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The equation of a transverse wave traveling along a very long string is given by y...

The equation of a transverse wave traveling along a very long string is given by y = 6.1 sin(0.018πx + 3.1πt), where x and y are expressed in centimeters and t is in seconds. Determine the following values.

(a) the amplitude
cm

(b) the wavelength
cm

(c) the frequency
Hz

(d) the speed
cm/s

(e) the direction of propagation of the wave

+xx    +yy


(f) the maximum transverse speed of a particle in the string
cm/s

(g) the transverse displacement at x = 3.5 cm when t = 0.26 s
cm

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Answer #1

a)The amplitude is, A = 6.1cm b)The wavelength is, 21 2= k 21 0.0187 = 111cm c)The frequency is, 21 3.17 21 = 1.55Hz d)The sp

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