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 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)ae 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). (c) Your smartphone app daims an accuracy of 10% in measuring time intervals. So you calculate by how many centimeters your calculation of the length might be in error cm Need Help? Reed

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 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)ae 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). (c) Your smartphone app daims an accuracy of 10% in measuring time intervals. So you calculate by how many centimeters your calculation of the length might be in error cm Need Help? Reed

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Properties of sound

A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).

Quality Of Sound

A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.

Categories of Sound Wave

People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.

Question

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 caims 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.
cm
Need Help?
Reed H

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