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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.

Updated 2026-07-03

Overview

Some unit conversions come up constantly โ€” metres to feet, Celsius to Fahrenheit โ€” and are covered by simple, well-known converters. Others are less common but still essential in specific fields: 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 but genuinely useful conversions in one place.

Several of these conversions rely on standard approximations rather than exact physical constants โ€” that's noted explicitly for each one below, since it matters for 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 โ€” a part might be specified in Rockwell C while a supplier's certificate reports Brinell. Because different hardness tests use different indenter shapes and loads, there's no single formula connecting them; instead, 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 โ€” percent, ppm, ppb, and mg/L among them โ€” and comparing a result against a regulatory threshold often requires converting between them. The Concentration Converter handles this using the standard dilute-solution approximation (1 mg/L โ‰ˆ 1 ppm for water-based solutions), which covers the vast majority of 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 uses the older rem and millirem instead โ€” a factor-of-100 difference at every level that's easy to get wrong manually. 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 vice versa. The Coordinates Converter keeps both formats in sync for latitude and longitude simultaneously, 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 (openings per linear inch), while particle size data from lab instruments is usually given in microns โ€” and because mesh number and opening size are inversely related, converting between them isn't a simple multiplication. The Mesh-to-Micron Converter applies the standard industry approximation used across sieve manufacturers (microns โ‰ˆ 15,000 รท mesh).

Key Terms

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

Frequently Asked Questions

CGS units persist in certain areas of physics, particularly electromagnetism, astrophysics, and older published research, partly because some equations take a simpler form in CGS than in SI, and partly due to long-standing convention in scientific literature. 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.
Each hardness scale uses a different indenter shape and load โ€” Rockwell reads depth directly, Brinell measures indent diameter, and Vickers measures indent diagonal โ€” 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.
For dilute aqueous (water-based) solutions, 1 ppm is approximately equal to 1 mg/L, because water's density is close enough to 1 kg/L for the two units to be treated as numerically equivalent. The [Concentration Converter](/concentration-converter/) applies this standard approximation alongside percent, ppb, and other concentration units.
Gray measures absorbed dose (raw energy deposited in tissue), while sievert measures equivalent dose (absorbed dose weighted by how biologically damaging the radiation type is) โ€” for X-rays, gamma rays, and beta particles, the two are 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.
Take the whole-number part of the decimal value as degrees, multiply the remaining decimal 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.
Mesh size describes how many openings a sieve has per linear inch, and because more openings per inch means each opening is necessarily smaller, mesh number and micron opening size have an inverse relationship, not a proportional one. The [Mesh-to-Micron Converter](/mesh-to-micron-converter/) applies the standard industry approximation (microns โ‰ˆ 15,000 รท mesh) used across sieve manufacturers.
The exact conversions (like therm to BTU, or sievert to rem) are precise by definition, but several tools in this guide โ€” hardness scale conversion, ppm-to-mg/L, and mesh-to-micron โ€” rely on standard industry approximations rather than universal physical constants. For quality-critical, regulatory, or published research use, always cross-check against the specific certified standard (ASTM, IAU, EPA, etc.) relevant to your field.
These converters share a common trait: they handle unit systems that are less commonly needed than everyday conversions like length or weight, but come up 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.
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, while hardness scale conversion, ppm-to-mg/L concentration conversion, and mesh-to-micron conversion rely on standard industry approximations rather than universal constants. Check each tool's methodology section for the specific precision level.
No โ€” each converter accepts a plain numeric input and returns the converted value directly, without requiring you to understand the underlying physics or derive the conversion factor yourself. The accompanying explanation for each tool covers the context if you want to understand why the conversion works the way it does.
Yes โ€” the [Coordinates Converter](/coordinates-converter/) includes separate synced fields for latitude and longitude, so a full GPS coordinate pair converts simultaneously rather than requiring two separate conversions.

Related Articles

COMPARISON

Sievert vs Rem โ€” Radiation Dose Units Explained

HOW TO

How to Convert Decimal Degrees to DMS Coordinates