 # Relation Between Newton And Dyne

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 gm/s2

• Thus, we arrive at the final expression relating newton and dyne –1 newton = 105 dyne

Hope you understood the relation and conversion of newton and dyne units.

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