Question

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

Answer 1

Answer:

Explanation:

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