{"success":true,"version":"v1","request":{"tool":"get_calculator_schema","calculator_id":"pressure-force-area"},"result":{"entity_type":"calculator","id":"pressure-force-area","calculator_id":"pressure-force-area","canonical_url":"https://tttkmbb.com/physics/pressure-force-area","name":"Pressure Calculator","title":"Pressure Calculator – P = F / A in Pa, kPa, bar, psi and atm","category":"physics","category_name":"Physics","tool_name":"calculate_pressure","featured_mcp_tool":false,"description":"Computes pressure as force divided by the area it acts on, and reports it in pascals, kilopascals, bar, pounds per square inch and standard atmospheres.","use_when":"You know a force (or a weight in newtons) and the contact area and need the pressure: a load on a footing, a hydraulic piston, a heel on a floor.","do_not_use_when":"You need fluid pressure at depth (P = ρ·g·h is not implemented), gas pressure from temperature and amount (use ideal-gas-law), or the force from a mass first (use force).","inputs":[{"name":"force_n","label":"Force","type":"number","unit":"N","required":true,"min":0,"description":"Force acting perpendicular to the surface, in newtons (weight = mass × 9.80665).","example":500},{"name":"area_m2","label":"Area","type":"number","unit":"m²","required":true,"exclusive_min":0,"description":"Contact area in square metres (1 cm² = 0.0001 m²).","example":0.02}],"outputs":[{"name":"pressure_pa","label":"Pressure","type":"number","unit":"Pa","decimals":4,"description":"P = F / A in pascals (N/m²)."},{"name":"pressure_kpa","label":"Pressure","type":"number","unit":"kPa","decimals":6,"description":"Pressure in kilopascals."},{"name":"pressure_bar","label":"Pressure","type":"number","unit":"bar","decimals":6,"description":"Pressure in bar (1 bar = 100,000 Pa)."},{"name":"pressure_psi","label":"Pressure","type":"number","unit":"psi","decimals":6,"description":"Pressure in pounds-force per square inch (1 psi = 6894.757 Pa)."},{"name":"pressure_atm","label":"Pressure","type":"number","unit":"atm","decimals":6,"description":"Pressure in standard atmospheres (1 atm = 101,325 Pa)."}],"input_schema":{"type":"object","properties":{"force_n":{"description":"Force acting perpendicular to the surface, in newtons (weight = mass × 9.80665). Unit: N.","type":"number","minimum":0,"examples":[500],"x-unit":"N"},"area_m2":{"description":"Contact area in square metres (1 cm² = 0.0001 m²). Unit: m².","type":"number","exclusiveMinimum":0,"examples":[0.02],"x-unit":"m²"}},"additionalProperties":false,"required":["force_n","area_m2"]},"output_schema":{"type":"object","properties":{"pressure_pa":{"description":"P = F / A in pascals (N/m²). Unit: Pa.","type":"number","x-unit":"Pa"},"pressure_kpa":{"description":"Pressure in kilopascals. Unit: kPa.","type":"number","x-unit":"kPa"},"pressure_bar":{"description":"Pressure in bar (1 bar = 100,000 Pa). Unit: bar.","type":"number","x-unit":"bar"},"pressure_psi":{"description":"Pressure in pounds-force per square inch (1 psi = 6894.757 Pa). Unit: psi.","type":"number","x-unit":"psi"},"pressure_atm":{"description":"Pressure in standard atmospheres (1 atm = 101,325 Pa). Unit: atm.","type":"number","x-unit":"atm"}}},"formula":"pressure_pa = force_n / area_m2; kPa = Pa / 1000; bar = Pa / 100000; psi = Pa / 6894.757293; atm = Pa / 101325","sources":[{"name":"HyperPhysics – Pressure","url":"http://hyperphysics.phy-astr.gsu.edu/hbase/pres.html","type":"reference","retrieved_at":"2026-09-23"},{"name":"NIST Special Publication 811 – Guide for the Use of the SI, Appendix B (conversion factors)","url":"https://www.nist.gov/pml/special-publication-811","type":"standard","retrieved_at":"2026-09-23"}],"freshness":{"type":"static","max_age_seconds":null,"note":"Deterministic formula with fixed constants; results never go stale. Inputs supplied by the caller determine the output."},"examples":[{"name":"500 N on 0.02 m²","inputs":{"force_n":500,"area_m2":0.02},"expected":{"pressure_pa":25000,"pressure_kpa":25,"pressure_bar":0.25,"pressure_psi":3.6259,"pressure_atm":0.2467},"url":"https://tttkmbb.com/api/v1/calculate/pressure-force-area?force_n=500&area_m2=0.02"},{"name":"700 N (71 kg person) on 0.05 m² (two feet)","inputs":{"force_n":700,"area_m2":0.05},"expected":{"pressure_pa":14000,"pressure_kpa":14,"pressure_psi":2.0305,"pressure_atm":0.1382},"url":"https://tttkmbb.com/api/v1/calculate/pressure-force-area?force_n=700&area_m2=0.05"}],"faq":[{"q":"Is this absolute or gauge pressure?","a":"Neither in particular: it is simply force over area. Gauge readings on tyres or vessels are relative to atmospheric pressure (add 101.325 kPa for absolute)."},{"q":"Why does a small area give a huge pressure?","a":"Pressure is inversely proportional to area: the same weight on a stiletto heel (about 1 cm²) exerts hundreds of times the pressure of a flat shoe."}],"tags":["pressure","force per area","pascal","psi","bar","atm"],"related":[{"calculator_id":"newtons-second-law","reason":"Compute the force from mass and acceleration or weight."},{"calculator_id":"density-mass-volume","reason":"Density of the material exerting the load."},{"calculator_id":"ideal-gas-law","reason":"Gas pressure from volume, temperature and amount."}],"links":{"html":"https://tttkmbb.com/physics/pressure-force-area","markdown":"https://tttkmbb.com/physics/pressure-force-area.md","json":"https://tttkmbb.com/physics/pressure-force-area.json","api":"https://tttkmbb.com/api/v1/calculate/pressure-force-area","schema":"https://tttkmbb.com/api/v1/calculators/pressure-force-area","openapi":"https://tttkmbb.com/openapi.json","mcp":"https://tttkmbb.com/mcp"},"version":"v1","updated_at":"2026-09-23"},"timestamp":"2026-09-23T23:28:20Z"}