Question

The CGS unit for measuring the viscosity of a liquid is the poise (P): 1P=1g/(scm)1 \mathrm{P}=1 \mathrm{g} /(\mathrm{s} \cdot \mathrm{cm}). The SI unit for viscosity is the kg/(sm)\mathrm{kg} /(\mathrm{s} \cdot \mathrm{m}). The viscosity of water at 0C0^{\circ} \mathrm{C} is 1.78×103kg/(sm)1.78 \times 10^{-3} \mathrm{kg} /(\mathrm{s} \cdot \mathrm{m}). Express this viscosity in poise .

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We need to express the viscosity of water:

μ=1.78103kgsm(1)\tag{1} \mu=1.78\cdot10^{-3}\,\frac{\text{kg}}{\text{s}\cdot\text{m}}

from SI units into CGS units, when we know:

1P=1gscm(2)\tag{2} 1\,\text{P}=1\,\frac{\text{g}}{\text{s}\cdot \text{cm}}

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