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The speed of a one-dimensional compressional wave traveling along a thin copper rod is 3.56 ktn/s. The rod is given a sharp hammer blow at one end. A listener at the far end of the rod hears the sound twice, transmitted through the metal and through air, with a time interval Δt between the two pulses, (a) Which sound arrives first? (b) Find the length of the rod as a function of Δt, (c) Find the length of the rod if Δt = 127 ms. (d) Imagine that the copper rod is replaced by another material through which the speed of sound is νr. What is the length of the rod in terms of t and νr? (e) Would the answer to part (d) go to a well-defined limit as the speed of sound in the rod goes to infinity? Explain your answer.
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Chapter 17 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
- At t = 0, a transverse pulse in a wire is described by the function y=6.00x2+3.00 where xand y are in meters. If the pulse is traveling in the positive x direction with a speed of 4.50 m/s, write the function y(x, t) that describes this pulse.arrow_forwardTwo sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)arrow_forwardA steel wire of length 30.0 m and a copper wire of length 20.0 m, both with 1.00-mm diameters, are connected end to end and stretched to a tension of 150 N. During what time interval will a transverse wave travel the entire length of the two wires?arrow_forward
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