Understanding Carats to Slugs Conversion
The metric carat (ct) is a unit of mass equal to exactly 200 milligrams, used worldwide to weigh gemstones and pearls. The slug is the imperial unit of mass in the foot-pound-second system, about 14.5939 kilograms. This niche conversion links gemstone carats to the engineering slug used in Newtonian force and acceleration calculations.
Conversion Formula
To convert carats to slugs, multiply by this factor:
Step-by-Step Example
Convert 25 carats to slugs.
How to Convert Carats to Slugs
Convert any carats value into slugs in three quick steps.
- Note the carat weight: Take the gemstone or parcel mass in carats (ct).
- Multiply by the factor: Multiply the carat figure by 0.00001370435 to convert into slugs.
- State the result: The product is the equivalent mass in slugs (slug).
For example, 25 carats equals 3.42609e-4 slug.
Carats to Slugs conversion table
| Carats (ct) | Slugs (slug) |
|---|---|
| 0 | 0 |
| 1 | 0.00001370435 |
| 2 | 0.00002740871 |
| 3 | 0.00004111306 |
| 4 | 0.00005481741 |
| 5 | 0.00006852177 |
| 6 | 0.00008222612 |
| 7 | 0.00009593047 |
| 8 | 0.0001096348 |
| 9 | 0.0001233392 |
| 10 | 0.0001370435 |
| 15 | 0.0002055653 |
| 20 | 0.0002740871 |
| 25 | 0.0003426088 |
| 30 | 0.0004111306 |
| 40 | 0.0005481741 |
| 50 | 0.0006852177 |
| 60 | 0.0008222612 |
| 70 | 0.0009593047 |
| 80 | 0.001096348 |
| 90 | 0.001233392 |
| 100 | 0.001370435 |
| 150 | 0.002055653 |
| 200 | 0.002740871 |
| 250 | 0.003426088 |
| 300 | 0.004111306 |
| 400 | 0.005481741 |
| 500 | 0.006852177 |
| 600 | 0.008222612 |
| 700 | 0.009593047 |
| 800 | 0.01096348 |
| 900 | 0.01233392 |
| 1000 | 0.01370435 |
| 2000 | 0.02740871 |
| 3000 | 0.04111306 |
| 4000 | 0.05481741 |
| 5000 | 0.06852177 |
| 10000 | 0.1370435 |
| 25000 | 0.3426088 |
| 50000 | 0.6852177 |
| 100000 | 1.370435 |
| 250000 | 3.426088 |
| 500000 | 6.852177 |
| 1000000 | 13.70435 |
What is the Carat?
The carat is a unit of mass used to weigh gemstones and pearls. It should not be confused with the "karat," which measures gold purity.
Definition
The metric carat is defined as exactly 200 milligrams:
That is, 1 carat = 200 mg = 0.2 g exactly. Each carat is further divided into 100 "points," so a 0.25 ct stone is called a 25-point diamond.
Origin and History
The word derives from the carob seed (Greek keration), historically used as a counterweight in balancing scales because its mass was thought to be remarkably consistent. To end regional variation, the metric carat of exactly 200 mg was adopted internationally in the early 20th century, around 1907–1914.
Law and Notable Facts
The metric carat is legally recognized in most countries for the gem trade. A common misconception is that carat measures a diamond's size; it actually measures mass, so two stones of equal carat can look different depending on cut and shape.
Real-World Examples and Conversions
A typical engagement-ring diamond is around 1 carat (200 mg). The Hope Diamond weighs about 45.52 carats (≈9.10 g). Five carats equal exactly one gram.
What is the Slug?
The slug is the unit of mass in the British Gravitational (foot–pound–second) system of units, used chiefly in engineering and physics involving imperial units.
Definition
The slug is the mass that accelerates at 1 foot per second squared when a force of one pound-force is applied:
It follows from , giving exactly 14.593902937206 kg. A one-slug mass therefore weighs about 32.174 pounds-force under standard gravity.
Origin and History
The slug was introduced in the early 20th century to give the imperial system a coherent mass unit consistent with Newton's second law, avoiding confusion between the pound as a unit of mass and the pound-force as a unit of force. The name was popularized by British physicist Arthur Mason Worthington.
Law and Notable Facts
The slug is not part of SI but remains in use in some U.S. and British engineering fields, especially aeronautics and ballistics. Its counterpart is the "slinch" (pound·s²/inch), which is exactly 12 times larger.
Real-World Examples and Conversions
An object weighing 32.174 lbf at standard gravity has a mass of exactly 1 slug (≈14.59 kg). A 160-pound person has a mass of roughly 4.97 slugs. One slug is close to the mass of a typical bowling-ball-and-a-half, about 14.6 kg.
Frequently Asked Questions
What is a carat?
A metric carat is exactly 200 milligrams, the international standard for weighing gemstones and pearls; it is unrelated to karat, which measures gold purity.
How many slugs is one carat?
One carat is about 0.00001370435 slugs.
What is a slug used for?
The slug is the mass that accelerates at one foot per second squared under one pound-force, used in imperial engineering mechanics.
How do I convert carats to slugs?
Multiply the carat value by 0.00001370435 to obtain slugs.
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Complete Carats conversion table
| Unit | Result |
|---|---|
| Micrograms (mcg) | 200000 mcg |
| Milligrams (mg) | 200 mg |
| Grams (g) | 0.2 g |
| Kilograms (kg) | 0.0002 kg |
| Metric Tonnes (mt) | 2e-7 mt |
| Ounces (oz) | 0.007054792 oz |
| Pounds (lb) | 0.0004409245 lb |
| Stones (st) | 0.00003149461 st |
| Tons (t) | 2.204623e-7 t |
| Long Tons (long-ton) | 1.968413e-7 long-ton |
| Troy Ounces (ozt) | 0.006430149 ozt |
| Grains (gr) | 3.086472 gr |
| US Hundredweights (cwt-us) | 0.000004409245 cwt-us |
| UK Hundredweights (cwt-uk) | 0.000003936826 cwt-uk |
| Slugs (slug) | 0.00001370435 slug |