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19 November, 18:05

A student discovers that sound waves travel 1,687.5 meters in 5 seconds through air at a temperature of 10°C. Based on this information, determine the speed of sound, in m/s, through air at this temperature.

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  1. 19 November, 18:34
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    The speed of sound, in m/s, through air at this temperature is 343.5 m/s

    Explanation:

    Given;

    distance traveled by sound, d = 1,687.5 meters

    time taken for the sound to travel, t = 5 seconds

    air temperature, θ = 10°C

    Speed of sound = distance traveled by sound / time taken for the sound to travel

    Speed of sound = d / t

    = 1687.5 m / 5 s

    = 337.5 m/s

    Speed of sound at the given temperature is calculated as;

    c = 337.5 + 0.6θ

    c = 337.5 + 0.6 x 10

    c = 337.5 + 6

    c = 343.5 m/s

    Therefore, the speed of sound, in m/s, through air at this temperature is 343.5 m/s
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