frequency Problem II (18 points) The left-hand end of a long horizontal stretc h
ID: 1873796 • Letter: F
Question
frequency Problem II (18 points) The left-hand end of a long horizontal stretc hed cord oscillates transversely in SHM with fre andamplitude m.At 0, the end of the cord has an upward displacement of 1.6 cm and is falling, as f = 250 Hz 2.6 cm. The cordis under a tension of 140 N and has a linear density shown in the Figure. Determine the wavelength of the waves produced, the phase angle in radians, a) b) Wave velocit Hand c) the angular frequency d) the wave number, and e) the equation for the traveling wave. lem III (20 points) ork charge is detonated many meters above the ground. At a distance of d1 500 m fro n, the acoustic pressure reaches a maximum of APmax 10.0 Pa. Assume the speed of nt at 343 m/s throughout the atmosphere over the region considered, the ground abs falling on it, and the air absorbs sound energy as described by the rate 7.00 dB/km. t are the sound intensity and sound level (in daiExplanation / Answer
a)
speed of wave is
V=sqrt[T/u]=sqrt[140/0.12]=34.16 m/s
wavelength is
lambda =V/f =34.16/250=0.1366 m
b)
From
Y(x,t)=ASin(Kx-Wt +o)
angular frequency
W=2pif =2pi*250=1570.8 rad/sec
wave number
K=2pi/lambda =2pi/0.13662=46
at t=0=>0.016=0.026sin(o)
o=38o=0.663 rad
c)
W=1570.8 rad/sec
d)
K=46
e)
Y(x,t)=(0.026 )sin(46x-1570.8t+0.663)
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