Applied math calculators

Formula calculators for physics, engineering, chemistry, finance, economics and applied statistics. Each gathers the standard equations of one field on a single page, so you can solve for whichever quantity is missing.

Which calculator do I need?

You have or want	Use
Distance, speed or time from a constant acceleration, or projectile range	Physics calculator
Current from voltage and resistance, or a voltage divider	Engineering calculator
Molar mass, molarity, a dilution or pH	Chemistry calculator
The present or future value of money, or the NPV and IRR of cash flows	Financial mathematics calculator
Price elasticity of demand, CAGR or the GDP deflator	Econometrics calculator
A frequency table and histogram from raw data	Data analysis calculator
Sensitivity, odds ratio or relative risk from a 2×2 table	Biostatistics calculator

Physical sciences and engineering

The standard formulas of mechanics, circuits and chemistry, solved for any unknown.

Physics calculator

SUVAT from any three values, F = ma, energy, power, momentum, projectile range and height, density, pressure and wave speed.
Engineering calculator

Ohm's law, resistor and capacitor networks, voltage dividers, stress and strain, torque, gear ratios and RC time constants.
Chemistry calculator

Molar mass from a formula, moles and particles, molarity, dilution, the ideal gas law, pH and percent composition.

Finance and economics

The time value of money and the ratios economists use.

Financial mathematics calculator

Present and future values, annuities and perpetuities, effective rates, and the NPV, IRR and payback of cash flows.
Econometrics calculator

Price, income and cross elasticity, the GDP deflator, CAGR, the Durbin–Watson statistic and simple OLS with standard errors.

Data and health statistics

Applied statistics for summarising data and reading clinical 2×2 tables.

Data analysis calculator

Raw data to a frequency table: classes by width or Sturges, relative and cumulative frequency, histogram, ogives and grouped averages.
Biostatistics calculator

From a 2×2 table: sensitivity, specificity, predictive values, likelihood ratios, relative risk, odds ratio and NNT with CIs.

One page per field

Each applied calculator collects the formulas of one subject, so you do not have to hunt for a separate tool for every equation. Pick the formula, fill in the values you know, and the page solves for the rest and shows the substitution. Units are part of every input. Mixing kilometres with metres per second is the most common source of wrong answers in physics and engineering.

Worked examples across the fields

Physics: a ball dropped from rest (u = 0) with g = 9.81 m/s² falls s = ½gt² = 19.62 m in 2 s and reaches v = gt = 19.62 m/s. The physics calculator solves any SUVAT equation from three known values.
Engineering: 12 V across 4 Ω gives I = V/R = 3 A and a power of P = VI = 36 W, in the engineering calculator.
Finance: 1,000 invested at 5% a year, compounded annually for 10 years, grows to 1,000 × 1.05¹⁰ = 1,628.89. The financial mathematics calculator also runs this backwards to find a present value.

Where to go for more depth

The last four calculators each overlap with a larger part of the site. For savings, loans and retirement, see the finance calculators. For regression beyond the simple OLS on the econometrics page, see the linear regression calculator. The data analysis calculator builds a full frequency table, and the histogram maker and frequency distribution calculator give more control over the chart. The biostatistics calculator computes everything from one 2×2 table. The sensitivity and specificity and relative risk calculators explain each measure in more detail.

A common mix-up

A test with 90% sensitivity does not mean a positive result is 90% likely to be right. That is the positive predictive value, and it depends on how common the condition is. The biostatistics calculator reports both, so the difference is easy to see.

Guides to read alongside

Standard deviation use cases

How spread is measured in manufacturing, laboratories, finance and research.
How to interpret standard deviation

Reading a spread in context, whether it is lab measurements or investment returns.
Statistics formulas

Reference formulas behind the data analysis and biostatistics tools.

Common questions

Which units do the applied calculators use?

SI units, such as metres, seconds, kilograms, volts and moles per litre, and each result states its unit. Where a page accepts other units, such as the ideal gas law on the chemistry calculator, it converts them for you; otherwise convert everything to SI before you enter it.

What is the difference between NPV and IRR?

NPV discounts every cash flow at a rate you choose and adds them up, so a positive NPV means the project beats that rate. IRR is the rate that makes the NPV exactly zero. The financial mathematics calculator reports both, and the payback period, from one list of cash flows.

Is the chemistry calculator’s molar mass exact?

It uses the IUPAC abridged standard atomic weights to five significant figures, such as Cl = 35.45, and adds them according to the formula you type, including brackets such as Ca(OH)2 and hydrates. Textbooks that round Cl to 35.5 will give slightly different answers.

Written and reviewed by our editorial team. Last updated September 27, 2026. Method and sources: how these numbers are computed.