Screw Auger API

Screw-conveyor and grain-auger maths as an API, computed locally and deterministically — the capacity, speed and throughput numbers a farmer, millwright or material-handling engineer sizes an auger with. The capacity endpoint gives the volumetric throughput from the screw geometry: the annular flight volume per turn ((π/4)(diameter² − shaft²) × pitch) × rpm × 60 × the trough loading, so a 9-inch full-pitch screw on a 2.5-inch shaft at 40 rpm and 45 % loading moves about 330 cubic feet — 265 bushels — an hour. The speed endpoint inverts it, the rpm needed for a target capacity, so you don't overspeed a small auger and grind the grain. The bushels endpoint converts a volumetric rate to bushels and tons per hour (1 bushel = 1.2445 ft³, tons = bushels × test weight ÷ 2000), so 330 ft³/hr of 56-lb corn is 265 bushels or 7.4 tons an hour — the number you match to the dryer or the truck. Everything is computed locally and deterministically, so it is instant and private. Ideal for grain-handling and ag-equipment apps, material-handling and conveyor-design tools, farm-build calculators, and engineering aids. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 compute endpoints. Estimates — incline and material change real throughput. For belt conveyors use a conveyor API.