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Introductory Physics Homework Help
How long would it take a sound wave to travel 150m
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[QUOTE="rpthomps, post: 5240845, member: 494922"] [h2]Homework Statement [/h2]The sound speed in air at 0 degrees Celsius is 331 m/s, and for temperatures within a few tens of degrees of 0 degrees celsius it increases at the rate 0.590 m/s for every degree celsius increase in temperature. How long would it take a sound wave to travel 150 m over a path where the temperature rises linearly from 5 degrees to 15 degrees at the other end?[h2]Homework Equations[/h2]d= 150 mv=331+0.59T##T=(\frac{1}{15})x+5\\dT=\frac{1}{15}dx##[h2]The Attempt at a Solution[/h2] ##dt=\frac { dx }{ v }\\T_{ total }=\int _{ 0 }^{ 150 }{ \frac { dx }{ v } }\\=\int _{ 0 }^{ 150 }{ \frac { 15dT }{ 331+0.59T } }\\=\frac { 15 }{ 0.59 } ln(331+0.59T){ | }_{ 0 }^{ 15 }=0.67##[B]Back of the book says .445 s [/B] [/QUOTE]
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How long would it take a sound wave to travel 150m
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