The Newton and Dyne are the units representing force. A Newton is a derived unit for force followed under the International System of Units (SI Units). A dyne is also the derived unit of force followed under Centimeter-Gram-Second (CGS) units system. The relation between newton and dyne is crucial in solving problems.
Newton And Dyne
The units for force Newton and Dyne relation can be mathematically expressed as-
| 1 newton = 105 dyne |
| 1 dyne = 10-5 newton |
In order to understand the relation. It is important to know the terms individually.
| Definition | Symbol | Formula | Fundamental unit | |
| 1 newton | The force necessary to course an acceleration of 1 m/s2 in an object of mass 1 kg | N | 1N=1kg×1m/s2 | N=kg.m/s2 |
| 1 dyne | The force necessary to course an acceleration of 1 cm/s2 in an object of mass 1 gram | Dyn | 1dyn=1g×1cm/s2 | dyn=g.cm/s2 |
Relation between newton and dyne derivation
We know that Both are units of force in two different systems. Thus we can start with a definition-
- One newton is the force necessary to course an acceleration of 1 m/s2 in an object of mass 1 kg. Mathematically written as-
1N=1kg×1m/s2
⇒ 1000 g ×100cm/s2
⇒1000×100×g×m/s2
⇒105 g cm/s2
- Thus, we arrive at the final expression relating newton and dyne –1 newton = 105 dyne