Buoyancy & flotation
API · /hydrostatic-api
Hydrostatic Pressure API
Fluid-statics maths as an API, computed locally and deterministically. The pressure endpoint computes the pressure at a depth in a fluid — the gauge pressure ρ·g·h and the absolute pressure (gauge plus atmospheric) — in pascals, kilopascals, bar, psi and atmospheres, for water, seawater, oil, mercury and more, or a custom density; depths accept metres, feet or centimetres, which makes it handy for diving (about 10 m of seawater adds one atmosphere). The force endpoint computes the resultant hydrostatic force on a submerged vertical rectangular surface — an aquarium wall, a tank side, a dam face or a flood gate — as F = ρ·g·h_c·A from its width and the top and bottom depths, and gives the depth of the centre of pressure, which sits below the centroid. The buoyancy endpoint applies Archimedes' principle, F_b = ρ_fluid·g·V, to give the buoyant force and the displaced mass, and — if you supply the object's density or mass — tells you whether it floats or sinks and what fraction sits below the waterline. Everything is computed locally and deterministically, so it is instant and private. Ideal for civil and marine engineering tools, diving and aquarium apps, tank and dam design, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is fluid statics; for pump power and head use a pump API and for pipe flow rate use a pipe-flow API.
API health
healthy- Uptime
- 100.00%
- Server probes · 24h
- Avg latency
- 92 ms
- Server probes · 24h
- Subscribers
- 3,892
- active
- Total calls
- 40
- last 7 days
Pricing
Pick a tier — billed monthly, cancel anytime.
Free
Free
- 3,000 calls / month
- 2 requests / second
- Hard cap (429 above quota, no overage)
- Gauge pressure ρ·g·h at depth
- SI units (Pa, m, kg/m³)
- JSON responses, no key rotation
Starter
€9.00 /month
- 40,000 calls / month
- 6 requests / second
- Hard cap (429 above quota, no overage)
- Buoyancy & submerged-force endpoints
- Custom fluid density presets
- Atmospheric + gauge → absolute pressure
- Email support
Pro
€24.00 /month
- 300,000 calls / month
- 20 requests / second
- Hard cap (429 above quota, no overage)
- Multi-layer fluid column stacks
- Imperial + SI unit auto-conversion
- Tank/column wall-load integration
- Batch depth-profile requests
Mega
€75.00 /month
- 2,500,000 calls / month
- 60 requests / second
- Hard cap (429 above quota, no overage)
- High-throughput CAD/simulation pipelines
- Priority compute lane
- 99.9% uptime SLA
- Dedicated engineering support
Built by
Related APIs
Other APIs with overlapping tags.
Buoyancy & Flotation API
Archimedes buoyancy and flotation maths as an API, computed locally and deterministically. The buoyancy endpoint computes the buoyant force on a submerged or floating body, Fb = ρ_fluid·g·V_displaced — the upthrust equals the weight of the displaced fluid — from a displaced volume and a fluid (water, seawater, oil, mercury and more, or a custom density), and also gives the mass of displaced fluid; it solves the volume from a known force too. The float endpoint decides whether an object floats, sinks or is neutrally buoyant by comparing its density (given directly, from a built-in material, or as mass divided by volume) with the fluid density, and for a floating object returns the fraction submerged f = ρ_object/ρ_fluid (so 90 % of an iceberg sits below the waterline), or for a sinking object its apparent (underwater) weight. The payload endpoint sizes flotation: the displaced volume needed to float a given load, V = W/(ρ_fluid·g), or the maximum extra payload a floating body of a given volume and density can carry before it submerges, Wmax = (ρ_fluid − ρ_body)·V·g. Everything is computed locally and deterministically, so it is instant and private. Ideal for naval-architecture and marine tools, diving, ROV and ballast apps, raft and pontoon design, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is buoyancy and flotation; for pressure at depth and hydrostatic force on a wall use a hydrostatics API.
api.oanor.com/buoyancy-api
Moment of Inertia API
Rigid-body rotational-inertia mechanics as an API, computed locally and deterministically. The shape endpoint returns the mass moment of inertia and the radius of gyration k = √(I/m) for a named standard body about its characteristic axis — a solid sphere (I = 2/5·m·r²), thin spherical shell (2/3·m·r²), solid cylinder or disk (1/2·m·r²), annular/hollow cylinder (1/2·m·(r1²+r2²)), thin ring (m·r²), thin rod about its centre (1/12·m·l²) or about one end (1/3·m·l²), rectangular plate or cuboid (1/12·m·(a²+b²)), solid cone (3/10·m·r²) and point mass (m·r²) — so a 2 kg solid sphere of radius 0.5 m has I = 0.2 kg·m². The parallel-axis endpoint applies the Steiner theorem I = I_cm + m·d² to shift a moment of inertia from the centre-of-mass axis to any parallel axis a distance d away. The shapes endpoint lists the whole catalog with its formulas. All quantities are SI (kg, m → kg·m²). Everything is computed locally and deterministically, so it is instant and private. Ideal for mechanical-engineering, robotics, CAD/CAE, rotating-machinery, structural-dynamics and physics-education app developers, flywheel-and-shaft design tools, and simulation software. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is rotational inertia; for stored rotational energy and flywheel sizing use a flywheel API and for torque and angular acceleration a torque API.
api.oanor.com/momentofinertia-api
Taper Calculator API
Taper and cone geometry as an API, computed locally and deterministically. The taper endpoint relates the large and small diameters, the length and the taper of a conical part: give the two diameters and the length and it returns the taper ratio, the taper per foot and per inch (for inch parts), the included angle 2·atan((D−d)/(2L)) and the half (taper) angle from the axis — or leave one of the diameters or the length out and provide the taper per foot, and it solves for the missing dimension. The diameter-at endpoint gives the diameter (and radius) at any distance along the taper, measured from either the large or the small end, by linear interpolation d(x) = D − (D−d)·x/L. The morse endpoint is a reference of the standard Morse taper series MT0 to MT7, with each taper's taper per foot, gauge-line large and small diameter, length and included angle. Lengths and diameters use consistent units (inches by default, or millimetres for the angle and ratio outputs). Everything is computed locally and deterministically, so it is instant and private. Ideal for machining and lathe tools, CAD and toolmaking apps, maker and metalworking projects, and mechanical-engineering calculators. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is taper geometry; for screw-thread pitch and tap drill use a thread API and for spur-gear geometry use a gear API.
api.oanor.com/taper-api
Thermal Expansion API
Thermal-expansion maths as an API, computed locally and deterministically. The linear endpoint computes how much a solid grows or shrinks when its temperature changes, ΔL = α·L0·ΔT, returning the change in length and the new length from an original length, a temperature change (given directly or as an initial and final temperature) and the linear expansion coefficient α — taken from a built-in material table (steel, aluminium, copper, concrete, glass, invar and more) or supplied directly; lengths accept metres, centimetres, millimetres, feet or inches. The volume endpoint computes volumetric expansion, ΔV = β·V0·ΔT, where for a solid the volumetric coefficient is β ≈ 3α and for a liquid (water, ethanol, mercury, petrol and others) β is taken directly; volumes accept cubic metres, litres, millilitres or cubic feet. The materials endpoint lists the coefficients. A negative temperature change gives contraction. Everything is computed locally and deterministically, so it is instant and private. Ideal for civil and mechanical engineering tools, rail, pipe and bridge expansion-gap design, manufacturing-tolerance and HVAC apps, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is thermal expansion; for heat energy and temperature change use a specific-heat API.
api.oanor.com/thermalexpansion-api
Frequently asked questions
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/hydrostatic-api/SOME_PATH \
-H "x-oanor-key: oanor_test_..."
const res = await fetch("https://api.oanor.com/hydrostatic-api/SOME_PATH", {
headers: { "x-oanor-key": "oanor_test_..." }
});
const data = await res.json();
$ch = curl_init("https://api.oanor.com/hydrostatic-api/SOME_PATH");
curl_setopt($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/hydrostatic-api/SOME_PATH",
headers={"x-oanor-key": "oanor_test_..."},
)
print(r.json())
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