How do you convert Newton to Dyne?

Multiply the value in Newton by the conversion factor 99999.99999999999 to obtain the result in Dyne.

Convert Newton to Dyne (N to dyn)

Reference ID: EC-FORC-NDY | EngConverter Calculation Guide

Convert From (Newton):

Result To (Dyne):

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In fundamental physics and process engineering, force measurement spans multiple systems of units. The Newton (N) is the coherent derived unit of force within the International System of Units (SI), established under ISO 80000-1. Defined by Newton's second law of motion ($F = m \cdot a$), one Newton represents the force required to accelerate a one-kilogram mass at a rate of one meter per second squared ($1 \text{ N} = 1 \text{ kg}\cdot\text{m}/\text{s}^2$).

Conversely, the Dyne (dyn) originates from the historic Centimetre-Gram-Second (CGS) system, formalised by the British Association for the Advancement of Science in 1873. One dyne is defined as the force necessary to accelerate a mass of one gram at a rate of one centimetre per second squared ($1 \text{ dyn} = 1 \text{ g}\cdot\text{cm}/\text{s}^2$). Because both units strictly measure force without gravitational dependency, their mathematical equivalence is exact and invariant:

$1 \text{ N} = 10^5 \text{ dyn} = 100,000 \text{ dyn}$

Engineering Applications & Technical Considerations

While the modern process industry standardises on SI units, conversion between Newtons and Dynes remains essential across several technical domains:

Surface Tension & Interfacial Phenomena: Interfacial tension in liquid-liquid extraction and wetting dynamics is historically cataloged in dyne per centimetre ($\text{dyn}/\text{cm}$). In SI units, this is expressed as millinewtons per metre ($\text{mN}/\text{m}$), where $1 \text{ dyn}/\text{cm} = 1 \text{ mN}/\text{m}$.
Microfluidics & Thin-Film Tribology: Nanometer-scale actuators, micro-electromechanical systems (MEMS), and boundary lubrication studies often yield forces in micro-Newtons ($\mu\text{N}$) or dynes, where $1 \text{ dyn} = 10 \mu\text{N}$.
Legacy Rheometer & Viscometer Calibration: Senior process assets and legacy laboratory instrumentation frequently output torque and shear force in CGS units, requiring real-time scale conversion for integration into modern Programmable Logic Controllers (PLCs) or Distributed Control Systems (DCS).

Engineering Pitfalls to Avoid:

Scale Magnitude Discrepancies: A factor of $10^5$ is substantial. Converting large structural loads (e.g., kilonewtons, $\text{kN}$) to dynes can result in numerical overflow if legacy 16-bit integers are used in PLC logic routines (e.g., $1 \text{ kN} = 10^8 \text{ dyn}$).
Confusion Between Dynamic Force and Mass Equivalents: Engineers must avoid confusing the dyne (an absolute force unit) with gram-force ($\text{g}_f$), which incorporates standard acceleration due to gravity ($1 \text{ g}_f \approx 980.665 \text{ dyn}$).
Lineic Force vs. Total Force: When reading process instrumentation manuals, confirm whether the output is absolute force ($\text{dyn}$ or $\text{N}$) or force per unit length ($\text{dyn}/\text{cm}$ or $\text{N}/\text{m}$). Misinterpreting interfacial tension as total force leads to major errors in equipment sizing for separation vessels.

Newton to Dyne Conversion Reference Table

Newton (N)	Dyne (dyn)
0.1	10000
0.5	50000
1.0	100000
2.0	200000
5.0	500000
10.0	1000000
20.0	2.0000e+06
50.0	5.0000e+06
100.0	1.0000e+07
500.0	5.0000e+07
1000.0	1.0000e+08

To convert a known force of 10 Newtons (N) into Dynes (dyn), apply the conversion factor $1 \text{ N} = 100,000 \text{ dyn}$:

Step 1: Identify the standard conversion formula:

$$ F_{\text{dyn}} = F_{\text{N}} \times 10^5 $$

Step 2: Substitute the known value ($10 \text{ N}$) into the equation:

$$ F_{\text{dyn}} = 10 \text{ N} \times 100,000 \frac{\text{dyn}}{\text{N}} $$$$ F_{\text{dyn}} = 1,000,000 \text{ dyn} = 1.0 \times 10^6 \text{ dyn} $$

Result: A force of 10 Newtons is exactly equivalent to 1,000,000 Dynes.

The CGS unit $\text{dyn}/\text{cm}$ yields conveniently sized integer values for common industrial liquids (e.g., pure water at 20°C is $\approx 72.8 \text{ dyn}/\text{cm}$). Because $1 \text{ dyn}/\text{cm}$ is numerically identical to $1 \text{ mN}/\text{m}$, many physical chemistry databases and process legacy systems maintain $\text{dyn}/\text{cm}$ to avoid digit conversion errors while remaining easily interpretable in SI terms.

Due to the $10^5$ scaling factor, standard single-precision floating-point numbers (IEEE 754 float32) can lose precision when representing large force values alongside sub-dyne variations. It is best practice to perform conversion calculations in double-precision (float64) within DCS/PLC block routines or store values using scientific notation before displaying them on HMI screens.

"On fait la science avec des faits, comme on fait une maison avec des pierres ; mais une accumulation de faits n'est pas plus une science qu'un tas de pierres n'est une maison."
"Science is built up of facts, as a house is built of stones; but an accumulation of facts is no more a science than a heap of stones is a house."
— Henri Poincaré (French Mathematician, Theoretical Physicist & Mining Engineer)