فيزياء الرجل العنكبوت بأجنحته العنكبوتية الجديدة

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نمذجة المسار

GlowScript 2.1 VPython
#this is the area with the wings
A1=0.651

#area without wings
A2=0.513

g=vector(0,-9.8,0)

m=64 #mass of Spider-Man

CL=1.45 #coefficient of lift
CD=0.4 #coefficient of drag
rho=1.2 #density of air

#starting velocity 
#try changning this
v0=8
#starting momentum assuming horizontal - change this
p=vector(v0,0,0)*m
#p2 is just the momentum for the comparison
p2=p

t=0
dt=0.01

#starting height
h=40
#starting position
r=vector(0,h,0)
r2=r

#these are for the graphs
f1=series(color=color.red)
f2=series(color=color.blue)

while r.y>0:
    #calculate the velocity to use in lift-drag
    v=p/m
    v2=p2/m
    
    #calculate the drag force
    Fd=-.5*rho*A1*CD*(mag(v)**2)*norm(v)
    Fd2=-.5*rho*A2*CD*(mag(v2)**2)*norm(v2)
    
    #calculate lift (notice cross product to get direction)
    FL=-.5*rho*A1*CL*(mag(v)**2)*cross(norm(v),vector(0,0,1))
    FL2=-.5*rho*A2*CL*(mag(v2)**2)*cross(norm(v2),vector(0,0,1))
    
    #total force
    F=m*g+Fd+FL
    F2=m*g+Fd2+FL2
    
    #update momentum
    p=p+F*dt
    p2=p2+F2*dt
    
    #update position
    r=r+p*dt/m
    r2=r2+p2*dt/m
    
    #update time
    t=t+dt
    
    #plot stuff
    #change this if it makes you happy
    f1.plot(r.x,r.y)
    f2.plot(r2.x,r2.y)

print("Glide Ratio 1 = ",-p.x/p.y)
print("Glide Ratio 2 = ", -p2.x/p2.y)