Also, Musk explicitly said it's not that ("But Elon has said there’s no vaccuum tubes involved").
Also, Musk explicitly said it's not that ("But Elon has said there’s no vaccuum tubes involved").
The bad effects of air-friction would seem to still be present, and maybe much greater, because you'd have to move a huge mass of air and the friction would be over a much greater surface area (isolating the moving air to within a small portion of the tube does not look simple to me).
f=0.006; %wall friction factor inside tube, also skin friction outside a train rho=1.2; %air density [kg/m^3] R=1.5; %tube radius [m] Vg=0:200; %velocity of tube gas [m/s] Vt=250; %velocity of train [m/s] L=500e3; %length of tube [m] Cd=0.8; %drag coefficient, form drag trainfill=0.1; %percent of tube filled by train airfill=1-trainfill; %percent of tube filled by air ncars=1000; %number of cars in tube Pg=pi/4fVg.^3LairfillR; %power required to move gas through tube Pt_fm=ncars0.5rhopiR^2Cd(Vt-Vg).^3; %power required to overcome form drag on each car Pt_sk=pi/4f(Vt-Vg).^3LtrainfillR; %power required to overcome skin friction drag Pg_annulus=0; %since the mass of air is so small between the train and tube wall, assume 0. Pt=Pg+Pt_fm+Pt_sk; %total power requirements