1. A thin wire has a mass of m= 3.72 g and a length L= 20.9 cm . When properly t

Question

1. A thin wire has a mass of m= 3.72g and a length L= 20.9cm. When properly tuned, the tension in the wire is T= 284 N. What is the value of the speed in m/s of the waves along the wire.

2.What is the frequency of the third harmonic mode of vibration in Hz, when the wire is plucked? For the third harmonic, the wavelength of the wave is equal to two thirds of the wire length.

3.You make the wire oscillate so that it has 6 nodes, including both ends. Calculate the frequency in Hz of the harmonic note.

Explanation / Answer

Speed, v=sqrt(T/(M/L))

T=Tension

M=Mass of the wire

L=Length of the wire

v=sqrt(284/(0.00372/0.209))=126.31 m/s

2. Wavelength=2/3L=2/3(20.9)=13.9 cm

frequency=v/wavelength=126.31/0.139=908.7 Hz

3.Frequency,f=nv/2L=6*126.31/(2*0.209)=1813.06 Hz

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