Hyperloop Bend Radii
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Note: All calculations are done in the metric systemPlease feel free toBelow iswhatThis isa slightThis istravelingEdit yourown
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Note: All calculations assume the pods bank such that all forces are "down"Leave a comment!Musk proposeschangeto theat 1220Kphscenariohere.
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Note: All USER ENTERED values are shown in RED(right click on a cellin his white paperbendradii tolike inthe
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Note: All CALCULATED values are shown in PURPLEand choose make itmorewhitepaper.
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Note: Additonal scenarios are shown to the right (feel free to edit them) --->"Insert Comment")comfortable
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DescriptionValuesUnitsFormulas
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Enter maximum desired "downward" G force here (in G's, not m/s*s):1.25G's1.50G's1.25G's2.64G's0.10G's
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This is the same as saying a "downward" acceleration in m/s*s of:12.25m/s*sB9*9.814.70m/s*s12.25m/s*s25.87m/s*s0.98m/s*s
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The maximum amount of horizontal acceleration in m/s*s this equates to is:7.35m/s*ssqrt(B10^2-9.8^2)10.96m/s*s7.35m/s*s23.94m/s*s9.75m/s*s
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Or restated in G's this is:0.75G'sB11/9.81.12G's0.75G's2.44G's0.99G's
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Now, on to actual radii...
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Assuming you are not changing elevation at all:
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This is the correlation between velocity and bend radius of the hyperloop
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at the level of G forces you selected above.
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Enter the velocity of the capsule here (in Km/hr):560.00Km/hr480.00Km/hr480.00Km/hr1,220.00Km/hr1,000.00Km/hr
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In meters per second, this is:155.56m/sB21*1000/60/60133.33m/s133.33m/s338.89m/s277.78m/s
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The tightest bend radius of the track to sustain the chosen G's is:3.29Km(B22^2/B11)/10001.62Km2.42Km4.80Km7.91Km
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Assuming you are ONLY changing elevation, but not changing direction:
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This is the correlation between velocity and elevation radius of the hyperloop
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at the level of G forces you selected above.
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Enter the velocity of the capsule here (in Km/hr):560.00Km/hr480.00Km/hr480.00Km/hr1,220.00Km/hr1,200.00Km/hr
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In meter per second, this is:155.56m/sB30*1000/60/60133.33m/s133.33m/s338.89m/s333.33m/s
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The tightest bend radius (in the vertical direction) is:9.88Km(B31^2/(B10-9.8))/10003.63Km7.26Km7.15Km-12.60Km
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Time it takes to travel the bove bend radii:
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Horizontal:21.16sB23/B21*60*6012.17s18.14s14.15s28.49s
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Vertical:63.49sB32/B30*60*6027.21s54.42s21.09s-37.79s
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G Forces due to emergency braking
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Enter the amount of time you have to stop (in seconds):30.00s30.00s30.00s30.00s15.00s
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G Forces due to emergency braking (using first velocity value from B21)0.53G'sB22/B42/9.80.45G's0.45G's1.15G's1.89G's
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