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5. How long would it take sound waves traveling through air that is 68°F to travel 2,058 meters? Use an equation to solve the problem.

Sagot :

boffeemadrid

Answer:

6 seconds

Step-by-step explanation:

Temperature of air = [tex]68^{\circ}\text{F}[/tex]

Converting to Celsius

[tex]T=(68-32)\dfrac{5}{9}=20^{\circ}\text{C}[/tex]

Speed of sound in air is given by

[tex]v=331.3\sqrt{1+\dfrac{T}{273.15}}\\\Rightarrow v=331.3\sqrt{1+\dfrac{20}{273.15}}\\\Rightarrow v=343.21\ \text{m/s}[/tex]

d = Distance to travel = 2058 m

Time is given by

[tex]t=\dfrac{d}{v}\\\Rightarrow t=\dfrac{2058}{343.21}\\\Rightarrow T=5.99\approx 6\ \text{s}[/tex]

Time taken to travel 2058 m is 6 seconds.

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