y(x,t) = (0.800 cm) cos [(0.350 cm^-1)x + (200 s^-1)t] Find the amplitude. Cm fi

Question

y(x,t) = (0.800 cm) cos [(0.350 cm^-1)x + (200 s^-1)t] Find the amplitude. Cm find the period. S Find the frequency. Hz Find the wavelength. Cm Find the speed of propagation. m/s Sketch the shape of the rope at the following values of t: 0, 0.0013 s, and 0.0025s. (De this on paper. Your instructor may ask you to turn in this work.) Is the wave traveling in the +x direction or x-direction? +x direction -x direction The mass per unit length of the rope is 0.500 kg/m. Find the tension. N Find the average power of this wave. W

Explanation / Answer

equation of transverse wave is given by

y(x, t) = amplitude * cos(kx - wt)

so,

amplitude = 0.8 cm

frequency w = 200 Hz

time period = 1 / frequency

time period = 1 / 200

time period = 0.005 sec

wavelength = 2 * pi / k

wavelength = 2 * pi / 0.35

wavelength = 17.951 cm

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