Mechanical advantage
API · /pulley-api
Pulley System API
Pulley and block-and-tackle mechanics as an API, computed locally and deterministically. The advantage endpoint computes the mechanical advantage of a pulley system — the ideal MA equals the number of rope parts supporting the load, which is also the velocity ratio — and returns the effort needed to hold or raise a load, effort = load/(n·efficiency), the length of rope that must be pulled (n times the lift height) and the work in and out. The friction endpoint models a real block and tackle where every sheave loses a little tension: the mechanical advantage becomes MA = e·(1−eⁿ)/(1−e) for a per-sheave efficiency e (≈0.96 for a plain bearing, ≈0.98 for a ball bearing), so it returns the true MA, the overall efficiency and the extra effort friction costs you. The solve endpoint takes any two of the load, the effort and the number of rope parts and returns the third — for example, how many parts you need so a given person can raise a given load, or the heaviest load a winch can lift. Everything is computed locally and deterministically, so it is instant and private. Ideal for rigging, lifting and hoist-design tools, sailing, climbing and theatre-rigging apps, crane and winch sizing, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is pulley and block-and-tackle mechanics; for lever and moment balance use a lever API and for rope-around-a-drum capstan friction use a capstan API.
API health
healthy- Uptime
- 100.00%
- Server probes · 24h
- Avg latency
- 72 ms
- Server probes · 24h
- Subscribers
- 3,648
- active
- Total calls
- 80
- last 7 days
Pricing
Pick a tier — billed monthly, cancel anytime.
Free
Free
- 2,000 calls / month
- 2 requests / second
- Hard cap (429 above quota, no overage)
- Mechanical-advantage endpoint for fixed & movable pulleys
- Up to 2,000 calculations/month
- Deterministic, instant results
- Community support
Starter
€8.00 /month
- 25,000 calls / month
- 5 requests / second
- Hard cap (429 above quota, no overage)
- Full block-and-tackle MA computation
- Effort & load force resolution
- 25,000 calls/month
- Email support
Pro
€22.00 /month
- 150,000 calls / month
- 15 requests / second
- Hard cap (429 above quota, no overage)
- Multi-sheave rigging configurations
- Friction-adjusted efficiency factors
- 150,000 calls/month
- Priority support & SLA
Mega
€69.00 /month
- 750,000 calls / month
- 40 requests / second
- Hard cap (429 above quota, no overage)
- Unlimited rigging system topologies
- Batch advantage computation
- 750,000 calls/month
- Dedicated support & uptime guarantee
Built by
Related APIs
Other APIs with overlapping tags.
Belt Drive API
Belt-drive and pulley maths as an API, computed locally and deterministically. The belt endpoint computes the length of an open V-belt or flat belt from the two pulley diameters and the centre distance with L = 2C + (π/2)(D1+D2) + (D1−D2)²/(4C), and returns the belt length plus the wrap (contact) angle on each pulley; pass a driver rpm and it also gives the belt surface speed. The ratio endpoint computes the speed ratio of a pulley pair (driven ÷ driver diameter, since N1·D1 = N2·D2): give a driver or driven rpm and it returns the other, the torque ratio and the belt speed. The centers endpoint reverses the length equation to find the centre distance for a target belt length, solving the equation numerically. Diameters and distances accept millimetres, centimetres, metres, inches or feet, and lengths are reported in several units. Everything is computed locally and deterministically, so it is instant and private. Ideal for machine and drivetrain design tools, maintenance and MRO apps, maker and CNC projects, and mechanical-engineering calculators. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is belt-and-pulley power transmission; for bicycle gear ratios and development use a bike-gear API and for bolt tightening torque use a torque API.
api.oanor.com/beltdrive-api
Lever & Simple Machine API
Lever, moment-balance and simple-machine mechanical-advantage maths as an API, computed locally and deterministically. The lever endpoint applies the lever law, effort·effort_arm = load·load_arm, and solves for whichever of the effort, the load, the effort arm or the load arm you leave out, returning the mechanical advantage MA = effort_arm/load_arm = load/effort and whether the lever multiplies force or speed. The moment endpoint computes a single moment of force, M = F·d, or balances a seesaw about a pivot: from the force and distance on each side it tells you whether it is balanced, the net moment and which way it rotates, or solves the one value you omit to bring it into equilibrium. The machine endpoint gives the ideal mechanical advantage of a simple machine — an inclined plane (length/height), a screw (2πR/pitch), a wheel and axle (R/r), a wedge (length/thickness) or a pulley system (number of supporting strands) — and, given an efficiency and an effort, the actual mechanical advantage and the output force. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics and engineering-education tools, mechanics and statics apps, and machine-design and DIY calculators. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is levers and simple-machine mechanical advantage; for gear and belt drive ratios use a gear or belt-drive API.
api.oanor.com/lever-api
Slackline Tension API
Tensioned-line point-load statics as an API, computed locally and deterministically — the line-tension and anchor-force numbers a slackliner, highliner or rigger works out before they weight a line. This is the V a loaded line makes under a person, not a self-weight catenary: the tension endpoint takes the span, the sag and the body load and returns the line tension and the horizontal anchor pull, because vertical balance is 2·T·sin(angle) = the body weight — so the flatter the line (the smaller the sag) the more the tension blows up, which is exactly why drum-tightening a line to kill the bounce can load the anchors to many times body weight. The sag endpoint inverts it: from a known line tension it returns the sag a mid-span load settles to (sin angle = weight ÷ twice the tension), and flags when the tension is too low to hold the load at all. The off-centre-load endpoint handles standing away from the middle, where the two halves carry different tensions: the horizontal pull is equal on both sides (H = weight × a × b ÷ (sag × span)) but the shorter, steeper segment runs at the higher tension and fails first — the reason a highliner near an anchor stresses that leash harder than one in the centre. Everything is computed locally and deterministically, so it is instant and private. Ideal for slackline and highline rigging tools, climbing and outdoor-gear apps, and tension-and-anchor calculators. Pure local computation — no key, no third-party service, instant. Geometric statics — combine with the real webbing and anchor ratings. 3 compute endpoints. For a self-weight hanging cable use a catenary API; for working-load-limit and safety factor a rigging API.
api.oanor.com/slackline-api
Winch Drum API
Winch and cable-drum maths as an API, computed locally and deterministically — the rope-capacity, line-pull and rope-out numbers a winch operator, rigger or recovery driver works a drum with. The capacity endpoint gives the rope a drum holds by exact layer geometry: the sum over every full layer of the turns per layer × π × that layer's mean wrap diameter, where turns per layer = drum width ÷ rope diameter and the number of layers = the flange-to-barrel depth ÷ rope diameter — a 10-inch barrel, 20-inch flange, 12-inch-wide drum on half-inch rope holds about 940 ft over 10 layers. The layer-pull endpoint shows why pull falls as the drum fills: the rated pull is for the bare-drum first layer, and as rope piles on, the growing lever arm cuts the line pull and raises the line speed in the same ratio — pull × (first-layer diameter ÷ this layer's diameter) — so the top layer of a deep drum can pull barely half the bottom-layer rating, which is why you spool off to bare drum for a hard pull or add a snatch block. The length-at-layer endpoint gives the rope wound after a number of full layers, for marking the rope or knowing how much line is out. Everything is computed locally and deterministically, so it is instant and private. Ideal for winch- and hoist-sizing tools, recovery and off-road apps, marine and industrial-rigging utilities, and engineering calculators. Pure local computation — no key, no third-party service, instant. Geometric estimate — allow for nesting and freeboard. 3 compute endpoints. For capstan friction use a capstan API; for block-and-tackle a pulley API.
api.oanor.com/winch-api
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Quick answers about pricing, quotas, and integration.
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Code snippets
Sign up to get an API key, then call any path under your slug.
curl https://api.oanor.com/pulley-api/SOME_PATH \
-H "x-oanor-key: oanor_test_..."
const res = await fetch("https://api.oanor.com/pulley-api/SOME_PATH", {
headers: { "x-oanor-key": "oanor_test_..." }
});
const data = await res.json();
$ch = curl_init("https://api.oanor.com/pulley-api/SOME_PATH");
curl_setopt($ch, CURLOPT_RETURNTRANSFER, true);
curl_setopt($ch, CURLOPT_HTTPHEADER, ["x-oanor-key: oanor_test_..."]);
$response = curl_exec($ch);
import requests
r = requests.get(
"https://api.oanor.com/pulley-api/SOME_PATH",
headers={"x-oanor-key": "oanor_test_..."},
)
print(r.json())
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