Understanding US Hundredweights to Slugs Conversion
The US hundredweight (cwt-us) is a US customary unit of mass equal to exactly 100 pounds, about 45.359 kilograms. The slug is the unit of mass in the British gravitational (foot–pound–second) system, defined as the mass that accelerates at 1 ft/s² under a force of 1 pound-force—roughly 14.594 kg. This conversion is useful in engineering dynamics, where masses expressed as weights must be recast into slugs for Newtonian force calculations.
Conversion Formula
To convert US Hundredweights to Slugs, multiply by this factor:
Step-by-Step Example
Convert 25 US Hundredweights to Slugs.
How to Convert US Hundredweights to Slugs
Recast short hundredweights into slugs for foot–pound–second dynamics with one multiplication.
- Identify the value: Note the mass in US hundredweights (cwt-us).
- Apply the factor: Multiply by 3.108095, the number of slugs in one hundredweight.
- Keep units consistent: Use slugs whenever forces are in pound-force and accelerations in ft/s².
- Worked result: For 25 cwt-us, slugs.
US Hundredweights to Slugs conversion table
| US Hundredweights (cwt-us) | Slugs (slug) |
|---|---|
| 0 | 0 |
| 1 | 3.108095 |
| 2 | 6.21619 |
| 3 | 9.324285 |
| 4 | 12.43238 |
| 5 | 15.54048 |
| 6 | 18.64857 |
| 7 | 21.75667 |
| 8 | 24.86476 |
| 9 | 27.97286 |
| 10 | 31.08095 |
| 15 | 46.62143 |
| 20 | 62.1619 |
| 25 | 77.70238 |
| 30 | 93.24285 |
| 40 | 124.3238 |
| 50 | 155.4048 |
| 60 | 186.4857 |
| 70 | 217.5667 |
| 80 | 248.6476 |
| 90 | 279.7286 |
| 100 | 310.8095 |
| 150 | 466.2143 |
| 200 | 621.619 |
| 250 | 777.0238 |
| 300 | 932.4285 |
| 400 | 1243.238 |
| 500 | 1554.048 |
| 600 | 1864.857 |
| 700 | 2175.667 |
| 800 | 2486.476 |
| 900 | 2797.286 |
| 1000 | 3108.095 |
| 2000 | 6216.19 |
| 3000 | 9324.285 |
| 4000 | 12432.38 |
| 5000 | 15540.48 |
| 10000 | 31080.95 |
| 25000 | 77702.38 |
| 50000 | 155404.8 |
| 100000 | 310809.5 |
| 250000 | 777023.8 |
| 500000 | 1554048 |
| 1000000 | 3108095 |
What is the US Hundredweight?
The US hundredweight, also called the short hundredweight or cental, is a unit of mass used in North American commerce and agriculture for bulk commodities such as grain, livestock, and cattle feed.
Definition
The US hundredweight is defined as exactly 100 avoirdupois pounds:
Precisely, 1 US cwt = 100 lb = 45.359237 kg exactly. Twenty US hundredweights make one US (short) ton of 2000 lb.
Origin and History
The hundredweight has medieval English origins, where a "hundred" of weight varied by commodity and region. North American usage settled on a clean 100-pound unit—hence "short"—diverging from the British long hundredweight of 112 pounds.
Law and Notable Facts
In the United States the hundredweight is legally 100 lb and is standard in commodity pricing; agricultural products such as milk, hogs, and grain are still quoted per hundredweight (cwt). The abbreviation "cwt" uses the Roman numeral C for one hundred.
Real-World Examples and Conversions
Milk is often priced per hundredweight; for example, "$20 per cwt" means per 100 lb (≈45.4 kg). Twenty US hundredweights equal one short ton (907.18 kg). One US cwt is lighter than one UK cwt (≈50.80 kg).
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
How many slugs are in one US hundredweight?
One US hundredweight equals about 3.108095 slugs.
How do I convert US hundredweights to slugs?
Multiply the hundredweight value by 3.108095. For example, 4 cwt-us is about 12.4324 slugs.
What exactly is a slug?
A slug is the mass that accelerates at 1 foot per second squared when a force of one pound-force is applied, equal to roughly 14.594 kilograms.
Why convert hundredweights to slugs in engineering?
The slug keeps Newton's second law (F = ma) consistent in the foot–pound–second system, so masses given as customary weights are converted to slugs before dynamics calculations.
How many hundredweights make one slug?
About 0.3217405 hundredweights, the reciprocal of the factor.
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Complete US Hundredweights conversion table
| Unit | Result |
|---|---|
| Micrograms (mcg) | 45359240000 mcg |
| Milligrams (mg) | 45359240 mg |
| Grams (g) | 45359.24 g |
| Kilograms (kg) | 45.35924 kg |
| Metric Tonnes (mt) | 0.04535924 mt |
| Carats (ct) | 226796.2 ct |
| Ounces (oz) | 1600 oz |
| Pounds (lb) | 100 lb |
| Stones (st) | 7.142857 st |
| Tons (t) | 0.05 t |
| Long Tons (long-ton) | 0.04464286 long-ton |
| Troy Ounces (ozt) | 1458.333 ozt |
| Grains (gr) | 700000 gr |
| UK Hundredweights (cwt-uk) | 0.8928571 cwt-uk |
| Slugs (slug) | 3.108095 slug |