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Poundals to Nanonewtons Converter

Convert poundals to nanonewtons — 1 pdl ≈ 1.38255 × 10⁸ nN. Bidirectional FPS-absolute to nano-SI force converter with formula and instrumentation reference.

pdl

Nanonewtons

1,036,912,500

nN

7.5 pdl = 1,036,912,500 nN

nN = pdl × 138,255,000

Poundals to Nanonewtons: 1 pdl equals 138255000 nN. To convert poundals to nanonewtons, multiply by 138255000 (nN = pdl × 138,255,000). For example, 10 pdl = 1.38255e+9 nN.

How to Convert Poundals to Nanonewtons

To convert from poundals to nanonewtons, multiply the value by 138255000. The conversion is linear, meaning doubling the input doubles the output.

Conversion Formula

  • Poundals to Nanonewtons: nN = pdl × 138,255,000
  • Nanonewtons to Poundals: pdl = nN ÷ 138,255,000

Poundals to Nanonewtons Conversion Chart

Poundals (pdl)Nanonewtons (nN)
0.113825500
0.2534563750
0.569127500
1138255000
2276510000
3414765000
5691275000
101.38255e+9
202.76510e+9
253.45638e+9
506.91275e+9
1001.38255e+10
2503.45638e+10
10001.38255e+11

Understanding the Units

What is a Poundal?

A poundal equals approximately 0.138255 newtons — the force needed to accelerate one pound-mass by one foot per second squared.

Common contexts: absolute foot-pound-second system.

What is a Nanonewton?

A millinewton equals one thousandth of a newton.

Common contexts: precision instruments, biomechanics.

How to Convert Poundals to Nanonewtons

Multiply the poundal value by 1.38255 × 10⁸. The factor is 0.138254954376 N per pdl × 10⁹ nN per N. Both endpoints rest on defined constants, so the conversion is mathematically exact.

Conversion Formula

  • Poundals to Nanonewtons: nN = pdl × 1.38255 × 10⁸
  • Nanonewtons to Poundals: pdl = nN × 7.23301 × 10⁻⁹
  • Scientific notation: 1 pdl ≈ 1.38 × 10⁸ nN

Common Conversions

Poundals (pdl)Nanonewtons (nN)Real-World Anchor
7.23 × 10⁻⁹11 nN — single-molecule pull
7.23 × 10⁻⁶1,0001 µN — AFM cantilever
0.000001138138 nN — colloidal-probe touch
0.000113,82513.8 µN — sensitive sensor
0.001138,2550.14 mN — small spring
0.011.38 × 10⁶1.4 mN — paper-tension test
0.11.38 × 10⁷14 mN — light switch
11.38 × 10⁸1 pdl — small spring force
3.75.12 × 10⁸3.7 pdl — moderate textbook
101.38 × 10⁹10 pdl — hand-tool grip
32.1744.45 × 10⁹32.174 pdl = 1 lbf — pint glass
1001.38 × 10¹⁰100 pdl — bench load
5006.91 × 10¹⁰500 pdl — engineering test
1,0001.38 × 10¹¹1,000 pdl — large rig

Understanding the Units

What Is a Poundal?

The poundal (pdl) is the absolute FPS unit of force, defined by F = ma: the force that accelerates one pound of mass at one foot per second squared. Exactly 1 pdl = 0.138254954376 N. Introduced in 1879 to give imperial dynamics an F=ma-coherent force unit; largely supplanted by SI in modern practice.

What Is a Nanonewton?

The nanonewton (nN) is the SI derived unit of force at the nano scale (10⁻⁹). One nN equals one billionth of a newton — roughly the weight of one nanogram. The working unit of single-molecule biophysics, AFM, optical trapping, and surface-force apparatus measurements.

Extreme Cross-Scale Conversion

The pdl-to-nN gap spans nine orders of magnitude — from hand-held mechanical demonstrations to single-molecule measurements. The conversion almost never appears in direct working use; it shows up in instrument-traceability documentation, educational tables illustrating the force-scale ladder, and rare interdisciplinary references.

Traceability and Calibration Use

Modern force-traceability chains begin at primary mass standards (kgf or pound-force) and extend through dead-weight machines, build-up systems, and load-cell hierarchies down to research-grade nN sensors. The pdl-to-nN conversion appears in cross-system documentation that includes legacy FPS absolute references alongside modern nano-instrument calibration.

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Brief History

The poundal was introduced in 1879 by William Croft Marsh to provide an F=ma-coherent imperial force unit. The newton was adopted as the SI force unit in 1948, and the nano prefix was standardised in 1960. Nano-scale force instrumentation matured in the 1990s with optical tweezers and AFM, making nN a working unit in molecular biophysics — a world the poundal has otherwise never touched.

Related

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FAQ

How many nanonewtons are in one poundal?

One poundal equals exactly 138,254,954.376 nanonewtons (1.38255 × 10⁸ nN). The factor is 0.138254954376 N per pdl × 10⁹ nN per N.

What is the formula for converting poundals to nanonewtons?

Multiply by 1.38255 × 10⁸. So nN = pdl × 1.38255 × 10⁸. For example, 0.001 pdl × 1.38255 × 10⁸ ≈ 1.38 × 10⁵ nN — a sensitive single-cell traction force.

How do I convert nanonewtons back to poundals?

Divide by 1.38255 × 10⁸ (or multiply by 7.23301 × 10⁻⁹). For example, 10⁹ nN ÷ 1.38255 × 10⁸ ≈ 7.23 pdl — about 0.225 lbf.

Why does this conversion exist?

It spans the entire mechanical force ladder, from FPS absolute dynamics down to single-molecule biophysics. It appears mostly in instrument-traceability documents, educational scale-illustration tables, and rare cross-discipline references.

Is the conversion exact?

Yes. The international pound (0.45359237 kg exact), the foot (0.3048 m exact), and the SI nano prefix (10⁻⁹) are all defined exactly. The displayed decimal is rounded but the underlying ratio is mathematically exact.

What forces sit naturally in nN?

Single-molecule binding forces (10 pN–100 nN), AFM cantilever interactions, optical-trap measurements on DNA and proteins, surface-force apparatus readings. The working scale of modern single-molecule biophysics.

When does pdl-to-nN come up in practice?

Almost never in direct engineering. It appears in NIST and BIPM traceability documents that anchor force chains across many decades, and in educational scale tables illustrating the breadth of the mechanical force scale.

Why scientific notation?

A 1 pdl equals roughly 138 million nN. Decimal notation is impractical for nine orders of magnitude. Scientific notation (1.38 × 10⁸ nN) is the standard presentation for spanning the scale.

How many nanonewtons are in 1 poundal?

1 pdl equals 138255000 nN.

How do you convert poundals to nanonewtons?

Multiply the poundal value by 138255000. Formula: nN = pdl × 138,255,000.

How many nanonewtons are in 5 poundals?

5 pdl = 691275000 nN.

How do you convert nanonewtons back to poundals?

Use the inverse formula: pdl = nN ÷ 138,255,000. For example, 1 nN = 7.23301e-9 pdl.

What is the difference between Poundal and Nanonewton?

A poundal equals approximately 0.138255 newtons — the force needed to accelerate one pound-mass by one foot per second squared. A millinewton equals one thousandth of a newton.