Newtons to Dynes: 1 N equals 100000 dyn. To convert newtons to dynes, multiply by 100000 (dyn = N × 100000). For example, 10 N = 1000000 dyn.
How to Convert Newtons to Dynes
To convert from newtons to dynes, multiply the value by 100000. The conversion is linear, meaning doubling the input doubles the output.
Conversion Formula
- Newtons to Dynes:
dyn = N × 100000 - Dynes to Newtons:
N = dyn ÷ 100000
Newtons to Dynes Conversion Chart
| Newtons (N) | Dynes (dyn) |
|---|---|
| 0.1 | 10000 |
| 0.25 | 25000 |
| 0.5 | 50000 |
| 1 | 100000 |
| 2 | 200000 |
| 3 | 300000 |
| 5 | 500000 |
| 10 | 1000000 |
| 20 | 2000000 |
| 25 | 2500000 |
| 50 | 5000000 |
| 100 | 10000000 |
| 250 | 25000000 |
| 1000 | 100000000 |
Understanding the Units
What is a Newton?
The newton is the SI derived unit of force, equal to the force needed to accelerate one kilogram by one meter per second squared (1 N = 1 kg·m/s²).
Named after Sir Isaac Newton (1643–1727), whose three laws of motion underpin classical mechanics.
Common contexts: mechanics, engineering.
What is a Dyne?
A dyne equals exactly 10⁻⁵ newtons — the CGS unit of force, defined as the force needed to accelerate one gram by one centimeter per second squared.
Common contexts: surface tension, older physics texts.
Real-World Reference Points
| Item | Newtons (N) | Dynes (dyn) |
|---|---|---|
| Weight of an apple (≈100 g) | 1 | 100000 |
| Weight of 1 kg on Earth | 9.81 | 981000 |
How to Convert Newtons to Dynes
Multiply the newton value by 100,000. The factor is exact: one newton equals exactly 10⁵ dynes, because the SI newton is built from kilograms (10³ g) and metres (10² cm), while the dyne uses grams and centimetres. The dimensional algebra (10³ × 10² = 10⁵) yields the conversion in one step. No measurement, no rounding, just an exponent shift.
Conversion Formula
- Newtons to Dynes: dyn = N × 100,000
- Dynes to Newtons: N = dyn ÷ 100,000 = dyn × 10⁻⁵
- Dimensional check: 1 N = 1 kg·m/s² = 1,000 g × 100 cm/s² = 100,000 g·cm/s² = 10⁵ dyn
Common Conversions
| Newtons (N) | Dynes (dyn) | Scientific Notation |
|---|---|---|
| 0.00005 | 5 | 5 × 10⁰ dyn |
| 0.0002 | 20 | 2 × 10¹ dyn |
| 0.0007 | 70 | 7 × 10¹ dyn |
| 0.003 | 300 | 3 × 10² dyn |
| 0.012 | 1,200 | 1.2 × 10³ dyn |
| 0.045 | 4,500 | 4.5 × 10³ dyn |
| 0.15 | 15,000 | 1.5 × 10⁴ dyn |
| 0.37 | 37,000 | 3.7 × 10⁴ dyn |
| 0.8 | 80,000 | 8 × 10⁴ dyn |
| 2.5 | 250,000 | 2.5 × 10⁵ dyn |
| 6.3 | 630,000 | 6.3 × 10⁵ dyn |
| 15 | 1,500,000 | 1.5 × 10⁶ dyn |
| 47 | 4,700,000 | 4.7 × 10⁶ dyn |
| 120 | 12,000,000 | 1.2 × 10⁷ dyn |
Understanding the Units
What Is a Newton?
The newton (symbol: N) is the SI derived unit of force, defined as the force needed to accelerate a one-kilogram mass at one metre per second squared (1 N = 1 kg·m/s²). The 9th General Conference on Weights and Measures adopted the newton in 1948 as the coherent force unit within the metre-kilogram-second system, eventually rolled into the broader SI in 1960. The unit honours Sir Isaac Newton, whose second law of motion is the formula that defines it.
What Is a Dyne?
The dyne (symbol: dyn) is the unit of force in the centimetre-gram-second (CGS) system. By definition, 1 dyn accelerates a 1-gram mass at 1 cm/s², which works out to exactly 10⁻⁵ newtons. The name was coined in 1873 by the British Association for the Advancement of Science from the Greek dynamis ("force, power"). For most of the late nineteenth and early twentieth centuries, the dyne was the standard force unit in physics and chemistry, especially in molecular and surface-physics contexts where its small magnitude matched the phenomena being studied.
The CGS-to-SI Bridge
The CGS system used cm, g, and s as base units; SI uses m, kg, and s. The conversion factors between corresponding units are pure powers of ten:
- 1 metre = 100 cm = 10² cm
- 1 kilogram = 1,000 g = 10³ g
- 1 newton = 10⁵ dynes (force)
- 1 joule = 10⁷ ergs (energy)
- 1 pascal = 10 baryes (pressure)
Because all factors are decimal, the conversion is just an exponent count — no irrational constants ever enter.
Real-World Force References (Dyne Scale)
The dyne is the natural unit of small forces. Some reference points for getting a feel for the magnitude:
| Force Source | Approximate Force (dyn) | Newtons |
|---|---|---|
| Single house dust mite, weight | ~0.02 dyn | ~2 × 10⁻⁷ N |
| Eyelash weight | ~0.07 dyn | ~7 × 10⁻⁷ N |
| Grain of fine sand, weight | ~10 dyn | ~1 × 10⁻⁴ N |
| Common housefly weight | ~12 dyn | ~1.2 × 10⁻⁴ N |
| Postage stamp, weight | ~50 dyn | ~5 × 10⁻⁴ N |
| Water surface tension, 1 cm contact | ~72 dyn | ~7.2 × 10⁻⁴ N |
| Single grape, weight | ~5,000 dyn | ~0.05 N |
| AA battery weight | ~23,000 dyn | ~0.23 N |
| Small apple, weight | ~100,000 dyn | ~1 N |
Dynes in Surface Science and Biology
Surface tension is the textbook habitat of the dyne. Water at 20 °C exerts a surface tension of about 72.8 dyn/cm; ethanol drops to roughly 22 dyn/cm; soapy water lies near 25 dyn/cm. These numbers explain everyday phenomena — why water beads on a freshly waxed car but soaks into a paper towel, why a needle can float on still water, why soap bubbles can form at all. In SI units the same values become 72.8 × 10⁻³ N/m, which is technically correct but feels artificially small for benchtop measurements.
In cell biology and biophysics, individual molecular motors generate forces in the piconewton range (10⁻¹² N), which translates to a few times 10⁻⁷ dyn. Optical tweezers and atomic-force microscopes routinely report results in either unit, with older instruments and older publications still defaulting to dynes. In the polymer-film industry, surface energy is measured by dyne pens — a graded set of liquid markers — and any film below about 38 dyn/cm will fail to bond reliably with most printing inks.
Related Force Converters
- Dynes to Newtons — the reverse direction
- Dynes to Millinewtons — closer-scale SI counterpart
- Dynes to Micronewtons — finer SI resolution (1 dyn = 10 µN)
- Dynes to Grams-force — CGS to gravitational metric
- Dynes to Pound-force — CGS to imperial
Brief History of the Dyne
The CGS system grew out of a British Association for the Advancement of Science committee in 1873 charged with proposing coherent electrical and mechanical units. The dyne, the erg (energy), and the gauss (magnetic flux density) all date from this period. Maxwell and Kelvin both lobbied for the CGS scheme, which dominated theoretical physics for two generations — most of the equations of nineteenth-century electrodynamics and statistical mechanics were written in CGS-Gaussian form.
By the early twentieth century, the engineering world had drifted toward the metre-kilogram-second (MKS) system, and the case for unifying scientific and engineering practice grew stronger. The 1948 General Conference on Weights and Measures introduced the newton, and the 1960 conference formally launched the SI system, leaving the dyne on the slowly receding tide of CGS. It survives today mainly in surface physics, theoretical astrophysics, and certain industrial surface-treatment standards — and on this page, as a quick conversion at the boundary of two unit systems.