A transverse sine wave with an amplitude of 2.50 mm anda wavelength of 1.80 m travels from left to right along a long, horizontal,stretched string with a speed of 36.0 m/s. Take the origin at the left endof the undisturbed string. At time t = 0 the left end of the string has itsmaximum upward displacement. (a) What are the frequency, angular frequency,and wave number of the wave? (b) What is the function y(x, t)that describes the wave? (c) What is y(t) for a particle at the left end of thestring? (d) What is y(t) for a particle 1.35 m to the right of the origin? (e)What is the maximum magnitude of transverse velocity of any particle ofthe string? (f) Find the transverse displacement and the transverse velocityof a particle 1.35 m to the right of the origin at time t = 0.0625 s.
A transverse sine wave with an amplitude of 2.50 mm and
a wavelength of 1.80 m travels from left to right along a long, horizontal,
stretched string with a speed of 36.0 m/s. Take the origin at the left end
of the undisturbed string. At time t = 0 the left end of the string has its
maximum upward displacement. (a) What are the frequency, angular frequency,
and wave number of the wave? (b) What is the function y(x, t)
that describes the wave? (c) What is y(t) for a particle at the left end of the
string? (d) What is y(t) for a particle 1.35 m to the right of the origin? (e)
What is the maximum magnitude of transverse velocity of any particle of
the string? (f) Find the transverse displacement and the transverse velocity
of a particle 1.35 m to the right of the origin at time t = 0.0625 s.
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