viscosity

Question

Viscosity coefficient η SI unit is:

RankGuru · Accepted Answer

According to Newton's law of viscosity, shear stress $	au = \eta \frac{dv}{dx}$.
$\eta = \frac{	ext{Stress}}{	ext{Velocity gradient}} = \frac{N/m^2}{m/s \cdot m^{-1}} = \frac{N/m^2}{s^{-1}} = N \cdot s / m^2 = Pa \cdot s$. 
- **SI Unit**: Pascal-second ($Pa \cdot s$) or Decapoise.
- **Dimension**: $[M L^{-1} T^{-1}]$.
- **CGS Unit**: Poise ($1 Pa \cdot s = 10 	ext{ poise}$).

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