A transverse wave propagates in a very long wire of mass per unit length 4 x...

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Physics

A transverse wave propagates in a very long wire of mass perunit length 4 x 10^3 kg/m and under tension of 360 N. An observernext to the wire notices 10 wave peaks (or 'crests') passing her ina time of 2 seconds moving to the left.
a. If at t = 0 and x = 0 the displacement assumes its maximumvalue of 1 mm, what is the explicit equation for the wave?
b. Calculate the maximum longitudinal velocity for ainfinitesimal segment of the wire (a 'particle' on the wire if youlike)?
Now assume the same wire has been fixed on both ends so that thetwo fixed points are separated by unknown length L. The tensionremains the same. One of the resonance frequencies of the wire is375 Hz. The next higher resonance frequency is 450 Hz.
c. What is the fundamental frequency of the string?

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4.1 Ratings (631 Votes)

Givenmass per unit length 4 103 kgTension T 360 NIn 2 seconds 10 wave peaks are observedSince in one time period one peak is observed this means10T 2 T 210 02 sNowfrequency f 1T 102 5 HzNowVelocity of wave v 03 See Answer

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