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23 Nov 2019

A string has a linear density of 5.5 x 10-3 kg/mandis under a tension of 380 N. The string is 2.0 m long, is fixedatboth ends, and is vibrating in the standing wave pattern showninthe drawing. Determine the (a)speed,(b) wavelength, and (c)frequencyof the traveling waves that make up the standingwave.
I got 260 for the speed and 200 for the frequency.However,when I tried to find the wavelength I got 1.3 (two sigfigs) and itsaid it was wrong. Can someone tell me what I didwrong?

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Patrina Schowalter
Patrina SchowalterLv2
4 Jan 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

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1) The equation of a transverse wave on a string is
y = (2.0mm) sin[(20 m-1)x - (600 s-1)t]

The tension in the string is 15 N. (a) What is the wave speed?(b) Find the linear density of this string in grams per meter.

2) What phase difference between two identical traveling waves,moving in the same direction along a streched string, results inthe vombined wave having an amplitude 1.50 times that of the commonamplitude of the two combining waves? Express your answer in (a)degress, (b) radians, and (c) wavelengths.

3) A rope, under a tension of 200 N and fixed at both ends,oscillates in a second-harmonic standing wave pattern. Thedisplacement of the rope is given by

y= (0.10 m (sin π/2) sin 12πt,

where x=0 at one end of the rope, x is in meters, and t is inseconds. What are (a) the lenght of the rope, (b) the speed of therope, and (c) the mass of the rope ? (d) If the rope oscillates ina third-harmonic standing wave pattern, what will be the period ofoscillation?

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