# Assign13 - PHY 2130 Homework solutions Assignment 13 14.4...

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PHY 2130 Homework solutions Assignment 13 14.4 At 27 C 300 K T = ° = , the speed of sound in air is ( 29 ( 29 300 K 331  m s 331  m s 347  m s 273 K 273 K T v = = = The wavelength of the 20 Hz sound is 347  m s 17 m 20 Hz v f λ = = = , and that of the 20 000 Hz is 2 347  m s 1.7 10  m=1.7 cm 20 000 Hz - = = × . Thus, range of wavelengths of audible sounds at 27°C is 1.7 cm to 17 m . 14.25 With the train approaching at speed t v , the observed frequency is 345  m s 0 345  m s 442 Hz 345  m s 345  m s t t f f v v + = = - - (1) As the train recedes , the observed frequency is ( 29 345  m s 0 345  m s 441 Hz 345  m s 345  m s t t f f v v + = = - - + (2) Dividing equation (1) by (2) gives 345  m s 442 441 345  m s t t v v + = - , and solving for the speed of the train yields t v = 0.391  m s

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14.36 The mass per unit length of the wire is -3 -4 -2 0.300  10  kg 4.29 10  kg m 70.0 10  m m L μ × = = = × × , and the speed of transverse waves is 3 -4 600 N 1.18 10   m s 4.29 10  kg m F v = = = × × The fundamental or first harmonic of the wire has a wavelength of
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## This note was uploaded on 04/12/2011 for the course PHYS 2130 taught by Professor Petrov during the Spring '11 term at Wayne State University.

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Assign13 - PHY 2130 Homework solutions Assignment 13 14.4...

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