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Work & Power Calculator

Science & Engineering

W=Fs·cosθ · P=W/t · P=Fv · kWh/horsepower

Quick Answer

Work & Power Calculator: W=Fs·cosθ · P=W/t · P=Fv · kWh/horsepower. Work & Power Calculator uses standard science & engineering formulas to compute accurate results instantly.

N
m
°
Work W
1,500 J
Positive work — the force helps the motion
cos θ1.0000
In kJ1.5 kJ
In kWh0.000417 kWh
VerdictPositive

Typical power levels

ScenarioPowerNote
Walking≈60 Wnormal pace
Cycling≈150 Wcommuting pace
Home air conditioner≈1 kWcooling mode
Electric kettle≈1.8 kWboils a pot in ~5 min
Car cruising20–60 kWat 90–120 km/h
High-speed train≈10 MW8-car set in service
θ is the angle between force and displacement: θ<90° positive work, θ=90° no work (e.g. carrying a bag while walking horizontally), θ>90° negative work (e.g. friction). 1 kWh = 3.6×10⁶ J. Work measures "how much is done"; power P=W/t measures "how fast" — a 1 kW AC running 8 h uses 8 kWh. Traction power P=F·v explains why a car has less pulling force at higher speed under fixed engine power.

Calculation steps

  1. 1cos θ = cos 0° = 1.0000
  2. 2W = F × s × cos θ = 150 N × 10 m × 1.0000
  3. 3W = 1,500 J = 1,500 J

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How to Use

  1. Enter known quantities: fill values and confirm units in the Work & Power Calculator.
  2. Instant solution: unknowns solve live with the formula shown transparently.
  3. Use constant/material tables: standard physical constants and material data are listed on this page.
  4. Compare conditions: change inputs to compare scenarios.

Key Points

  • Work & Power Calculator is a free online science & engineering tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: W=Fs·cosθ · P=W/t · P=Fv · kWh/horsepower.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Work & Power Calculator formula

Work & Power Calculator uses standard science & engineering formulas to compute accurate results instantly.

FAQ

How do I use the Work & Power Calculator?
Open the page and fill in the input fields — results update automatically. W=Fs·cosθ · P=W/t · P=Fv · kWh/horsepower.
Are the results accurate?
Yes. Standard formulas and conversion factors are used and verified.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. Everything runs locally in your browser.

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Source & Updates

Based on CODATA recommended constants and standard physics formulas. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Work & Power Calculator[EB/OL]. https://www.yijiansuan.com/en/c/science/work

Results provided by this tool are for reference only and do not constitute professional advice.