s(t)/m

s(x)/m

t/s

x/m

mx

mt

Lösung:

A =

λ =

T =

Aufgabe

Rechnerisch

t-s- und x-s-Diagramme von Wellen

Version Stand
29.11.2020
Andreas Jäger

Stand

x-s-Diagramm

t-s-Diagramm

t = 0 (slider from 0 to 12, step 0.01)
L = 5.6946 (slider from 1.0001 to 15, step 1.0E-4)
T = 6.2843 (slider from 1 to 15, step 1.0E-4)
s0 = 1.5 (slider from 0 to 2, step 0.01)
y0: 3
t0: 0
t1: 30
tAchse = Vector((t0 - 1, y0), (t1 + 1, y0))
xAchse_1 = Vector((t0 - 1, (-y0)), (t1 + 1, (-y0)))
stAchse = Vector((0, y0 - 2.2), (0, y0 + 2.2))
sxAchse = Vector((0, (-y0) - 2.2), (0, (-y0) + 2.2))
tP = 0 (slider from 0 to 30, step 0.001)
xP = 0 (slider from 0 to 30, step 0.01)
st(x) = If[t0 ≤ x ≤ t1, (s0 * sin(((2 * π) * (tP / T - x / L)))) + y0]
sx(x) = If[t0 ≤ x ≤ t1, (s0 * sin(((2 * π) * (x / T - xP / L)))) - y0]
A: (tP, -3)
XP: (xP, 3)
mx: 0
mt: 0
Text5: "c = {λ\over T} = {" + (LaTeX[L]) + "\ m \over " + (LaTeX[T]) + "\ s}=" + (LaTeX[L / T]) + "\ {m\over s }"
Text7: "\Delta t = " + (LaTeX[tP]) + "\ s"
c: L / T
xxx: (c * tP)
Text8: "\Delta x = " + (LaTeX[xxx]) + " \ m = " + (LaTeX[xxx / L]) + "\ \lambda"
PPP: (xxx, 3)
PPPP: (0, st(0))
Text6: "c = {\Delta x\over \Delta t} = { " + (LaTeX[xxx]) + "\over " + (LaTeX[tP]) + " } {m\over s} = " + (LaTeX[xxx / tP]) + "\ {m\over s}"
Eingabefeld1 = Textfield(mx)
Eingabefeld2 = Textfield(mt)
Text9: "c = {\Delta x\over \Delta t} = {\ \ \ \ \ \ \ \ \ \   \over   } {m\over s} = " + (LaTeX[mx / mt]) + "\ {m\over s}"
a: false
Eingabefeld3 = Textfield(s0)
Eingabefeld4 = Textfield(L)
Eingabefeld5 = Textfield(T)
b = false
d = true
e = false
PA10 = NaN
PA1: (0, s0 + 3)
PT: (T, -3)
PL: (L, 3)