For a particle traveling at V km/s, how thick should the shielding be to prevent the meteoroid from penetrating? Assume the meteoroid, having a density of 3.5 g/cm3 and mass of 1e-3 g, impacting into aluminum. The material constant for aluminum is 0.351.
clc;clear all; Vm = 17:2:71; %Particle speed range [km/s] ro = 3.5; %Particle density [g/cm^3] m = 1e-3; %Particle mass [g] C = 0.351; %Material constant for aluminum
ts = C*ro^(1/6)*m^0.352*Vm.^0.857; %Shielding thickness[cm]
plot(Vm,ts); hold on;grid on; plot(Vm,ts,'*'); xlabel('Particle speed [km/s]'); ylabel('Shielding thickness [cm]'); title('Shielding thickness vs particle(mass 1^-^3g) speed');