Newtons to Nanonewtons: 1 N equals 1.00000e+9 nN. To convert newtons to nanonewtons, multiply by 1.00000e+9 (nN = N × 1,000,000,000). For example, 10 N = 1.00000e+10 nN.
How to Convert Newtons to Nanonewtons
To convert from newtons to nanonewtons, multiply the value by 1.00000e+9. The conversion is linear, meaning doubling the input doubles the output.
Conversion Formula
- Newtons to Nanonewtons:
nN = N × 1,000,000,000 - Nanonewtons to Newtons:
N = nN ÷ 1,000,000,000
Newtons to Nanonewtons Conversion Chart
| Newtons (N) | Nanonewtons (nN) |
|---|---|
| 0.1 | 100000000 |
| 0.25 | 250000000 |
| 0.5 | 500000000 |
| 1 | 1.00000e+9 |
| 2 | 2.00000e+9 |
| 3 | 3.00000e+9 |
| 5 | 5.00000e+9 |
| 10 | 1.00000e+10 |
| 20 | 2.00000e+10 |
| 25 | 2.50000e+10 |
| 50 | 5.00000e+10 |
| 100 | 1.00000e+11 |
| 250 | 2.50000e+11 |
| 1000 | 1.00000e+12 |
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 Nanonewton?
A millinewton equals one thousandth of a newton.
Common contexts: precision instruments, biomechanics.
Real-World Reference Points
| Item | Newtons (N) | Nanonewtons (nN) |
|---|---|---|
| Weight of an apple (≈100 g) | 1 | 1.000e+9 |
| Weight of 1 kg on Earth | 9.81 | 9.810e+9 |
How to Convert Newtons to Nanonewtons
To convert newtons to nanonewtons, multiply by 1,000,000,000 (10⁹). The SI prefix nano represents one-billionth, so one newton equals one billion nanonewtons. The conversion is exact and dimensionless — both units measure the same physical quantity (force) and differ only in scale.
Conversion Formula
- Newtons to Nanonewtons: nN = N × 10⁹
- Nanonewtons to Newtons: N = nN × 10⁻⁹
- Scientific notation: 1 N = 1 × 10⁹ nN = 1,000,000,000 nN
The factor is exact because both units are defined in terms of the same SI base units (kilogram, metre, second). No rounding or experimental uncertainty enters the conversion.
Common Conversions
| Newtons (N) | Nanonewtons (nN) | Scientific Notation |
|---|---|---|
| 0.000000001 | 1 | 1 nN |
| 0.00000001 | 10 | 1 × 10¹ nN |
| 0.0000001 | 100 | 1 × 10² nN |
| 0.000001 | 1,000 | 1 × 10³ nN |
| 0.00001 | 10,000 | 1 × 10⁴ nN |
| 0.0001 | 100,000 | 1 × 10⁵ nN |
| 0.001 | 1,000,000 | 1 × 10⁶ nN |
| 0.01 | 10,000,000 | 1 × 10⁷ nN |
| 0.1 | 100,000,000 | 1 × 10⁸ nN |
| 0.5 | 500,000,000 | 5 × 10⁸ nN |
| 1 | 1,000,000,000 | 1 × 10⁹ nN |
| 2.5 | 2,500,000,000 | 2.5 × 10⁹ nN |
| 5.3 | 5,300,000,000 | 5.3 × 10⁹ nN |
| 10 | 10,000,000,000 | 1 × 10¹⁰ nN |
Understanding the Units
What Is a Newton?
The newton (symbol: N) is the SI derived unit of force, defined as the force required to accelerate a mass of one kilogram at one metre per second squared: 1 N = 1 kg·m/s². The unit was adopted by the 9th General Conference on Weights and Measures in 1948 and named after Sir Isaac Newton. A 100-gram apple at Earth's surface exerts roughly 0.98 N of weight.
What Is a Nanonewton?
The nanonewton (symbol: nN) is the newton multiplied by the SI prefix nano, which represents 10⁻⁹ or one-billionth. One nanonewton equals exactly 0.000000001 newtons. It is the natural force unit for atomic-force microscopy, single-molecule biophysics, MEMS-device mechanics, and nano-tribology.
The SI Prefix Ladder Below the Newton
Each rung divides the previous by 1,000:
- 1 N = 10³ mN (millinewtons)
- 1 mN = 10³ µN (micronewtons)
- 1 µN = 10³ nN (nanonewtons)
- 1 nN = 10³ pN (piconewtons)
- 1 pN = 10³ fN (femtonewtons)
Real-World Forces from Newtons Down to Nanonewtons
Going from a human-scale newton down to a nano-scale nanonewton spans nine orders of magnitude. Some reference points along the way:
| Source of Force | Approximate Force | In Nanonewtons |
|---|---|---|
| Weight of a small apple | ~1 N | 1 × 10⁹ nN |
| Weight of a £1 coin | ~0.09 N | 9 × 10⁷ nN |
| Weight of a paperclip | ~0.01 N | 1 × 10⁷ nN |
| Weight of a single grain of rice | ~2 × 10⁻⁴ N | 2 × 10⁵ nN |
| Weight of a single grain of fine sand | ~5 × 10⁻⁷ N | 500 nN |
| AFM tapping-mode peak force | ~10⁻⁷ N | ~100 nN |
| AFM contact-mode imaging on cells | ~10⁻⁹ N | ~1 nN |
| Single-protein unfolding force | ~2 × 10⁻¹⁰ N | ~0.2 nN (200 pN) |
| DNA overstretching transition | ~6.5 × 10⁻¹¹ N | ~0.065 nN (65 pN) |
Nanonewtons in Nanotechnology and Biophysics
The nanonewton is the working unit of AFM, the primary imaging and force-measurement tool for nanotechnology. Cantilever spring constants of 0.01–100 N/m, combined with nanometre-scale deflection sensing, naturally produce force readings between 10 pN and 100 nN. The same instruments measure adhesion between nanoparticles, friction between atomically flat surfaces, and the mechanical properties of polymer thin films.
In biophysics, the upper end of the nN range overlaps with cell-mechanics measurements. Single living cells respond to forces of 1–100 nN, and traction-force microscopy quantifies how cells pull on their substrate at this scale. Below the nanonewton, optical and magnetic tweezers, plus very soft AFM cantilevers, extend the accessible range down to femtonewtons — the regime of thermal noise on a single molecule.
Related Force Converters
- Nanonewtons to Newtons — the reverse direction
- Newtons to Micronewtons — step down by 10⁶
- Newtons to Millinewtons — step down by 10³
- Newtons to Dynes — convert to CGS
- Nanonewtons to Micronewtons — adjacent rung on the SI ladder
Brief History of the Newton and the Nano Prefix
The newton was introduced in 1946 by the 9th General Conference on Weights and Measures and officially adopted in 1948 as the coherent SI unit of force. It replaced the kilogram-force and the CGS dyne in scientific contexts. The prefix nano, from the Greek nanos meaning "dwarf," was standardised in 1960. Together, the newton and its prefix system span more than thirty orders of magnitude — from the yoctonewton-scale forces between individual quantum particles to the yottanewton-scale forces involved in galaxy-scale gravity.