Hooke's-law spring force & energy API

Applies Hooke's law F=k·x to solve for the missing one of spring constant, displacement, or force, and always reports the stored elastic energy U=½k·x². Answers 'What force does a spring exert at a given extension?', 'How much energy is stored in a compressed spring?'.

Price$0.02per request

MethodPOST

Route/v1/engineering/hookes-law-spring

StatusLive

MIME typeapplication/json

Rate limit120/minute

Cache0s public

engineeringmechanicsphysicsspringhookes-lawspring-constantelastic-energystiffness

API URLhttps://x402.hexl.dev/v1/engineering/hookes-law-spring

Integration docs

Example request

{
  "springConstantNm": 200,
  "displacementM": 0.1
}

Example response

{
  "springConstantNm": 200,
  "displacementM": 0.1,
  "forceN": 20,
  "storedEnergyJ": 1,
  "formula": "F = k*x, U = 0.5*k*x^2"
}

Input schema

{
  "type": "object",
  "required": [],
  "properties": {
    "springConstantNm": {
      "type": "number",
      "description": "spring constant k (N/m)",
      "examples": [
        200
      ]
    },
    "displacementM": {
      "type": "number",
      "description": "extension/compression x (m)"
    },
    "forceN": {
      "type": "number",
      "description": "spring force F (N)"
    }
  }
}

Output schema

{
  "type": "object",
  "additionalProperties": true
}