What are the wavenumber and angular frequency

Reference no: EM13535350

Cables that are used to support structures sometimes need to be tested in place to ensure that they are in good shape and at the proper tension. One way to do this is to send waves through them and examine the speed and other properties of the waves. An oscillator is attached to one end of a cable which produces transverse waves. A detector is placed 10 m down the cable which is able to sense motion of the cable. If the cable is at the correct tension and uncorroded then the wave speed on the cable should be 2.54 X 10^3 m/s.

(a) The oscillator vibrates with a frequency of 282 Hz. Assuming that the cable is uncorroded and at the correct tension, what should the wavelength be?

(b) What are the wavenumber and angular frequency of this wave assuming the cable is uncorroded and at correct tension?

(c) On the electronic readout of the test equipment we see that the wire is oscillating with an amplitude of 3.00 mm and that at t = 0 the end attached to the oscillator has a displacement of 2.30 mm and is on its way up. Using the oscillator as the origin of our coordinate system, write the function that describes this wave.

Reference no: EM13535350

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