HARDERWARE
HARDERWARE / FIRST PRINCIPLES

Build engineering intuition with numbers.

Seven interactive, simulation-only models with transparent units, worked examples, error handling and accessible result tables. No equipment required.

Interactive calculators

JavaScript is required to calculate. The worked examples and equations below remain available without it.

Limits and interpretation

These idealized calculations omit measurement uncertainty, temperature-dependent material properties, friction, electrical protection, pipe losses, equipment ratings and safety factors. Results are educational, not designs for energized equipment, vessels, medical devices or industrial processes.

The sensor-noise example uses a fixed, reproducible demonstration sequence, not real sensor measurements. Results are not a statistical characterization of a device.

Worked example: 5 V across 1000 Ω produces 0.005 A and 0.025 W. At 12 L/min over 5 minutes, the ideal integrated volume is 60 L. A 20-tooth driving gear and 40-tooth driven gear at 120 rpm yields 60 rpm, ignoring losses.