The temperature of outside the orchestra.

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Chapter 17, Problem 29P

To determine

The temperature of outside the orchestra.

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You are a flutist in a local orchestra. On a cold winter day, you are late to a performance. Arriving at the orchestra hall, you know that you have missed the group tune-up before the performance, so you tune your instrument in the cold air outside the stage door. After tuning, you run inside the auditorium, where the temperature is 22.2°C, take your seat, and begin playing the first song with the rest of the orchestra. You are quite embarrassed to notice that you are playing the song a half-step higher than your colleagues in the orchestra. Your excitement about physics overcomes your musical embarrassment as you realize that you can use this information to calculate the temperature outside. (Assume that the length of the instrument does not change with temperature. A half-step represents a frequency ratio of 21/12.)

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