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20 May, 00:51

A transverse wave on a string is modeled with the wave function y (x, t) = (0.20 cm) sin (2.00 m^-1 x - 3.00 s^-1 t + pi/16) What is the height of the string with respect to the equilibrium position at a position x = 4.00m and a time t = 10.00 s

a. - 0.037 cm

b. - 0.037 cm

c. 0.370 cm

d. 0.370 cm

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Answers (1)
  1. 20 May, 01:10
    0
    y = (0.2 cm) Sin (2x - 3 t + π/16)

    Put x = 4 m, t = 10 s

    y = (0.2 cm) Sin (2 x 4 - 3 x 10 + π/16)

    y = (0.2 cm) Sin (8 - 30 + π/16)

    y = (0.2 cm) Sin (π/16 - 22)

    y = (0.2 cm) Sin (-21.80375)

    y = (0.2 cm) x ( - 0.1863)

    y = - 0.37 cm
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