Slugs (slug) to Carats (ct) conversion

1 slug = 72969.51 ctctslug
Formula
1 slug = 72969.51 ct

Understanding Slugs to Carats Conversion

The slug is the mass unit of the imperial gravitational system, equal to about 14.59 kilograms and defined as the mass accelerated at 1 ft/s² by one pound-force. The carat is a small mass unit of exactly 200 milligrams used almost exclusively for gemstones and pearls. Converting between them spans an enormous range, illustrating how a single engineering-scale slug compares with the tiny units of the jewelry trade.

Conversion Formula

1 slug=72969.5 ct1\ \text{slug} = 72969.5\ \text{ct}

To convert Slugs to Carats, multiply by this factor:

ct=slug×72969.51\text{ct} = \text{slug} \times 72969.51

Step-by-Step Example

Convert 25 Slugs to Carats.

ct=25×72969.51=1824240 ct\text{ct} = 25 \times 72969.51 = 1824240\ \text{ct}

How to Convert Slugs to Carats

Bridge the imperial slug and the gem-trade carat with one multiplication.

  1. Note the factor: One slug equals 72969.51 carats.
  2. Take your mass: Start with the value in slugs.
  3. Multiply: Multiply by 72969.51 to get carats.
  4. Result: For 25 slugs, 25 × 72969.51 ≈ 1,824,240 ct.

Slugs to Carats conversion table

Slugs (slug)Carats (ct)
00
172969.51
2145939
3218908.5
4291878.1
5364847.6
6437817.1
7510786.6
8583756.1
9656725.6
10729695.1
151094543
201459390
251824238
302189085
402918781
503648476
604378171
705107866
805837561
906567256
1007296951
15010945430
20014593900
25018242380
30021890850
40029187810
50036484760
60043781710
70051078660
80058375610
90065672560
100072969510
2000145939000
3000218908500
4000291878100
5000364847600
10000729695100
250001824238000
500003648476000
1000007296951000
25000018242380000
50000036484760000
100000072969510000

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:

1 slug=14.5939 kg1\ \text{slug} = 14.5939\ \text{kg}

It follows from 1 slug=1 lbfs2/ft1\ \text{slug} = 1\ \text{lbf} \cdot \text{s}^2/\text{ft}, 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.

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:

1 ct=0.0002 kg1\ \text{ct} = 0.0002\ \text{kg}

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.

Frequently Asked Questions

How many carats are in one slug?

One slug equals 72969.51 carats, since a slug is about 14.59 kg and a carat is exactly 200 mg.

How do I convert carats back to slugs?

Multiply the carat value by 0.00001370435, or divide by 72969.51.

Why is a carat exactly 200 milligrams?

The metric carat was standardized at 0.2 gram in the early twentieth century to give the gem trade a precise, internationally consistent mass unit.

Would anyone actually convert slugs to carats?

Rarely in practice, but the conversion is a useful reference for understanding scale and for cross-checking mixed-unit calculations.

What is 25 slugs in carats?

Twenty-five slugs equal about 1,824,240 carats, showing how vast a slug is compared with gem-scale masses.

Complete Slugs conversion table

slug
UnitResult
Micrograms (mcg)14593900000 mcg
Milligrams (mg)14593900 mg
Grams (g)14593.9 g
Kilograms (kg)14.5939 kg
Metric Tonnes (mt)0.0145939 mt
Carats (ct)72969.51 ct
Ounces (oz)514.7848 oz
Pounds (lb)32.17405 lb
Stones (st)2.298146 st
Tons (t)0.01608702 t
Long Tons (long-ton)0.01436341 long-ton
Troy Ounces (ozt)469.2049 ozt
Grains (gr)225218.3 gr
US Hundredweights (cwt-us)0.3217405 cwt-us
UK Hundredweights (cwt-uk)0.2872683 cwt-uk