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Chapter 1: Problem 60

The kinematic viscosity and specific gravity of a liquid are \(3.5 \times 10^{-4} \mathrm{m}^{2} / \mathrm{s}\) and \(0.79,\) respectively. What is the dynamic viscosity of the liquid in SI units?

Short Answer

Expert verified
The dynamic viscosity of the liquid is \(0.277 kg/m.s\)

Step by step solution

01

Calculate the Fluid Density

The fluid density can be calculated by multiplying the specific gravity of the fluid by the density of water, which is 1000 kg/m³. Hence the fluid density \(ρ = G * ρ_{water}\) = 0.79 * 1000 = 790 kg/m³.
02

Calculate the Dynamic Viscosity

The dynamic viscosity can now be calculated using the kinematic viscosity and fluid density. We use the rearranged formula \(\mu = \nu * ρ\), substituting the given values into the formula gives us \(\mu = 3.5 × 10^{-4} * 790 = 0.277 kg/m.s\)

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