ch. 14 - Prob. 9CQCh. 14 - A wave travels along a stretched horizontal rope....Ch. 14 - To determine: The speed of the waves Answer: The...Ch. 14 - The speed of surface waves in water decreases as...Ch. 14 - Prob. 4PCECh. 14 - A stationary boat bobs up and down with a period...Ch. 14 - Predict/Calculate A 4.5-Hz wave with an amplitude...Ch. 14 - Deepwater Waves The speed of a deepwater wave with...Ch. 14 - Prob. 8PCECh. 14 - Consider a wave on a string with constant tension....Ch. 14 - Suppose you would like to double the speed of a...Ch. 14 - Predict/Explain Two strings are made of the same...Ch. 14 - Predict/Explain Two strings are made of the same...Ch. 14 - Prob. 13PCECh. 14 - A brother and sister try to communicate with a...Ch. 14 - Predict/Calculate (a) Suppose the tension is...Ch. 14 - Prob. 16PCECh. 14 - A 4.5-m-long rope of mass 1.8 kg hangs from a...Ch. 14 - Two steel guitar strings have the same length....Ch. 14 - Use dimensional analysis to show how the speed v...Ch. 14 - Prob. 20PCECh. 14 - Write an expression for a transverse harmonic wave...Ch. 14 - The vertical displacement of a wave on a string is...Ch. 14 - As it travels through a crystal, a light wave is...Ch. 14 - Predict/Calculate A wave on a string is described...Ch. 14 - Consider a harmonic wave with the following wave...Ch. 14 - Predict/Calculate Four waves are described by the...Ch. 14 - To determine: The distance of the cliff form the...Ch. 14 - BIO Dolphin Ultrasound Dolphins of the open ocean...Ch. 14 - Prob. 29PCECh. 14 - Prob. 30PCECh. 14 - Predict/Calculate A sound wave in air has a...Ch. 14 - Prob. 32PCECh. 14 - A rock is thrown downward into a well that is 7.62...Ch. 14 - If the distance to a point source of sound is...Ch. 14 - The intensity level of sound in a truck is 88 dB....Ch. 14 - Prob. 36PCECh. 14 - Sound 1 has an intensity of 48.0 W/m2. Sound 2 has...Ch. 14 - Prob. 38PCECh. 14 - Residents of Hawaii are warned of the approach of...Ch. 14 - In a pig-calling contest, a caller produces a...Ch. 14 - Prob. 41PCECh. 14 - BIO The Human Eardrum The radius of a typical...Ch. 14 - Predict/Explain A horn produces sound with...Ch. 14 - You are heading toward an island in your speedboat...Ch. 14 - When the bell in a clock tower rings with a sound...Ch. 14 - A car approaches a train station with a speed of...Ch. 14 - BIO A bat moving with a speed of 3.25 m/s and...Ch. 14 - A motorcycle and a police car are moving toward...Ch. 14 - Hearing the siren of an approaching fire truck,...Ch. 14 - Prob. 50PCECh. 14 - Predict/Calculate Two bicycles approach one...Ch. 14 - A train on one track moves in the same direction...Ch. 14 - Two cars traveling with the same speed move...Ch. 14 - The Bullet Train The Shinkansen, the Japanese...Ch. 14 - Prob. 55PCECh. 14 - Prob. 56PCECh. 14 - A pair of in-phase stereo speakers is placed side...Ch. 14 - Predict/Calculate Two violinists, one directly...Ch. 14 - Two loudspeakers are placed at either end of a...Ch. 14 - Prob. 60PCECh. 14 - Prob. 61PCECh. 14 - Prob. 62PCECh. 14 - An organ pipe that is open at both ends is 3.5 m...Ch. 14 - A string 2.5 m long with a mass of 3.6 g is...Ch. 14 - Prob. 65PCECh. 14 - The fundamental wavelength for standing sound...Ch. 14 - A string is tied down at both ends. Some of the...Ch. 14 - Prob. 68PCECh. 14 - A guitar string 66 cm long vibrates with a...Ch. 14 - Predict/Calculate A guitar string has a mass per...Ch. 14 - Prob. 71PCECh. 14 - The organ pipe in Figure 14-49 is 2.75 m long. (a)...Ch. 14 - The frequency of the standing wave shown in Figure...Ch. 14 - An organ pipe open at both ends has a harmonic...Ch. 14 - When guitar strings A and B are plucked at the...Ch. 14 - Prob. 76PCECh. 14 - You have three tuning forks with frequencies of...Ch. 14 - Tuning a Piano To tune middle C on a piano, a...Ch. 14 - Two musicians are comparing their clarinets. The...Ch. 14 - Predict/Calculate Two strings that are fixed at...Ch. 14 - Identical cellos are being tested. One is...Ch. 14 - A friend in another city tells you that she has...Ch. 14 - Prob. 83GPCh. 14 - The fundamental of an organ pipe that is closed at...Ch. 14 - The Loudest Animal The loudest sound produced by a...Ch. 14 - Hearing a Good Hit Physicist Robert Adair, once...Ch. 14 - Prob. 87GPCh. 14 - Playing Harmonics When a 63-cm-long guitar string...Ch. 14 - BIO Measuring Hearing Loss To determine the amount...Ch. 14 - BIO Hearing a Pin Drop The ability to hear a pin...Ch. 14 - A cannon 105 m away from you shoots a cannonball...Ch. 14 - A machine shop has 120 equally noisy machines that...Ch. 14 - Predict/Calculate A bottle has a standing wave...Ch. 14 - Speed of a Tsunami Tsunamis can have wavelengths...Ch. 14 - Two trains with 124-Hz horns approach one another....Ch. 14 - Predict/Calculate Jim is speeding toward James...Ch. 14 - Two ships in a heavy fog are blowing their horns,...Ch. 14 - BIO Cracking Your Knuckles When you crack a...Ch. 14 - A steel guitar string has a tension F, length L,...Ch. 14 - A Slinky has a mass of 0.28 kg and negligible...Ch. 14 - BIO Predict/Calculate OSHA Noise Standards OSHA,...Ch. 14 - An organ pipe 3.4 m long is open at one end and...Ch. 14 - Two identical strings with the same tension...Ch. 14 - BIO The Love Song of the Midshipman Fish When the...Ch. 14 - Prob. 105GPCh. 14 - Beats and Standing Waves In Problem 59, suppose...Ch. 14 - Prob. 107PPCh. 14 - Prob. 108PPCh. 14 - Prob. 109PPCh. 14 - Prob. 110PPCh. 14 - Prob. 111PPCh. 14 - Referring to Example 14-11 Suppose the train is...Ch. 14 - Prob. 113PPCh. 14 - Prob. 114PP
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