Force Unit Conversion: Newton to Dyne

Vocabulary and formulas related to the conversion of force units from the SI system (Newtons) to the CGS system (dynes) using dimensional analysis.

Newton

The SI unit of force.

Dyne

The CGS unit of force.

Dimensional formula of force

$[M^1 L^1 T^{-2}]$ where $a=1$, $b=1$, and $c=-2$.

Conversion of 1 Newton to dyne

$1\,\text{Newton} = 10^5\,\text{dyne}$.

SI units for force conversion

In the SI system, mass $M_1 = 1\,\text{kg}$, length $L_1 = 1\,\text{m}$, and time $T_1 = 1\,\text{s}$.

CGS units for force conversion

In the CGS system, mass $M_2 = 1\,\text{gram}$, length $L_2 = 1\,\text{cm}$, and time $T_2 = 1\,\text{s}$.

General unit conversion formula

The formula $n_2 = n_1 \left[\frac{M_1}{M_2}\right]^a \left[\frac{L_1}{L_2}\right]^b \left[\frac{T_1}{T_2}\right]^c$ used to find the numerical value in a new system.