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RideAnS [48]
3 years ago
13

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 pr

oblem.
Mathematics
1 answer:
svp [43]3 years ago
4 0

Answer:

6 seconds

Step-by-step explanation:

Temperature of air = 68^{\circ}\text{F}

Converting to Celsius

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

Speed of sound in air is given by

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}

d = Distance to travel = 2058 m

Time is given by

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

Time taken to travel 2058 m is 6 seconds.

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