Question

(a) Write the expression for y as a function of x and t in SI units for a sinusoidal wave traveling along a rope in the negative x direction with the following characteristics: A = 5.00 cm, λ = 75.0 cm, f = 5.00 Hz, and y(0, t) = 0 at t = 0. (Use the following as necessary: x and t.)

Answer 1

A =0.0500 m
L = 0.750 m

T = 1/5 = 0.2
goes .75 m in .2 s
so v=.75/2 = .375m/s
for constant phase
(x+vt) the+vt makes it left
to make it go 2pi for every wavelength l or time T
sin [2 pi (x+vt)/L]
now the size
.05 sin[(2pi/L)(x+vt)]
more numbers in
.05 sin[(2pi/.75)(x+.375t)]