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GUIDE

Science & Engineering Unit Conversion Guide

A practical guide to less common science and engineering unit conversions โ€” CGS to SI, material hardness, concentration, radiation dose, and coordinates.

Reviewed by the thecalcu.com team ยท Last updated August 4, 2026

Overview

Some unit conversions come up constantly: metres to feet, Celsius to Fahrenheit, and the like, all covered by simple, well-known converters. Others show up less often but still matter in specific fields, like converting a CGS-era physics textbook value to SI, translating a materials hardness spec between Rockwell and Vickers, or converting a decimal-degree GPS coordinate to the degrees-minutes-seconds format an old survey document uses. This guide collects those less common conversions in one place.

Several of them rely on standard approximations rather than exact physical constants. That's noted for each one below, since it affects how much precision you can expect from the result.

Step 1: Convert Between CGS and SI Units

Physics problems, older research papers, and electromagnetism in particular still use CGS (centimetre-gram-second) units like the dyne, erg, and gauss alongside modern SI units like the newton, joule, and tesla. The CGS to SI Units Converter covers force, energy, pressure, viscosity, and magnetic flux density conversions between the two systems, each using an exact conversion factor.

Step 2: Convert Material Hardness Scales

Material spec sheets and quality reports don't always agree on which hardness scale to use. A part might be specified in Rockwell C while a supplier's certificate reports Brinell. Different hardness tests use different indenter shapes and loads, so there's no single formula connecting them. The Hardness Scale Converter interpolates against a standard steel-based correlation table (closely following ASTM E140) to estimate the equivalent value in Rockwell, Brinell, Vickers, Shore D, or Mohs.

Step 3: Convert Concentration Units

Water quality reports, lab results, and chemistry problems use a range of concentration units, including percent, ppm, ppb, and mg/L, and comparing a result against a regulatory threshold often means converting between them. The Concentration Converter handles this using the standard dilute-solution approximation (1 mg/L is roughly 1 ppm for water-based solutions), which covers most environmental and lab reporting contexts.

Step 4: Convert Radiation Dose Units

Medical imaging reports and occupational radiation safety logs use sievert and millisievert internationally, but the US commonly sticks with the older rem and millirem instead. That's a factor-of-100 difference at every level, and easy to get wrong by hand. The Radiation Dose Converter converts between sievert, gray, rad, and rem, treating gray and sievert (and rad and rem) as numerically equivalent for the X-ray, gamma, and beta radiation types involved in most medical and occupational contexts.

Step 5: Convert GPS Coordinates Between Formats

A survey document, nautical chart, or historical map might list a coordinate in degrees-minutes-seconds (DMS) format, while your GPS device or mapping app expects decimal degrees, or the other way around. The Coordinates Converter keeps both formats in sync for latitude and longitude at once, so editing either representation updates the other instantly.

Step 6: Convert Sieve Mesh Size to Micron Particle Size

Sieve and filtration specifications are typically labelled by mesh number, meaning openings per linear inch, while particle size data from lab instruments usually comes in microns. Because mesh number and opening size move in opposite directions, converting between them isn't a simple multiplication. The Mesh-to-Micron Converter applies the standard industry approximation used across sieve manufacturers (microns is roughly 15,000 divided by mesh).

Key Terms

  • CGS System: the centimetre-gram-second unit system, predating SI, still used in some physics and electromagnetism contexts
  • Vickers Hardness (HV): a hardness scale using a diamond pyramid indenter, commonly used as the reference scale for converting between other hardness scales
  • ppm: parts per million, a ratio-based concentration unit, roughly equal to mg/L in dilute water-based solutions
  • Sievert (Sv): the SI unit of equivalent radiation dose, weighted by how biologically damaging the radiation type is
  • DMS: Degrees, Minutes, Seconds, a traditional coordinate notation still used in surveying, aviation, and nautical navigation

Frequently Asked Questions

Why do CGS units like dyne and erg still show up in physics problems?
CGS units persist in certain areas of physics, particularly electromagnetism, astrophysics, and older published research. Some equations take a simpler form in CGS than in SI, and scientific literature has stuck with the convention for decades. The [CGS to SI Units Converter](/cgs-si-converter/) handles conversions like dyne to newton and erg to joule without needing to look up the factor manually.
What's the difference between hardness scales like Rockwell, Brinell, and Vickers?
Each hardness scale uses a different indenter shape and load. Rockwell reads depth directly, Brinell measures indent diameter, and Vickers measures indent diagonal, so converting between them relies on empirical correlation tables rather than a single formula. The [Hardness Scale Converter](/hardness-scale-converter/) interpolates against a standard steel-based correlation table to estimate the equivalent value in any of these scales.
How do I convert ppm to mg/L for a water quality report?
For dilute aqueous solutions, 1 ppm works out to roughly 1 mg/L, because water's density sits close enough to 1 kg/L that the two units can be treated as numerically equivalent. The [Concentration Converter](/concentration-converter/) applies this standard approximation alongside percent, ppb, and other concentration units.
What's the difference between sievert and gray in radiation dose units?
Gray measures absorbed dose, the raw energy deposited in tissue. Sievert measures equivalent dose, which weights that absorbed dose by how biologically damaging the radiation type is. For X-rays, gamma rays, and beta particles, the two turn out numerically equal. The [Radiation Dose Converter](/radiation-dose-converter/) also converts to and from the older rem and rad units still used in some contexts.
How do I convert a GPS coordinate from decimal degrees to degrees-minutes-seconds?
Take the whole-number part of the decimal value as degrees, multiply the remaining fraction by 60 to get minutes, then multiply that remainder by 60 again to get seconds. The [Coordinates Converter](/coordinates-converter/) does this instantly for both latitude and longitude, keeping both formats in sync as you edit either one.
What is mesh size, and why doesn't it convert to microns with a simple multiplication?
Mesh size describes how many openings a sieve has per linear inch. More openings per inch means each opening is smaller, so mesh number and micron opening size move in opposite directions rather than scaling together. The [Mesh-to-Micron Converter](/mesh-to-micron-converter/) applies the standard industry approximation (microns is roughly 15,000 divided by mesh) used across sieve manufacturers.
Are these approximate conversions accurate enough for professional or regulatory use?
The exact conversions, like therm to BTU or sievert to rem, are precise by definition. But a few tools in this guide, including hardness scale conversion, ppm-to-mg/L, and mesh-to-micron, rely on standard industry approximations rather than universal physical constants. For quality-critical, regulatory, or published research use, cross-check against the specific certified standard (ASTM, IAU, EPA, or whichever body governs your field) before treating the number as final.
Why does this guide group such different topics as hardness, radiation, and coordinates together?
These converters share one thing in common: they handle unit systems that come up less often than everyday conversions like length or weight, but matter regularly in specific scientific, engineering, or industrial contexts. Grouping them here makes it easier to find the right tool without knowing its exact name in advance.
Which of these converters give exact results versus approximations?
CGS-to-SI, radiation dose conversions between sievert/gray and rad/rem, and coordinate format conversion (decimal degrees to DMS) are all exact by mathematical definition. Hardness scale conversion, ppm-to-mg/L concentration conversion, and mesh-to-micron conversion rely on standard industry approximations instead. Check each tool's methodology section for the specific precision level.
Do I need a science background to use these converters?
Not really. Each converter accepts a plain numeric input and returns the converted value directly, without asking you to understand the underlying physics or derive the conversion factor yourself. The explanation next to each tool covers the context if you want to know why the conversion works the way it does.
Can I use the Coordinates Converter for both latitude and longitude in one step?
Yes. The [Coordinates Converter](/coordinates-converter/) includes separate synced fields for latitude and longitude, so a full GPS coordinate pair converts at the same time instead of requiring two separate conversions.

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COMPARISON

Sievert vs Rem โ€” Radiation Dose Units Explained

HOW TO

How to Convert Decimal Degrees to DMS Coordinates