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Don't panic!* Morten Dam Jørgensen - Computerfysik.dk

Don't panic!* Morten Dam Jørgensen - Computerfysik.dk

Don't panic!* Morten Dam Jørgensen - Computerfysik.dk

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• Hvis vi hopper ud fra en Airbus<br />

A380 i 10 kilometers højde, har<br />

har ændringen i atmosfærens<br />

densitet så betydning?<br />

• Let’s find out!<br />

~Fdrag = 1<br />

2 ⇢(y)~v 2 CdA<br />

En adiabatisk atmosfære (don’t ask):<br />

⇢(y) =⇢0<br />

✓<br />

1<br />

1 y<br />

y0<br />

Frit fald<br />

◆ 1/( 1)<br />

rho0 = 1.2; % kg/m^4-1<br />

gamma = 1.4;<br />

y0 = 29400; % m<br />

rho = @(y) rho0 *(1 -<br />

(gamma-1)./gamma* y/y0).^(1/<br />

(gamma-1));<br />

while y > 0 % stop ved y=0<br />

t = t + dt;<br />

y = y + v .* dt;<br />

end<br />

dv_g = g .* dt;<br />

dv_d = dt./m .*<br />

(0.5*rho(y)* v^2*C_d*A);<br />

v = v + dv_g + dv_d<br />

plot(t,y,'b+')

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