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23 Nov 2019

A string of length (L) and mass (M) vibrating with a linearfrequency (f) and amplitude (A) has a periodic transversedisturbance traveling its length at a speed (v).

L = 2.00 meters = length of string
M = 0.005 kg = mass of string
f = 100 Hz = linear frequency of vibration
A = 0.030 meters = amplitude of the period transverse wavetraveling in the string
v = 20 m/s = speed of the transverse wave traveling down thestring

Determine the following:
a) Wavelength of the periodic disturbance
b) Wave number
c) Tension in the string
d) Fundamental frequency in the string
e) Maximum transverse speed and maximum transverse acceleration ofany small bit of string
f) Displacement of the bit of string at x = L/4 when t = 0.5seconds
g) Speed of the bit of string at x = 3L/4 when t = (1/80)seconds
h) Average total energy of waves on the string
i) Average rate at which energy is transmitted along the string

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Lelia Lubowitz
Lelia LubowitzLv2
1 Jul 2019

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