Calculate the shortest length of a tube of diameter 5 cm, that will resonate with a tuning fork of frequency 250 Hz. If the tube is (a) closed at one end, (b) open at both the ends. The velocity of sound in air is 340 m/s.
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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, 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…Just part (a)In the figure, S is a small loudspeaker driven by an audio oscillator and amplifier, adjustable in frequency from 1300 to 2400 Hz only. Tube D is a piece of cylindrical sheet-metal pipe 50.0 cm long and open at both ends. (a) If the speed of sound in air is 344 m/s at the existing temperature, at how many frequencies will a resonance occur in the pipe when the frequency emitted by the speaker is varied from 1300 Hz to 2400 Hz? (b) What is the lowest resonant frequency in the given interval? (a) Number Units (b) Number Units
- Calculate the frequency of a sound wave in helium if its displacement amplitude is 3.6 x 10-10 m and the pressure amplitude is 7.2 x 10-5 N/m². The density of helium is 0.166 kg/m³ and the speed of sound in helium is 2660 m/s. Answer in units of Hz.An organ pipe is open at both ends. It is producing sound at its n = 3 harmonic, the frequency of which is 164 Hz. Take the speed of sound to be 345 m/s. What is the length of the pipe?A piccolo and a flute can be approximated as cylindrical tubes with both ends open. The lowest fundamental frequency produced by one kind of piccolo is 544.3 Hz, and that produced by one kind of flute is 263.8 Hz. What is the ratio of the piccolo's length to the flute's length?
- A piccolo and a flute can be approximated as cylindrical tubes with both ends open. The lowest fundamental frequency produced by one kind of piccolo is 587.3 Hz, and that produced by one kind of flute is 261.6 Hz. What is the ratio of the piccolo's length to the flute's length?The lowest frequency in the audible range is 20 Hz. What are the lengths of (a) the shortest open-open tube and (b) the shortest open-closed tube needed to produce this frequency?What is the length in meters of a closed organ pipe with a fundamental frequency of 27 Hz? State your answer to the nearest m. The speed of sound in air is 343 m/s.