Question

A traveling wave on a string oscillates with an amplitude of 0.080m and a frequency of...

A traveling wave on a string oscillates with an amplitude of 0.080m and a frequency of 2.5Hz. The speed of the waves on the string is 10 m/s. At t=0, the end from which the oscillations originate has a vertical displacement of 0m.

a) Find the angular frequency, period, wavelength, and wave number.

b) Write a wave function describing the wave.

c) The linear mass density μ of the string is 0.300kg/m, and tension in the spring is maintained at F=30N. What is the average power required to sustain these oscillations?

Science   Advanced-Physics   
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Answer #1

According to question,

a) Angular frequency is defined as,

Period (T) is defined as,

Wavelength can be obtained from following relation,

Wave number is,

b) In general, wave function can be written as ,

where A is amplitude,

For this case, A=0.08 m, and angular frequency is 15.7 Hz.

Thus,

c) Average power required to sustain oscillations can be obtained from relation,

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