Question

Photo of question uploaded- Wave Equation:
y(x,t)=Acos[(2π/l)(x-vt)]

Answer 1

The equation in 15.12 is
\[y(x,t)=Acos[\frac{ 2\pi }{ \lambda }(x-vt)]\]

Answer 2

I got part (a) correct, but when I do part (b) t=0.400s I'm not getting the correct solutions for y to graph it. From what I gather from part (b) I just plugged in 0.400s into y(x,t), but the solution for y is just dead wrong. :( Any idea?

Answer 3

Maybe you have forgotten to convert velocity to m/s instead of cm/s.

Remember all units have to be coherent in x, lambda, and vt.

Answer 4

I thought so, but it works out for part A, I’ll check though

Answer 5

y(x,t)=Acos[2π/λ(x−vt)]
λ=12.0cm
A=0.300cm
v=6.00cm/s
x is interval of 1.5, so
x|0,1.5,3.0,4.5,6,7.5,9,10.5,12
for part A of the question t=0
part B of the question t=0.400s, then t=.800

Answer 6

I converted everything to m, and I still get 0.000927
\[0.003\cos[\frac{ 2π }{ 0.12 }(x-0.06(.400))]\]

Answer 7

when x=0, but it should be −0.221 when x=0