Poundal (pdl) - Unit Information & Conversion

Symbol:pdl
Plural:poundals
Category:Force

🔄 Quick Convert Poundal

What is a Poundal?

The poundal is an imperial absolute unit of force equal to the force needed to accelerate one pound of mass at one foot per second squared (1 lb⋅ft/s²). Equal to 0.138255 newtons, it is rarely used today but appears in older engineering texts.

History of the Poundal

Introduced in 1879 as part of the foot-pound-second (FPS) absolute system to provide a consistent imperial force unit like the dyne in CGS. Largely obsolete, replaced by pound-force in practical applications and newtons in scientific contexts.

Quick Answer

What is a Poundal? A poundal (pdl) is an absolute imperial unit of force equal to 1 lb⋅ft/s². It represents the force to accelerate 1 pound of mass at 1 ft/s². One poundal = 0.138255 newtons = about 0.031 pounds-force. Historically used in physics calculations with FPS units, now largely obsolete. Appears in older engineering textbooks and historical scientific papers. Use our force converter to convert poundals to newtons, pounds-force, and other units instantly.

Quick Comparison Table

Poundals Newtons Pounds-force Context Convert Now
1 0.138 0.031 Minimal force pdl to N →
10 1.38 0.31 Light push pdl to N →
32.2 4.45 1 1 pound-force pdl to lbf →
100 13.8 3.1 Moderate force pdl to N →
322 44.5 10 Strong push pdl to lbf →
1,000 138 31 Heavy force pdl to N →

Definition

The poundal (pdl) is the force to accelerate 1 pound mass at 1 ft/s². It is an absolute unit in the FPS system.

Formula: F = ma where F is in poundals, m in pounds, a in ft/s²

Conversions:

  • 1 pdl = 0.138255 N (newtons)
  • 1 pdl = 0.031081 lbf (pound-force)
  • 1 pdl = 14.098 gf (gram-force)
  • 1 pdl = 0.014098 kgf (kilogram-force)
  • 1 pdl = 138,255 dynes
  • 32.174 pdl = 1 lbf

History

The poundal was introduced in 1879 by the British Association for the Advancement of Science as part of the foot-pound-second (FPS) absolute system of units. It was designed to provide a consistent force unit for physics calculations using imperial measurements, analogous to the dyne in the CGS system. The name "poundal" was created from "pound" plus the suffix "-al" to indicate it was an absolute unit rather than a gravitational unit. Despite official endorsement, the poundal never achieved widespread practical use because engineers preferred the more intuitive pound-force. By the mid-20th century, it had become largely obsolete, appearing primarily in older physics textbooks and historical engineering documents.

Common Uses

Historical Physics Textbooks: Pre-1960s physics education using FPS units.

Engineering History: Older technical papers and engineering calculations.

Academic Study: Understanding historical unit systems and conversions.

Specialized Applications: Rare modern use in contexts maintaining FPS absolute units.

Real-World Examples

Comparison to Familiar Forces:

  • 1 poundal ≈ force of gentle breath
  • 10 poundals ≈ light finger push
  • 32.2 poundals = 1 pound-force (weight of 1 lb mass)
  • 100 poundals ≈ 3.1 pounds-force
  • 322 poundals = 10 pounds-force
  • 686 poundals ≈ weight of 70 kg person

Why Poundals Are Confusing: The poundal creates confusion because:

  • 1 pound of mass weighs 32.2 poundals (not 1 poundal)
  • Unlike pound-force where 1 lb mass = 1 lbf on Earth
  • The conversion factor (32.2) is Earth's gravity in ft/s²

Historical Context: In older physics problems:

  • "Apply 100 poundals" meant F = ma calculation
  • "100 pounds of force" meant weight/gravitational force
  • Engineers preferred pound-force; physicists sometimes used poundals

Why It Failed:

  • Non-intuitive: 1 lb mass doesn't weigh 1 pdl
  • Pound-force more practical for engineering
  • Metric system (newton) became international standard
  • Created more confusion than it solved

Poundal Conversion Formulas

To Newton:

1 pdl = 0.138255 N
Example: 5 poundals = 0.691275 newtons

To Millinewton:

1 pdl = 138.254954 mN
Example: 5 poundals = 691.274772 millinewtons

To Kilonewton:

1 pdl = 0.000138 kN
Example: 5 poundals = 0.000691 kilonewtons

To Meganewton:

1 pdl = 1.3825e-7 MN
Example: 5 poundals = 6.9127e-7 meganewtons

To Dyne:

1 pdl = 13825.495438 dyn
Example: 5 poundals = 69127.477188 dynes

To Pound-force:

1 pdl = 0.031081 lbf
Example: 5 poundals = 0.155405 pounds-force

To Kilogram-force:

1 pdl = 0.014098 kgf
Example: 5 poundals = 0.07049 kilograms-force

To Gram-force:

1 pdl = 14.098082 gf
Example: 5 poundals = 70.490409 grams-force

To Metric Ton-force:

1 pdl = 0.000014 tf
Example: 5 poundals = 0.00007 metric tons-force

To US Ton-force:

1 pdl = 0.000016 tonf
Example: 5 poundals = 0.000078 US tons-force

To UK Ton-force:

1 pdl = 0.000014 LTf
Example: 5 poundals = 0.000069 UK tons-force

To Ounce-force:

1 pdl = 0.497295 ozf
Example: 5 poundals = 2.486476 ounces-force

To Kip:

1 pdl = 0.000031 kip
Example: 5 poundals = 0.000155 kips

Frequently Asked Questions

Formula: N = pdl × 0.138255 Examples:

  • 1 pdl = 0.138 N
  • 10 pdl = 1.38 N
  • 32.2 pdl = 4.45 N (1 lbf)
  • 100 pdl = 13.8 N Quick approximation: Multiply by 0.14 for rough conversion. Poundals to Newtons converter →

Convert Poundal

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