Neck-Snapping Forces

Part 1: The Devastation of The Hypertube: Hyperjump and Hypercurve

Have you ever went around a curve relatively fast in a car? Well... try that but like 10x worse for this poor player.

The sheer speeds and tight corners in these examples truly will probably break most if not all of your bones.

The Hypertube; a technology unlocked by Tier 4 of upgrades, these tubes will absolutely send you soaring fast speeds for long distances.

Remember that feeling of being pressed on something when being accelerated?

From the video, we know that the radius of the curve is 3 meters, the player is travelling at 17.8m/s, and that they spend 0.6 seconds inside the curve.

Lets do some math!

The force on this player to cause them to curve is called centripetal acceleration, which has the equation of a_c = v²/r, and plugging in the values from above, we get:

a = (17.8m/s)²/3m = 105.61m/s² or about 11Gs of acceleration (earth gravity).

Did you think going around in a circle was bad? Try now adding gravity into the equation!

Adding in gravity added a bit of issues since I couldn't get an exact figure for velocity, but a theoretical estimate would would just fine.

The accumulation of velocity using acceleration is modeled as:

v² = v_0²+ 2*g*Δy, and since Δy = 64 meters and v_0 = 17.8m/s from above, the final velocity at the bottom is v = sqrt(316.84+1483.52) = 42.43m/s.


The acceleration the, during the curved section, would be:

a_c = v²/r = (1800.36m²/s²)/3m = 600.12m/s² or 60Gs of Earth Gravity.


If this was real life, the person participating would most certainly be dead!

Unfortunately, as of the time of writing this, there is no certainty whether or not our "engineer" (player) is human or is an android, but I believe that a machine would very much take these kinds of G forces much better than any human could. Not only is it break-neck speed, it may literally be break-neck everything.