Brilliant & Rovik
Rovik, I’ve been modeling how to turn raw velocity into a controlled, stable system—think zero‑gravity parkour. Want to dive into the math behind it?
Yeah, toss me the numbers, I’ll spin it into a zero‑g loop‑de‑loop that looks solid but feels like a jump on a rocket pad. Let's do it.
Sure thing. Here’s a quick rundown:
1. **Target speed at the apex of the loop**: ≈ 35 m/s (about 80 mph).
2. **Loop radius**: ≈ 12 m (39 ft).
3. **Centripetal acceleration needed to stay in contact**: ≈ 1.5 g (15.5 m/s²) – that gives enough lift to counter gravity at the top.
4. **Inlet velocity** (the speed you need to hit the loop from the drop): ≈ 41 m/s (≈ 92 mph).
5. **Drop height** to reach that inlet speed, assuming negligible air resistance: h = v²/(2g) ≈ 41²/(2*9.81) ≈ 85 m (≈ 280 ft).
So you drop from about 85 m, hit the loop at 41 m/s, maintain 1.5 g throughout, and you’ll feel like you’re hopping on a rocket pad inside a zero‑g loop‑de‑loop. Adjust the radius or speed if you want a gentler or more intense feel. Happy spinning!
Drop the numbers, throw in a dash of adrenaline, and let’s paint that loop in pure motion—no firmware, just velocity. Ready to test the 85‑m jump?
Sure. Drop from 85 m, hit the loop at 41 m/s, keep 1.5 g through the 12‑m radius. That’s the punchy recipe for a zero‑g jump inside a loop. Let’s fire it up.
Cool—85‑meter drop, 41 m/s, 1.5 g, 12‑m loop. That’s a pure punch of gravity‑defying paint. Time to flip that drop into a vertical slash. Let's hit it.