A sinusoidal wave is sent along a string with a linear density of 2.42 g/m. As it travels, the kinetic energies of the mass elements along the string vary. Figure (a) gives the rate dk/dt at which kinetic energy passes through the string elements at a particular instant, plotted as a function of distance x along the string. Figure (b) is similar except that it gives the rate at which kinetic energy passes through a particular
A sinusoidal wave is sent along a string with a linear density of 2.42 g/m. As it travels, the kinetic energies of the mass elements along the string vary. Figure (a) gives the rate dk/dt at which kinetic energy passes through the string elements at a particular instant, plotted as a function of distance x along the string. Figure (b) is similar except that it gives the rate at which kinetic energy passes through a particular
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Transcribed Image Text:A sinusoidal wave is sent along a string with a linear
density of 2.42 g/m. As it travels, the kinetic energies
of the mass elements along the string vary. Figure (a)
gives the rate dk/dt at which kinetic energy passes
through the string elements at a particular instant,
plotted as a function of distance x along the string.
Figure (b) is similar except that it gives the rate at
which kinetic energy passes through a particular
mass element (at a particular location), plotted as a
function of time t. For both figures, the scale on the
vertical (rate) axis is set by Rs = 5 W. What is the
amplitude of the wave?
R₂
WW
0.2
Number
0.1
x (m)
(a)
Units
t (ms)
(b)
9
<>
Equation 16-30 gives dK/dt as a function of x and
t. From the first graph, can you find the
wavelength? How is it related to the angular
wave number? From the second graph, can you
find the period? How is that related to the
angular frequency? How is the wave speed
related to the angular wave number and angular
frequency?
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