AngryRabbit & OneByOne
AngryRabbit AngryRabbit
Hey, I was thinking about building a roller coaster that can blast people to the moon in a single loop—no, seriously, imagine the rush! I want it super fast, adrenaline‑pumping, and I’m already buzzing with ideas. But I know you’re all about the nitty‑gritty, making sure every curve is calculated and every bolt is tight. How about we mash up our styles: I’ll bring the wild spirit and you’ll bring the math—let's see if we can create the most intense yet safe ride ever.
OneByOne OneByOne
Sure thing, but let’s get our math hats on first. First we need a clear goal: launch mass to the Moon, so we’re talking orbital velocity—about 11.2 km/s. That’s not a roller‑coaster speed; it’s rocket‑grade. We’ll break it into steps: 1. Energy calculation * Determine the kinetic energy per passenger: \(½mv^2\). * Convert that into a total energy budget for the coaster’s loop‑track segment. 2. Track design * Compute the radius needed for a safe centripetal force. * Use \(a_c = v^2 / r\) and keep \(a_c\) below roughly 4‑5 g for rider comfort. 3. Launch mechanism * Traditional coasters use compressed air or linear induction. * To reach 11 km/s you’d need a multi‑stage booster—essentially a small rocket, not a coaster. 4. Structural integrity * Material selection (high‑strength aluminum alloy or carbon‑fiber composite). * Fatigue analysis for the repetitive loading. 5. Safety systems * Redundant brakes, emergency parachutes, evacuation routes. * Fail‑safe telemetry to monitor velocity and acceleration in real time. 6. Regulatory checks * FAA/ESA launch licensing, environmental impact, public safety. So the “wild spirit” part can live in the visual design and theming—perhaps a moon‑crater look, a high‑speed drop—while the math keeps the ride grounded. If you really want lunar‑speed, we’re looking at a hybrid of coaster and launch vehicle, which turns the project into a space‑flight program. If that’s too much, let’s stick to the highest safe coaster speed on Earth—about 60–70 mph—and keep the moon dream for the imagination section.