A flute may be thought of as a pipe open at both ends. When all the holes of a well-designed flute are covered and the temperature is 20.0°C, it will produce sound with a frequency of 261.6 Hz (middle C). The speed of sound in air at 20.0°C is 343 m/s. (a) Find the length of the flute (in m), assuming middle C is the fundamental. m (b) When an identical flute is played at the same time and in the same manner (all holes covered) in a nearby cold room, a beat frequency of 5.49 Hz is heard. Determine the temperature in the cold room (in °C). °℃

A flute may be thought of as a pipe open at both ends. When all the holes of a well-designed flute are covered and the temperature is 20.0°C, it will produce sound with a frequency of 261.6 Hz (middle C). The speed of sound in air at 20.0°C is 343 m/s. (a) Find the length of the flute (in m), assuming middle C is the fundamental. m (b) When an identical flute is played at the same time and in the same manner (all holes covered) in a nearby cold room, a beat frequency of 5.49 Hz is heard. Determine the temperature in the cold room (in °C). °℃

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter18: Superposition And Standing Waves

Section: Chapter Questions

Problem 50PQ

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A flute may be thought of as a pipe open at both ends. When all the holes of a well-designed flute are covered and the temperature is 20.0°C, it will produce sound with a frequency of 261.6 Hz (middle C). The speed of sound in air at 20.0°C is 343 m/s. (a) Find the length of the flute (in m), assuming middle C is the fundamental. 0.655 ✔m (b) When an identical flute is played at the same time and in the same manner (all holes covered) in a nearby cold room, a beat frequency of 3.35 Hz is heard. Determine the temperature in the cold room (in °C). °℃ Need Help? Read It
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