A tube 1.30 m long is closed at one end. A stretched wire is placed near the open end. The wire is 0.235 m long and has a mass of 9.50 g. It is fixed at both ends and oscillates in its fundamental mode, By resonance, it sets the air column in the tube into oscillation at that column's fundamental frequency. (Use 343 m/s for the speed of sound in air.) (a) Find that frequency. 65.96 v Hz (b) Find the tension in the wire. 38 You need the formula for resonant frequencies in a tube with only one open end. The fundamental frequency of the tube matches the fundamental frequency of the wire. You need to use the formula for the resonant frequencies of a string. Can you get the linear density from the given mass and length? N D GO Tutorial

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A tube 1.30 m long is closed at one end. A stretched wire is placed near the open end. The wire is 0.235 m long and has a mass of 9.50 g. It is fixed at both ends and oscillates
in its fundamental mode. By resonance, it sets the air column in the tube into oscillation at that column's fundamental frequency. (Use 343 m/s for the speed of sound in air.)
(a) Find that frequency.
65.96
Hz
(b) Find the tension in the wire.
38
You need the formula for resonant frequencies in a tube with only one open end. The fundamental frequency of the tube matches the fundamental frequency of the
wire. You need to use the formula for the resonant frequencies of a string. Can you get the linear density from the given mass and length? N
GO Tutorial
Transcribed Image Text:A tube 1.30 m long is closed at one end. A stretched wire is placed near the open end. The wire is 0.235 m long and has a mass of 9.50 g. It is fixed at both ends and oscillates in its fundamental mode. By resonance, it sets the air column in the tube into oscillation at that column's fundamental frequency. (Use 343 m/s for the speed of sound in air.) (a) Find that frequency. 65.96 Hz (b) Find the tension in the wire. 38 You need the formula for resonant frequencies in a tube with only one open end. The fundamental frequency of the tube matches the fundamental frequency of the wire. You need to use the formula for the resonant frequencies of a string. Can you get the linear density from the given mass and length? N GO Tutorial
Expert Solution
Step 1

T /u = (2fL)2 

u = m/L = 9.5×10-3/ 0.235 = 40.4255× 10-3 kg/m 

f = 65.96 Hz 

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