Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 16, Problem 3P
You are working for a plumber who is laying very long sections of copper pipe for a large building project. He spends a lot of time measuring the lengths of the sections with a measuring tape. You suggest a faster way to measure the length. You know that the speed of a one-dimensional compressional wave traveling along a copper pipe is 3.56 km/s. You suggest that a worker give a sharp hammer blow at one end of the pipe. Using an oscilloscope app on your smartphone, you will measure the time interval Δt between the arrival of the two sound waves due to the blow: one through the 20.0°C air and the other through the pipe. (a) To measure the length, you must derive an equation that relates the length L of the pipe numerically to the time interval Δt. (b) You measure a time interval of Δt = 127 ms between the arrivals of the pulses and, from this value, determine the length of the pipe. (c) Your smartphone app claims an accuracy of 1.0% in measuring time intervals. So you calculate by how many centimeters your calculation of the length might be in error.
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You are working for a plumber who is laying very long sections of copper pipe for a large building project. He spends a lot of time measuring the lengths of the sections with a measuring
tape. You suggest a faster way to measure the length. You know that the speed of a one-dimensional compressional wave traveling along a copper pipe is 3.56 km/s. You suggest that a
worker give a sharp hammer blow at one end of the pipe. Using an oscilloscope app on your smartphone, you will measure the time interval At between the arrival of the two sound
waves due to the blow: one through the 20.0°C air and the other through the pipe.
(a) To measure the length, you must derive an equation that relates the length L of the pipe numerically to the time interval At.
OL = (0.00263 m/s)At
OL= (0.000311 m/s)At
OL= (-380 m/s)At
OL= (380 m/s)At
(b)
You measure a time interval of At = 162 ms between the arrivals of the pulses and, from this value, determine the length of the pipe (in m).
m
(c) Your smartphone…
You are working for a plumber who is laying very long sections of copper pipe for a large building project. He spends a lot of time measuring the lengths of the sections with a measuring tape. You suggest a faster way to measure the length. You know that the speed of a one-dimensional compressional wave traveling along a copper pipe is 3.56 km/s. You suggest that a worker give a sharp hammer blow at one end of the pipe. Using an oscilloscope app on your smartphone, you will measure the time interval Δt between the arrival of the two sound waves due to the blow: one through the 20.0°C air and the other through the pipe. (a) To measurethe length, you must derive an equation that relates the length L of the pipe numerically to the time interval Δt. (b) You measure a time interval of Δt = 127 ms between the arrivals of the pulses and, from this value, determine the length of the pipe. (c) Your smartphone app claims anaccuracy of 1.0% in measuring time intervals. So you calculate by how…
You are working for a plumber who is laying very long sections of copper pipe for a large building project. He spends a lot of time measuring the lengths of the sections with
a measuring tape. You suggest a faster way to measure the length. You know that the speed of a one-dimensional compressional wave traveling along a copper pipe is
3.56 km/s. You suggest that a worker give a sharp hammer blow at one end of the pipe. Using an oscilloscope app on your smartphone, you will measure the time interval At
between the arrival of the two sound waves due to the blow: one through the 20.0°C air and the other through the pipe.
(a) To measure the length, you must derive an equation that relates the length L of the pipe numerically to the time interval At.
OL= (0.00263 m/s)at
OL- (380 m/s)ar
OL-(-380 m/s)at
OL= (0.000311 m/s)at
(b) You measure a time interval of at - 154 ms between the arrivals of the pulses and, from this value, determine the length of the pipe (in m).
m
(c) Your smartphone app…
Chapter 16 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 16.1 - Prob. 16.1QQCh. 16.2 - A sinusoidal wave of frequency f is traveling...Ch. 16.2 - The amplitude of a wave is doubled, with no other...Ch. 16.3 - Suppose you create a pulse by moving the free end...Ch. 16.4 - Which of the following, taken by itself, would be...Ch. 16.6 - If you blow across the top of an empty soft-drink...Ch. 16.8 - A vibrating guitar string makes very little sound...Ch. 16.8 - Increasing the intensity of a sound by a factor of...Ch. 16.9 - Consider detectors of water waves at three...Ch. 16.9 - You stand on a platform at a train station and...
Ch. 16.9 - An airplane flying with a constant velocity moves...Ch. 16 - A seismographic station receives S and P waves...Ch. 16 - Two points A and B on the surface of the Earth are...Ch. 16 - You are working for a plumber who is laying very...Ch. 16 - Prob. 4PCh. 16 - When a particular wire is vibrating with a...Ch. 16 - Prob. 6PCh. 16 - Prob. 7PCh. 16 - A sinusoidal wave traveling in the negative x...Ch. 16 - Prob. 9PCh. 16 - Prob. 10PCh. 16 - Prob. 11PCh. 16 - Prob. 12PCh. 16 - Tension is maintained in a string as in Figure...Ch. 16 - Prob. 14PCh. 16 - Transverse waves are being generated on a rope...Ch. 16 - Prob. 16PCh. 16 - Prob. 17PCh. 16 - A two-dimensional water wave spreads in circular...Ch. 16 - A horizontal string can transmit a maximum power...Ch. 16 - Prob. 20PCh. 16 - Show that the wave function y = eb(x vt) is a...Ch. 16 - Prob. 22PCh. 16 - Prob. 23PCh. 16 - Prob. 24PCh. 16 - Prob. 25PCh. 16 - Prob. 26PCh. 16 - Prob. 27PCh. 16 - Prob. 28PCh. 16 - Prob. 29PCh. 16 - Prob. 30PCh. 16 - The intensity of a sound wave at a fixed distance...Ch. 16 - Prob. 32PCh. 16 - The power output of a certain public-address...Ch. 16 - A fireworks rocket explodes at a height of 100 m...Ch. 16 - You are working at an open-air amphitheater, where...Ch. 16 - Prob. 36PCh. 16 - Prob. 37PCh. 16 - Submarine A travels horizontally at 11.0 m/s...Ch. 16 - Prob. 39PCh. 16 - Prob. 40PCh. 16 - Review. A block with a speaker bolted to it is...Ch. 16 - Prob. 42PCh. 16 - Prob. 43APCh. 16 - Prob. 44APCh. 16 - Prob. 45APCh. 16 - Prob. 46APCh. 16 - A sinusoidal wave in a string is described by the...Ch. 16 - Prob. 48APCh. 16 - A wire of density is tapered so that its...Ch. 16 - Prob. 50APCh. 16 - Prob. 51APCh. 16 - A train whistle (f = 400 Hz) sounds higher or...Ch. 16 - Review. A 150-g glider moves at v1 = 2.30 m/s on...Ch. 16 - Prob. 54APCh. 16 - Prob. 55APCh. 16 - Prob. 56APCh. 16 - Prob. 57CPCh. 16 - Assume an object of mass M is suspended from the...Ch. 16 - Prob. 59CPCh. 16 - Prob. 60CP
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