Tutorials in Introductory Physics
Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 9.2, Problem 2aT

(1)

To determine

To determine the time interval for two consecutive pulses to reach a fixedpoint X in spring 1 and Y in spring 2 for transmitted pulses.

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Determine the frequency response [M(w) and (w)] for an instrument having a time constant of 10 ms. Estimate the instrument's usable frequency range to keep its dynamic error within 10%.
cannon is fired some distance away from you, and you wishto estimate that distance by determining how much soundenergy enters your ear. (a) How does the sound energydepend on the distance between the cannon and your ear?(b) Now you use the dependence you described in part a tojudge how far away the cannon is. First you estimate the distanceassuming that none of the energy in the sound wavesis dissipated (into, say, random motion of the molecules thatmake up the air), and then you repeat the estimate assumingthat some of the sound energy is dissipated. Is your first estimatehigher or lower than your second estimate?
(a) To appreciate the human ear’s twelve order of magnitude (10^12) span from barely audible to the pain threshold, consider the following. Suppose an equivalently dynamic instrument were designed to measure distances. Taking the lower limit of the instrument to be 1.00 mm, what would be the largest distance measurable? (b) To provide a perspective for the human ear’s frequency sensitivity range (audible frequency extremes differ by 10^3 ), consider a speedometer with a similar speed range. If the speedometer’s maximum speed reading is 90.0 mi/h, what is the smallest finite speed that it could register?
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