the pressure wave that travels along the inside of an organ pipe is given in ter
ID: 1416769 • Letter: T
Question
the pressure wave that travels along the inside of an organ pipe is given in terms of distance and time by following the following function p(x,t)=(1.0 atm) sin [(6.0 rad/m)x-(4.0 rad/s)t]. (a) what is the pressure of the amplitude of the wave? (b) what is the wave number of the wave? (c) what is the frequency of the wave? (d) what is the speed of the wave?(e) what is the corresponding spatial displacement,s(x,t), from equilibrium for the pressure wave, assuming the maximum displacement is 2.0 cm?
Explanation / Answer
a) p max = 1 atm
b) wavenumber k = 6 rad/m
c) w = 4 rad/sec
w = 2pif
f = 4/2*3.14 = 0.64 Hz
d) v = w/k = 4/6 = 2/3 m/sec
e) p max = BAK
s(x,t) = A cos(kx-wt)
because both are in perpendicular to each other
s(x,t) = 2 cos((6.0 rad/m)x-(4.0 rad/s)t]
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