2/4 points| Previous Answers My Notes + For a particular transverse wave that tr

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2/4 points| Previous Answers My Notes + For a particular transverse wave that travels along a string that lies on the x-axis, the equation of motion is: y = (0.0700 m) sin | (6.00 rad/s)t + (20.0 m-1)s (a) Determine the wave's wavelength. 31 (b) Calculate the tension in the string, if the string has a mass per unit length of 0.0400 kg/m. .039 (c) In which direction is the wave traveling? in the negative x-direction in the positive x-direction Neither: the wave is a standing wave. (d) Calculate the displacement (in other words, the y-value) of the point at x-1.00 m when t2.00 s Additional Materials eBook

Explanation / Answer

general eave eqwuation

y = Asin(wt+kx)

here

k = 2pi/lambda = 20

wavelength = lambda = 2*3.14/20 = 0.314 m

b) from the relation v = sqrt(T/linear density)

v = w/k = 6/20 = 0.3 m/s

T = 0.3^2*0.04 = 0.0036 N

c) wave travelling along the negative x direction

d)

y = 0.07*sin(6*2+20*1) = 0.0386 m

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