{"success":true,"version":"v1","request":{"tool":"get_calculator_schema","calculator_id":"work-power"},"result":{"entity_type":"calculator","id":"work-power","calculator_id":"work-power","canonical_url":"https://tttkmbb.com/physics/work-power","name":"Work & Power Calculator","title":"Work and Power Calculator – W = F·d·cos θ and P = W / t in Joules, Watts and Horsepower","category":"physics","category_name":"Physics","tool_name":"calculate_work_and_power","featured_mcp_tool":false,"description":"Computes the mechanical work done by a constant force over a displacement, allowing for the angle between force and motion, and the average power when the duration is supplied.","use_when":"You know a constant force, the distance it acts over (optionally the angle and the time taken) and need the work in joules or the average power in watts, kilowatts or horsepower.","do_not_use_when":"The force varies with position (for springs use hookes-law), you need electrical power from volts and amps (use electric-power), or you need energy of motion (use kinetic-energy).","inputs":[{"name":"force_n","label":"Force","type":"number","unit":"N","required":true,"min":0,"description":"Magnitude of the constant force in newtons (weight = mass × 9.80665).","example":50},{"name":"distance_m","label":"Distance","type":"number","unit":"m","required":true,"min":0,"description":"Displacement of the point of application in metres.","example":10},{"name":"angle_degrees","label":"Angle between force and motion","type":"number","unit":"°","required":false,"default":0,"min":0,"max":180,"description":"0° when the force acts along the motion; 90° gives zero work; more than 90° gives negative work (e.g. friction).","example":0},{"name":"time_s","label":"Time","type":"number","unit":"s","required":false,"exclusive_min":0,"description":"Optional duration over which the work is done; enables the power outputs.","example":4}],"outputs":[{"name":"work_j","label":"Work","type":"number","unit":"J","decimals":4,"description":"W = F × d × cos θ."},{"name":"work_kj","label":"Work","type":"number","unit":"kJ","decimals":6,"description":"Work in kilojoules."},{"name":"work_kwh","label":"Work","type":"number","unit":"kWh","decimals":6,"description":"Work in kilowatt-hours."},{"name":"power_w","label":"Average power","type":"number","unit":"W","decimals":4,"description":"P = W / t (only when time_s is given)."},{"name":"power_kw","label":"Average power","type":"number","unit":"kW","decimals":6,"description":"Power in kilowatts (only when time_s is given)."},{"name":"power_hp","label":"Average power","type":"number","unit":"hp","decimals":4,"description":"Power in mechanical horsepower, 1 hp = 745.69987 W (only when time_s is given)."}],"input_schema":{"type":"object","properties":{"force_n":{"description":"Magnitude of the constant force in newtons (weight = mass × 9.80665). Unit: N.","type":"number","minimum":0,"examples":[50],"x-unit":"N"},"distance_m":{"description":"Displacement of the point of application in metres. Unit: m.","type":"number","minimum":0,"examples":[10],"x-unit":"m"},"angle_degrees":{"description":"0° when the force acts along the motion; 90° gives zero work; more than 90° gives negative work (e.g. friction). Unit: °.","type":"number","minimum":0,"maximum":180,"default":0,"examples":[0],"x-unit":"°"},"time_s":{"description":"Optional duration over which the work is done; enables the power outputs. Unit: s.","type":"number","exclusiveMinimum":0,"examples":[4],"x-unit":"s"}},"additionalProperties":false,"required":["force_n","distance_m"]},"output_schema":{"type":"object","properties":{"work_j":{"description":"W = F × d × cos θ. Unit: J.","type":"number","x-unit":"J"},"work_kj":{"description":"Work in kilojoules. Unit: kJ.","type":"number","x-unit":"kJ"},"work_kwh":{"description":"Work in kilowatt-hours. Unit: kWh.","type":"number","x-unit":"kWh"},"power_w":{"description":"P = W / t (only when time_s is given). Unit: W.","type":"number","x-unit":"W"},"power_kw":{"description":"Power in kilowatts (only when time_s is given). Unit: kW.","type":"number","x-unit":"kW"},"power_hp":{"description":"Power in mechanical horsepower, 1 hp = 745.69987 W (only when time_s is given). Unit: hp.","type":"number","x-unit":"hp"}}},"formula":"work_j = force_n × distance_m × cos(angle_degrees); power_w = work_j / time_s; power_hp = power_w / 745.69987","sources":[{"name":"Wikipedia – Work (physics)","url":"https://en.wikipedia.org/wiki/Work_(physics)","type":"reference","retrieved_at":"2026-09-23"},{"name":"Wikipedia – Power (physics)","url":"https://en.wikipedia.org/wiki/Power_(physics)","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":"50 N over 10 m in 4 s","inputs":{"force_n":50,"distance_m":10,"time_s":4},"expected":{"work_j":500,"work_kj":0.5,"power_w":125,"power_kw":0.125,"power_hp":0.1676},"url":"https://tttkmbb.com/api/v1/calculate/work-power?force_n=50&distance_m=10&time_s=4"},{"name":"100 N at 60° over 20 m","inputs":{"force_n":100,"distance_m":20,"angle_degrees":60},"expected":{"work_j":1000,"work_kj":1},"url":"https://tttkmbb.com/api/v1/calculate/work-power?force_n=100&distance_m=20&angle_degrees=60"}],"faq":[{"q":"Why is the work zero at 90°?","a":"Only the force component along the displacement does work; a force perpendicular to the motion (like the normal force on a sliding block) transfers no energy."},{"q":"Which horsepower is used?","a":"Mechanical (imperial) horsepower, 745.69987 W. Metric horsepower (PS) is 735.49875 W, about 1.4 % smaller."}],"tags":["work","power","horsepower","joules","watts","force times distance"],"related":[{"calculator_id":"kinetic-energy","reason":"Net work equals the change in kinetic energy."},{"calculator_id":"electric-power","reason":"Electrical power from voltage and current."},{"calculator_id":"newtons-second-law","reason":"Get the force from mass and acceleration."}],"links":{"html":"https://tttkmbb.com/physics/work-power","markdown":"https://tttkmbb.com/physics/work-power.md","json":"https://tttkmbb.com/physics/work-power.json","api":"https://tttkmbb.com/api/v1/calculate/work-power","schema":"https://tttkmbb.com/api/v1/calculators/work-power","openapi":"https://tttkmbb.com/openapi.json","mcp":"https://tttkmbb.com/mcp"},"version":"v1","updated_at":"2026-09-23"},"timestamp":"2026-09-23T23:25:41Z","next_actions":[{"tool":"run_calculator","calculator_id":"work-power","reason":"Run Work & Power Calculator with the inputs above."}],"links":{"markdown":"https://tttkmbb.com/physics/work-power.md"}}