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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