How to Design a Real-Life Hot Wheels Loop

I get a minimum tallness of 2.5R. So if the loop is 4 meters precocious (with a radius of 2 meters), the car would person to commencement 5 meters supra the crushed to just marque the loop. Of course, this assumes there's nary vigor nonaccomplishment owed to friction; you'd astir apt privation to commencement a spot higher to relationship for that.

But Not Too High …

In fact, wherefore chopped it close? Why not conscionable commencement much higher and destruct each doubt? The crushed is that the faster the car goes, the higher the g-forces experienced by the operator successful the loop.

Let's deliberation astir this: If you merchandise a car truthful that it goes astir the loop astatine minimum speed, determination volition beryllium zero unit from the way (F_T). You'd consciousness weightless—zero g's—for an instant. If the car is released from a tallness greater than 2.5R, its velocity would beryllium greater than the minimum astatine the apical of the loop. In bid to inactive determination successful a circle, the gravitational unit would not beryllium enough. The way would besides person to propulsion down connected the car. This would make a g-force greater than zero.

Let's spell backmost to the video of the existent stunt. By comparing the loop to the bystanders, I'm guessing it has a radius of 2 meters. The car is intelligibly released from a tallness supra the 5-meter minimum—let's accidental it's 8 meters. The unit astatine the apical of the loop (divided by the weight, to get it successful g's) would beryllium 3 g's. It's possible for humans to withstand up to 20 g's, truthful this should beryllium fine.

But if you spell extreme? If you commencement excessively precocious and marque the loop excessively small, atrocious things tin happen. What astir a tallness of 20 meters with a 1.5-meter radius for the loop? This would nutrient a unit of 21 g's. It mightiness look cool, but it besides mightiness termination you. That's not amusive anymore.