(a) Determine the speed of the traveling wave. m/s (b) Determine the wavelength

Question

(a) Determine the speed of the traveling wave.
m/s

(b) Determine the wavelength of the traveling wave.
m

(c) Determine the frequency of the traveling waves that make up the standing wave.
Hz

A string has a linear density of 8.40 (a) Determine the speed of the traveling wave. m/s (b) Determine the wavelength of the traveling wave. m (c) Determine the frequency of the traveling waves that make up the standing wave. Hz x 10-3 kg/m and is under a tension of 225 N. The string is 1.6 m long, is fixed at both ends, and is vibrating in the standing wave pattern shown below in the drawing.

Explanation / Answer

a) speed = sqrt (T / mu)

they give you tension (T) and linear density (mu).

speed = sqrt(225/8.40*10^-3)

sped =163.66 m/sec

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b) You can see from the picture that the wavelength is 2/3 the length of the string.

lambda = v/f

lambda=L/(3/2)

lambda= 2L/3

lambda=2x1.6 / 3

lambda=1.06 m

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c) frequency = speed / wavelen

freq=163.66/1.06

frq=154.39 Hz

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