Safe speeds on a banked curve

Code-Snippets

curl "https://api.oanor.com/bankedcurve-api/v1/speed" \
  -H "x-oanor-key: oanor_test_..."

await fetch("https://api.oanor.com/bankedcurve-api/v1/speed", {
  headers: { "x-oanor-key": "oanor_test_..." }
});

$ch = curl_init("https://api.oanor.com/bankedcurve-api/v1/speed");
curl_setopt($ch, CURLOPT_HTTPHEADER, ["x-oanor-key: oanor_test_..."]);
curl_setopt($ch, CURLOPT_RETURNTRANSFER, true);
$out = curl_exec($ch);

import requests
requests.get(
    "https://api.oanor.com/bankedcurve-api/v1/speed",
    headers={"x-oanor-key": "oanor_test_..."}
)

Beispiel-Response

Echte Antwort dieses Endpoints, erfasst beim letzten Health-Check.

{
    "data": {
        "ideal": {
            "note": "Frictionless design speed: the banking alone supplies the centripetal force.",
            "speed_ms": 18.892667,
            "speed_kmh": 68.013602,
            "speed_mph": 42.261693,
            "speed_knots": 36.724407,
            "centripetal_acceleration_ms2": 3.569329
        },
        "formula": "v_ideal = √(r·g·tanθ); with friction μ: v_max = √(r·g·(tanθ+μ)/(1−μ·tanθ)).",
        "radius_m": 100,
        "max_speed": {
            "note": "Above this the vehicle slides outward (up the bank).",
            "speed_ms": 27.035995,
            "speed_kmh": 97.329583,
            "speed_mph": 60.477799,
            "speed_knots": 52.553771
        },
        "min_speed": {
            "note": "Below this the vehicle slides inward (down the bank).",
            "speed_ms": 7.52049,
            "speed_kmh": 27.073763,
            "speed_mph": 16.822857,
            "speed_knots": 14.618663
        },
        "gravity_ms2": 9.80665,
        "bank_angle_deg": 20,
        "friction_coefficient": 0.3
    },
    "meta": {
        "timestamp": "2026-06-04T10:18:54.838Z",
        "request_id": "3a913ba2-0589-4f10-a923-7d35fc3949e4"
    },
    "status": "ok",
    "message": "Safe speeds on a banked curve",
    "success": true
}