Grams-force to Dynes: 1 gf equals 980.665 dyn. To convert grams-force to dynes, multiply by 980.665 (dyn = gf × 980.665). For example, 10 gf = 9806.65 dyn.
How to Convert Grams-force to Dynes
To convert from grams-force to dynes, multiply the value by 980.665. The conversion is linear, meaning doubling the input doubles the output.
Conversion Formula
- Grams-force to Dynes:
dyn = gf × 980.665 - Dynes to Grams-force:
gf = dyn ÷ 980.665
Grams-force to Dynes Conversion Chart
| Grams-force (gf) | Dynes (dyn) |
|---|---|
| 0.1 | 98.0665 |
| 0.25 | 245.16625 |
| 0.5 | 490.3325 |
| 1 | 980.665 |
| 2 | 1961.33 |
| 3 | 2941.995 |
| 5 | 4903.325 |
| 10 | 9806.65 |
| 20 | 19613.3 |
| 25 | 24516.625 |
| 50 | 49033.25 |
| 100 | 98066.5 |
| 250 | 245166.25 |
| 1000 | 980665 |
Understanding the Units
What is a Grams-force?
A kilogram-force equals exactly 9.80665 newtons — the gravitational force on a one-kilogram mass at standard gravity.
Common contexts: legacy engineering, tire pressure (kgf/cm²).
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.
How to Convert Grams-force to Dynes
To convert grams-force to dynes, multiply by 980.665. The factor is exact: it comes directly from standard gravity (9.80665 m/s²) expressed in CGS units (cm/s²). Both units measure the same physical quantity — force — and differ only in the unit system used to derive them.
Conversion Formula
- Grams-force to Dynes: dyn = gf × 980.665
- Dynes to Grams-force: gf = dyn ÷ 980.665
- Scientific notation: 1 gf = 9.80665 × 10² dyn
Because the conversion is anchored to the defined value of standard gravity (gn = 9.80665 m/s², set by the 3rd CGPM in 1901), the factor is exact rather than experimental. No measurement uncertainty enters the conversion.
Common Conversions
| Grams-force (gf) | Dynes (dyn) | Real-World Anchor |
|---|---|---|
| 0.5 | 490.33 | Half a paperclip |
| 1 | 980.67 | Standard paperclip |
| 2.5 | 2,451.66 | US penny |
| 3.7 | 3,628.46 | Sheet of A4 paper |
| 5 | 4,903.33 | US nickel |
| 8.2 | 8,041.45 | AAA battery |
| 15 | 14,709.98 | Sewing thimble |
| 23 | 22,555.30 | Three AAA batteries |
| 50 | 49,033.25 | Golf tee |
| 72.5 | 71,098.21 | Tennis ball (light) |
| 100 | 98,066.50 | Small lemon |
| 250 | 245,166.25 | Stick of butter |
| 500 | 490,332.50 | Hardcover novel |
| 1,000 | 980,665.00 | Litre of water |
Understanding the Units
What Is a Gram-force?
The gram-force (symbol: gf or gf-w) is a non-SI metric unit of force equal to the weight exerted by one gram of mass under standard Earth gravity. By definition, 1 gf = 9.80665 × 10⁻³ N = 980.665 dyn. The unit predates the formal adoption of the newton and persists in laboratory weighing, textile tension testing, and clinical instrumentation where the relationship between mass on a balance and force on a scale is intuitive.
What Is a Dyne?
The dyne (symbol: dyn) is the CGS unit of force, defined as the force required to accelerate a mass of one gram at one centimetre per second squared: 1 dyn = 1 g·cm/s² = 10⁻⁵ N. The unit was adopted as part of the centimetre-gram-second system in the late 19th century and named from the Greek dynamis ("power"). Although the SI newton has largely replaced it, the dyne remains common in surface science.
CGS vs SI: Two Coherent Systems
The dyne and the gram-force come from two distinct unit traditions. The dyne belongs to the CGS (centimetre-gram-second) system, while the newton belongs to SI (metre-kilogram-second). The gram-force bridges them by tying a gram-mass to standard gravity. Conversion summary:
- 1 N = 100,000 dyn = 10⁵ dyn
- 1 gf = 980.665 dyn
- 1 kgf = 980,665 dyn
- 1 dyn = 1.019716 × 10⁻³ gf
Grams-force and Dynes in Textile and Surface-Tension Work
Textile engineers measure yarn tension in grams-force (gf) because the values map naturally to small thread weights. A typical sewing thread tension on an industrial machine sits between 20 and 80 gf; weaving warp tension may climb to several hundred gf per end. Converting to dynes gives a CGS-friendly number for cross-disciplinary lab reports — 50 gf yarn tension equals 49,033 dyn.
Surface-tension measurements traditionally report results in dyn/cm. Water at 20 °C has a surface tension of about 72.8 dyn/cm; ethanol about 22.3 dyn/cm. A Du Noüy ring tensiometer pulls a ring through the liquid interface and records the maximum force, often in gram-force, which is then converted to dyn/cm using the ring geometry. Analytical balance readings sometimes still appear in gf in older lab manuals, especially in materials science and pharmaceutical formulation.
Related Force Converters
- Dynes to Newtons — CGS unit to SI
- Grams-force to Newtons — gf in SI terms
- Grams-force to Millinewtons — finer SI scale
- Grams-force to Kilograms-force — step up by 10³
- Grams-force to Ounces-force — imperial equivalent
Brief History of the Dyne and Gram-force
The dyne was formalised in 1873 when a British Association for the Advancement of Science committee, including James Clerk Maxwell and William Thomson (Lord Kelvin), proposed the CGS system as a coherent set of mechanical units. The name was chosen by the committee from Greek roots. For decades the dyne and erg were the standard mechanical units in physics literature.
The gram-force emerged informally during the same era as a convenient way to read a balance directly as a force value. It was widely used in physiology, pharmacology, and engineering until the General Conference on Weights and Measures formally adopted the newton in 1948. Standard gravity itself was fixed at 9.80665 m/s² in 1901 to make gravitational-force units unambiguous, locking the gf-to-dyn conversion at exactly 980.665.