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Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter17: Traveling Waves
Section: Chapter Questions
Problem 31PQ
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Number 41 explain how you got to the answer please
stn of the öčean waves in Example 14.5 if the calm water you encounter at 33 m is the second calm region on your voyage from the center line? 53. Section 14.7 Standing Waves 54 40. A 2.0-m-long string is clamped at both ends. (a) Find the longest- wavelength standing wave possible on this string. (b) If the wave speed is 56 m/s, what's the lowest standing-wave frequency? When a stretched string is clamped at both ends, its fundamental frequency is 140 Hz. (a) What's the next higher frequency? If the same string, with the same tension, is now clamped at one end and free at the other, what are (b) the fundamental and (c) the next higher frequency? 42. A string is clamped at both ends and tensioned until its funda- mental frequency is 85 Hz. If the string is then held rigidly at its midpoint, what's the lowest frequency at which it will vibrate? 43. A crude model of the human vocal tract treats it as a pipe closed at one end. Find the effective length of the vocal tract in a per- son whose fundamental tone is 620 Hz. Sound speed in air at body temperature is 354 m/s. 55 41. 50 Section 14.8 The Doppler Effect and Shock Waves
Transcribed Image Text:stn of the öčean waves in Example 14.5 if the calm water you encounter at 33 m is the second calm region on your voyage from the center line? 53. Section 14.7 Standing Waves 54 40. A 2.0-m-long string is clamped at both ends. (a) Find the longest- wavelength standing wave possible on this string. (b) If the wave speed is 56 m/s, what's the lowest standing-wave frequency? When a stretched string is clamped at both ends, its fundamental frequency is 140 Hz. (a) What's the next higher frequency? If the same string, with the same tension, is now clamped at one end and free at the other, what are (b) the fundamental and (c) the next higher frequency? 42. A string is clamped at both ends and tensioned until its funda- mental frequency is 85 Hz. If the string is then held rigidly at its midpoint, what's the lowest frequency at which it will vibrate? 43. A crude model of the human vocal tract treats it as a pipe closed at one end. Find the effective length of the vocal tract in a per- son whose fundamental tone is 620 Hz. Sound speed in air at body temperature is 354 m/s. 55 41. 50 Section 14.8 The Doppler Effect and Shock Waves
Expert Solution
Step 1

41)

a)

When both the ends of the string is clamped all harmonics exists (both odd and even). The higher frequency can be found from fundamental frequency as

fn=nf1

Next higher frequency is

f2=2140 Hz=280 Hz

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