84 lines
1.9 KiB
Python
84 lines
1.9 KiB
Python
# %%
|
|
from numpy import pi, sin
|
|
import matplotlib.pyplot as plt
|
|
from IPython import get_ipython
|
|
|
|
def draw3D(x, y, z, title, xlabel, ylabel, zlabel):
|
|
fig = plt.figure()
|
|
|
|
surface = fig.add_subplot(projection="3d")
|
|
plot = surface.plot_surface(x, y, z, cmap="rainbow")
|
|
fig.colorbar(plot, shrink=0.5, aspect=5)
|
|
|
|
fig = plt.figure()
|
|
wireframe = fig.add_subplot(projection="3d")
|
|
wireframe.plot_wireframe(x, y, z)
|
|
|
|
for axes in [surface, wireframe]:
|
|
axes.set_title(title)
|
|
axes.set_xlabel(xlabel)
|
|
axes.set_ylabel(ylabel)
|
|
axes.set_zlabel(zlabel)
|
|
|
|
plt.show()
|
|
|
|
def drawContour(x, y, z, title, xlabel, ylabel):
|
|
fig = plt.figure()
|
|
axes = fig.add_subplot()
|
|
plot = axes.contour(x, y, z, cmap="rainbow")
|
|
fig.colorbar(plot, shrink=0.5, aspect=5)
|
|
axes.set_title(title)
|
|
axes.set_xlabel(xlabel)
|
|
axes.set_ylabel(ylabel)
|
|
plt.show()
|
|
|
|
def drawPlots(x, y, z, title, xlabel, ylabel, zlabel):
|
|
draw3D(x, y, z, title, xlabel, ylabel, zlabel)
|
|
drawContour(x, y, z, title, xlabel, ylabel)
|
|
|
|
# %%
|
|
g = 9.81
|
|
|
|
def W(v, a):
|
|
return ((v ** 2) * sin(a * 2)) / g
|
|
|
|
import numpy as np
|
|
|
|
[v, a] = np.meshgrid(np.linspace(0, 100), np.linspace(0, pi / 2))
|
|
z = W(v, a)
|
|
|
|
get_ipython().run_cell("%matplotlib widget")
|
|
drawPlots(v, a, z, "Wurfdistanz", "v_0", "alpha", "W")
|
|
# %%
|
|
|
|
R = 3.81
|
|
|
|
def calcP(V, T):
|
|
return (R * T) / V
|
|
|
|
def calcV(p, T):
|
|
return (R * T) / p
|
|
|
|
def calcT(p, V):
|
|
return (p * V) / R
|
|
|
|
# %%
|
|
|
|
[V, T] = np.meshgrid(np.linspace(0, 0.2), np.linspace(0, 10 ** 4))
|
|
p = calcP(V, T)
|
|
|
|
drawPlots(V, T, p, "Druck", "V", "T", "p")
|
|
|
|
# %%
|
|
|
|
[p, T] = np.meshgrid(np.linspace(10 ** 4, 10 ** 5), np.linspace(0, 10 ** 4))
|
|
V = calcV(p, T)
|
|
drawPlots(p, T, V, "Volumen", "p", "T", "V")
|
|
|
|
# %%
|
|
|
|
[p, V] = np.meshgrid(np.linspace(10 ** 4, 10 ** 6), np.linspace(0, 10))
|
|
T = calcT(p, V)
|
|
drawPlots(p, V, T, "Temperatur in K°", "p", "V", "T")
|
|
|
|
# %%
|