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Finance, health, math, science, unit conversion, business, food, sports, education, and daily planning. Every calculator includes the tool, formula notes, examples, FAQs, and related guides.

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Five calculator collections

Every calculator is organised into one of five topic areas. Click a collection to browse all the tools, sub-categories, and guides it contains.

Finance

137 calculators

Loans, mortgages, savings, investments, tax, budgets, retirement planning and more.

Finance
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Health & Fitness

385 calculators

BMI, calories, nutrition, body composition, fitness training, sports and wellbeing.

HealthSportsFood
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Science & Engineering

755 calculators

Physics, chemistry, construction, unit conversion, technology and technical design.

ConstructionConversionPhysicsChemistryEngineeringTechnology
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Business & Data

252 calculators

Profit margins, ROI, pricing, statistics, payroll, revenue and business planning.

StatisticsBusiness
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Everyday Life

491 calculators

Math, dates, discounts, tips, education, ecology and everyday household decisions.

MathEveryday LifeEcologyEducation
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Browse by category

Calculator categories

Each category page works like a focused mini-library with topic clusters, descriptions, internal links, and calculator pages targeting specific search intent.

Finance

Plan loans, savings, investments, taxes, budgets, interest, and everyday money decisions with clear formulas and examples.

137 calculators

Health

Estimate health, fitness, nutrition, body measurements, and wellness metrics using practical reference formulas.

135 calculators

Math

Solve percentages, ratios, fractions, averages, geometry, algebra helpers, and common school or workplace math problems.

131 calculators

Construction

Estimate materials, areas, volumes, costs, paint, concrete, flooring, roofing, and renovation quantities.

130 calculators

Conversion

Convert units for length, weight, temperature, speed, volume, area, pressure, energy, and daily measurements.

125 calculators

Physics

Work with speed, force, energy, motion, electricity, waves, pressure, and classroom science formulas.

125 calculators

Chemistry

Use chemistry helpers for concentration, molarity, dilution, gas laws, molecular mass, and lab calculations.

125 calculators

Statistics

Analyze averages, probability, samples, confidence, variation, scores, and data interpretation problems.

125 calculators

Business

Estimate profit, margins, markup, inventory, payroll, pricing, revenue, productivity, and business planning metrics.

127 calculators

Everyday Life

Quick calculators for dates, time, tips, discounts, travel, fuel, recipes, shopping, and household planning.

110 calculators

Sports

Calculate pace, performance, training zones, scores, ratios, sports statistics, and fitness planning numbers.

125 calculators

Food

Scale recipes, estimate calories, cooking conversions, ingredient weights, nutrition, and meal planning quantities.

125 calculators

Ecology

Estimate energy use, water use, carbon footprint, recycling, transport impact, and sustainable living metrics.

125 calculators

Engineering

Work through mechanical, electrical, civil, and systems engineering formulas for practical design checks.

125 calculators

Education

Support learning with grade, score, GPA, reading, study time, classroom math, and academic planning calculators.

125 calculators

Technology

Estimate bandwidth, storage, download time, screen sizes, data transfer, battery life, and computing metrics.

125 calculators

Accuracy and transparency

Why United Calculator

Every page follows the same content standard: formula derivation, a worked example with real numbers, applicable laws or professional guidance, 6 plain-language FAQs, and links to 8 related tools.

Verified formulas

Each formula engine is based on published standards — TILA for loan calculations, METS tables for energy expenditure, ASTM standards for materials, and equivalents across 16 subject areas. The formula is shown in a code block on every result card so you can verify the calculation independently.

Professional context, not professional advice

Finance and health calculators cover applicable legislation (CFPB, NHS, OSHA) and reference professional thresholds (e.g. debt-to-income ratios accepted by lenders, WHO BMI categories). Every page includes a disclaimer — these tools are planning aids. Consequential decisions should be reviewed with a qualified professional.

No account, no tracking, no fee

Calculations run entirely in your browser. No data leaves your device. There are no login walls, no usage limits, no subscription tiers, and no premium paywalls. The only data stored is nothing — no cookies are set beyond what your browser requires to render the page.

Transparent methodology

Smart defaults come from published benchmarks — median UK household income from ONS, US average mortgage rate from Freddie Mac weekly surveys, average commute distances from the US Census ACS. Defaults are documented in the article body on each calculator page.

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Simple by design

How United Calculator works

Three steps from question to answer — no account, no subscription, no ads cluttering the result.

Search or browse

Type a topic into the search box or click a category. Each category is a mini-library of 125 calculator pages targeting specific questions — loan payments, BMI, tile counts, carbon footprint, and more.

Enter your values

Smart defaults are pre-filled so you get an immediate example result. Replace any field with your own data. Click the ? icon on any field for a plain-language explanation of what that input means.

Read, copy, and share

The result updates in real time. The formula is shown in a code block below the answer. Copy the result to your clipboard, share it to 8 social platforms, or scroll down for the full explanation, FAQs, and 8 related calculators.

Thermal Expansion Calculator

Thermal Expansion Calculator — calculate thermal expansion with the correct physics formula. Worked example and unit notes included.

A physics calculator applies fundamental equations from classical mechanics, thermodynamics, fluid dynamics, and materials science to compute unknown quantities from known inputs. Physics formulas relate physical quantities — force, mass, acceleration, velocity, pressure, energy, temperature — through well-established mathematical relationships derived from physical laws. Engineering applications of these formulas underpin structural design, mechanical systems, fluid handling, heat transfer, and electrical systems. and provide related engineering calculation tools.

The key to applying physics formulas correctly is dimensional analysis — ensuring that the units on both sides of an equation are consistent. SI units (metres, kilograms, seconds, newtons, pascals, joules, watts) are the international standard for engineering calculations. Converting all inputs to SI units before calculating, then converting the result to the required output unit, eliminates the most common source of physics calculation errors.

  1. Identify the physical quantity you want to calculate (force, velocity, pressure, torque, etc.).
  2. Select the appropriate formula and identify which variables are known and which is unknown.
  3. Convert all inputs to consistent SI units before entering values.
  4. Enter the known values — the calculator solves for the target quantity.
  5. Check the result against physical intuition — an order-of-magnitude sanity check catches unit errors.
  6. Convert the result to required output units if needed.

Core physics and engineering formulas

Newton's second law: F = ma (Force = mass × acceleration)

Speed: v = d/t (velocity = distance ÷ time)

Kinetic energy: KE = ½mv² (mass × velocity²)

Potential energy: PE = mgh (mass × gravity × height)

Power: P = W/t = F × v (work per unit time)

Pressure: P = F/A (force per unit area)

Torque: T = F × r (force × lever arm distance)

Stress: σ = F/A (force per cross-sectional area)

Flow rate: Q = v × A (velocity × cross-sectional area)

Heat transfer: Q = ṁ × Cp × ΔT (mass flow × specific heat × temperature difference)

Engineering physics calculation context

SI unit reference

Key SI units for engineering: Force — Newton (N = kg·m/s²); Pressure/Stress — Pascal (Pa = N/m²); Energy — Joule (J = N·m); Power — Watt (W = J/s); Torque — Newton-metre (N·m); Flow rate — cubic metres per second (m³/s); Temperature — Kelvin (K) or Celsius (°C for differences). Common conversions: 1 bar = 100,000 Pa; 1 MPa = 1 N/mm² (useful for material stress); 1 kW = 1,000 W; 1 litre/second = 0.001 m³/s. Engineering safety factors typically require calculated values to be divided by a safety factor of 1.5–4× before use in design.

Physics tips and best practices

Common mistakes to avoid

Engineering calculations that affect structural integrity, pressure systems, electrical installations, or other safety-critical applications must be carried out or reviewed by a chartered or licensed engineer in accordance with applicable codes and standards (BS EN Eurocodes, ASME, ISO, IEC, and national equivalents). This calculator provides educational estimates only and does not constitute professional engineering advice. Safety-critical design calculations must comply with all applicable standards and regulations.