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.0.655m(b) When an identical flute is played at the same time and in the same manner (all holes covered) in a nearby cold room,the cold room (in °C).beat frequency of 1.60 Hz is heard. Determine the temperature inxFirst, establish if the frequency in the cold room will be greater or smaller than in the warm room. See if you can write an expression which shows how the frequency depends on speed ofsound and the length of the flute for both the warm and cold room and then combine these expressions to obtain the speed of sound in the cold room. Knowing the speed of sound in thecold room and how the speed of sound depends on the temperature, you can now determine the temperature in the cold room. °C

Data we have speed of sound waves,v=343m/s frequency,f=261.6Hz To find the length of the flute…

(middle C). The speed of sound in air at 20.0°C is 343 m/s. the Roles 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 (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 1.60 Hz is heard. Determine the temperature in the cold room (in °C). First, establish if the frequency in the cold room will be greater

(middle C). The speed of sound in air at 20.0°C is 343 m/s. the Roles 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 (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 1.60 Hz is heard. Determine the temperature in the cold room (in °C). First, establish if the frequency in the cold room will be greater

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Mechanical Waves

Section: Chapter Questions

Problem 9OQ

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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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