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). °℃

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). °℃

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

Chapter14: Superposition And Standing Waves

Section: Chapter Questions

Problem 1OQ: A flute has a length of 58.0 cm. If the speed of sound in air is 343 m/s, what is the fundamental...

See similar textbooks

Similar questions

A pipe is observed to have a fundamental frequency of 345 Hz. Assume the pipe is filled with air (v = 343 m/s). What is the length of the pipe if the pipe is a. closed at one end and b. open at both ends?
A flute has a length of 58.0 cm. If the speed of sound in air is 343 m/s, what is the fundamental frequency of the flute, assuming it is a tube closed at one end and open at the other? (a) 148 Hz (b) 296 Hz (c) 444 Hz (d) 591 Hz (e) none of those answers
A sound wave in air has a pressure amplitude equal to 4.00 103 Pa. Calculate the displacement amplitude of the wave at a frequency of 10.0 kHz.
A sound wave traveling in air has a pressure amplitude of 0.5 Pa. What is the intensity of the wave?
On a particular day the speed of sound in air is 340 m/s. If a plane flies at a speed of 680 m/s, is its Mach number (a) 1.5, (b) 2.0, (c) 2.5, or (d) 2.7?
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, the cold room (in °C). beat frequency of 1.60 Hz is heard. Determine the temperature in x First, 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 of sound 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 the cold room and how the speed of sound depends on the temperature, you can now…
The speed of sound in an ideal gas (not air) is 750 m/s at -50°C. What is the speed of sound in the same gas at T = 55°C? The absolute zero temperature is -273.15°C. The speed of sound, cs(T = 55°C) = Units
A sound wave at 20° C has pressure amplitude of 2.00 Pa. The density of air is 1.2 Kg/m and the threshold for hearing intensity is 1012 w/m2. The speed of sound in air is 344 m/s. (a) Find the intensity of the sound wave. (b) Find the intensity in decibels.
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 sound wave has a frequency of 632 Hz in air and a wavelength of 0.51 m. What is the temperature of the air? Assume the velocity of sound at 0°C is 331 m/s. Answer in units of °C.
A sound wave traveling in 20°C air has a pressure amplitude of 0.800 Pa. What is the intensity of the wave? (Assume the density of air is 1.29 kg/m3. Enter your answer in W/m2.)
A pipe open at both ends has a fundamental frequency of 3.00 x 102 Hz when the temperature is 0°C. (a) What is the length of the pipe? (b) What is the fundamental frequency at a temperature of 30.0°C?