4. While leaving the movie theatre after a great show, your friend comments on how cold it is outside and asks you if you have any idea how cold it actually is. You know that you are standing 70.0 m away from the high exterior walls of the theatre. You clap your hands loudly and hear the echo of your clap 0.44 s later; you were timing this with an extremely accurate stopwatch. Calculate the temperature and impress your curious friend.

Question

Izabelle Brewer

Physics

25 June, 18:47

4. While leaving the movie theatre after a great show, your friend comments on how cold it is outside and asks you if you have any idea how cold it actually is. You know that you are standing 70.0 m away from the high exterior walls of the theatre. You clap your hands loudly and hear the echo of your clap 0.44 s later; you were timing this with an extremely accurate stopwatch. Calculate the temperature and impress your curious friend.

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Answers (1)

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Craig Huber · Answer 1

v = d / t

v = 140m / 0.55s

v = 254.5 m/s

(That's pretty slow ... At 0C, you'd expect 331m/s)

v (air) = (331.3 + 0.606T) m/s

-76.8m/s = 0.606Tm/s

-126.7C = T

That's not a reasonable temperature.

AT 0.65C, the speed would be almost exactly 331m/s.