About

Engineering and scientific computations require absolute precision. This tool is designed to bridge the gap between theoretical equations and practical application. Unlike standard calculators that require you to manually rearrange algebra, this engine employs a non-linear solving algorithm. You input the variables you know, and the system isolates and computes the unknown quantity automatically.

The database integrates over 50 fundamental equations across six major branches of physics. It includes a built-in material property reference for densities, specific heats, and resistivities, reducing the need to consult external tables. All calculations are normalized to SI base units (kg, m, s, A, K) to prevent dimensional analysis errors, a common source of failure in structural and electrical engineering projects.

Formulas

The system utilizes a standard set of physical laws. Below are the structural representations of the core logic applied in the solver.

Newton's Second Law: F = m ⋅ a

Bernoulli's Equation (Static): P + 12ρv² + ρgh = C

Ohm's Law: I = VR

Snell's Law: n₁ sinθ₁ = n₂ sinθ₂

Mathematical operations handle floating-point precision up to 10 decimal places before rounding for display.

Reference Data

Quantity / Constant	Symbol	Value / Definition	SI Unit
Speed of Light (Vacuum)	c	299,792,458	m/s
Gravitational Constant	G	6.67430 × 10^-11	m³/kg⋅s²
Standard Gravity	g	9.80665	m/s²
Planck Constant	h	6.62607 × 10^-34	J⋅s
Elementary Charge	e	1.60217 × 10^-19	C
Avogadro Number	N_A	6.02214 × 10²³	mol^-1
Gas Constant	R	8.31446	J/mol⋅K
Boltzmann Constant	k_B	1.38064 × 10^-23	J/K
Vacuum Permittivity	ε₀	8.85418 × 10^-12	F/m
Vacuum Permeability	μ₀	1.25663 × 10^-6	N/A²
Density of Water (4°C)	ρ_water	1000	kg/m³
Speed of Sound (Air, 20°C)	v_sound	343	m/s
Atmospheric Pressure	P_atm	101,325	Pa

Frequently Asked Questions

Yes. Every input field has a unit selector. If you enter velocity in km/h and mass in grams, the system converts these to meters/second and kilograms (SI base units) internally, performs the calculation, and then allows you to view the result in any supported unit.

The system contains error suppression logic. If a calculation results in infinity or Not-a-Number (NaN) due to invalid physics inputs (like zero resistance in a voltage circuit), a user-friendly error notification will appear explaining the conflict.

The built-in reference database uses standard engineering values (typically at STP: Standard Temperature and Pressure). For high-precision laboratory work, we recommend manually inputting the specific values measured in your experiment, as impurities affect these constants.

No, this tool operates on single-equation determinism. You must provide N-1 known variables to solve for the Nth variable. For systems of equations (e.g., complex mesh analysis), a matrix solver would be required.

In formulas involving "g", the default is Earth's standard gravity (9.80665 m/s²). However, "g" is exposed as an editable variable in relevant formulas, allowing calculations for the Moon, Mars, or orbital environments.