Buoyancy & flotation
API · /hydrostatic-api
Hydrostatic Pressure API
healthy
3,892 Subscribers
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.oanor.com/hydrostatic-api
API health
healthy- Uptime
- 100.00%
- Server probes · 24h
- Avg latency
- 76 ms
- Server probes · 24h
- Subscribers
- 3,892
- active
- Total calls
- 76
- 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
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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
Vacuum Technology API
Vacuum-technology maths as an API, computed locally and deterministically — the pump-down, boiling and pressure numbers a lab tech, process engineer or vacuum hobbyist works to. The pumpdown endpoint gives the ideal time to evacuate a chamber, t = (volume ÷ pump speed) × ln(start ÷ target pressure) — a 10-litre chamber on a 5 L/s pump drops from 1000 to 1 mbar in about 14 seconds in theory, though outgassing and falling pump speed stretch the real low-pressure stage. The boiling-point endpoint gives the temperature water boils at under reduced pressure from the Antoine equation: about 100 °C at sea level, but only ~52 °C at 100 mbar and ~46 °C at 100 mbar — the physics behind vacuum degassing, freeze-drying and high-altitude cooking. The level endpoint converts a pressure across the common vacuum units (mbar, Torr/mmHg, Pa, kPa, inHg, atm, psi), reports the percent vacuum relative to atmosphere, and names the regime — rough, medium, high or ultra-high vacuum — so you know which pump and gauge the job needs. Everything is computed locally and deterministically, so it is instant and private. Ideal for vacuum-lab and process apps, pump-sizing and degassing tools, semiconductor and coating calculators, and physics teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 compute endpoints. Ideal estimates — real systems are slowed by outgassing and leaks.
api.oanor.com/vacuum-api
Hot Air Balloon Lift API
Hot-air-balloon lift maths as an API, computed locally and deterministically — the thermal-lift, envelope-temperature and air-density numbers a balloon pilot, designer or physics teacher works a flight out with. The lift endpoint gives the buoyant lift from heating the air: gross lift = envelope volume × (outside air density − inside air density), the densities from the ideal-gas law — a 2,500 m³ envelope at 100 °C on a 15 °C day lifts about 698 kg gross, from which you subtract the envelope, basket, burner and fuel for the payload, and the hotter the air and colder the day the more it lifts. The required-temp endpoint inverts it: to carry a target lift the inside air must reach a particular density and so a particular temperature, with a check that it stays under the ~120 °C that nylon envelopes can take — the everyday pre-flight question of whether the balloon can lift today's crew and fuel. The air-density endpoint gives the moist-air density ρ = (P − 0.378·Pv) ÷ (R·T), and explains the counter-intuitive fact that humid air is LESS dense than dry air, slightly cutting the lift. Everything is computed locally and deterministically, so it is instant and private. Ideal for ballooning and aviation tools, STEM and physics-education apps, and buoyancy calculators. Pure local computation — no key, no third-party service, instant. Idealised dry-lift model. 3 compute endpoints. For Archimedes flotation in water use a buoyancy API; for party-balloon helium lift a balloon API.
api.oanor.com/hotairballoon-api
Railway Tractive Effort API
Railway train-performance maths as an API, computed locally and deterministically — the tractive-effort, resistance and adhesion numbers a railway engineer, train planner or rail-sim developer rates motive power with. The tractive-effort endpoint gives the pulling force a locomotive develops = 375 × horsepower × efficiency ÷ speed (mph), the classic hyperbolic curve where a constant-power loco pulls hardest at low speed and tapers as it accelerates — 4,000 hp at 25 mph and 82 % efficiency is about 49,200 lbf at the rail. The resistance endpoint gives the forces a train fights: grade resistance ≈ 20 lb per ton per 1 % of grade (the weight component along the slope, the dominant force on a hill — a 5,000-ton train on a 1 % grade fights 100,000 lbf) plus curve resistance ≈ 0.8 lb per ton per degree of curve from flange friction. The adhesion endpoint gives the hard ceiling: however much power a loco has, it can only pull as hard as the wheels grip — maximum starting tractive effort = the adhesion coefficient (≈ 0.25 dry, more with sand) × the weight on the driving wheels, so 200 tons on the drivers is about 100,000 lbf before slip. Everything is computed locally and deterministically, so it is instant and private. Ideal for rail-operations and motive-power planning tools, train-simulator and railfan apps, and transport-engineering utilities. Pure local computation — no key, no third-party service, instant. Excludes the speed-dependent Davis rolling/air resistance. 3 compute endpoints. For highway curve geometry use a horizontal-curve API.
api.oanor.com/railway-api
Frequently asked questions
Quick answers about pricing, quotas, and integration.
How do I get an API key for Hydrostatic Pressure API?
Sign up for free at oanor.com, generate an API key from the developer dashboard, and call Hydrostatic Pressure API with the x-oanor-key header. No credit card needed for the free tier.
What's the rate limit for Hydrostatic Pressure API?
Free tier allows 1 request per second. Paid plans scale up to 50 requests per second on the Mega tier. Hard limits return HTTP 429 above the quota — no surprise overage charges.
How much does Hydrostatic Pressure API cost?
Hydrostatic Pressure API has a free tier with 100 calls / month. Paid plans start at €9.00 / month with higher quotas and faster rate limits.
Can I cancel my subscription anytime?
Yes. Plans are billed monthly and you can cancel anytime from your billing dashboard. No long-term contracts and no cancellation fee.
Is Hydrostatic Pressure API GDPR-compliant?
All requests to Hydrostatic Pressure API go through our EU-based gateway. Your upstream API key never leaves our server and no personal data is shared with the upstream provider beyond the request you send.
Pick an endpoint from the list on the left to see its details and try it.
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())Ratings
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