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

Question

Physics

Trystan Fowler

5 February, 20:47

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

+2

Answers (1)

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Clover · Answer 1

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

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 sa. - 0.037 cmb. - 0.037 cmc. 0.370 cmd. 0.370 cm