Question

Problem: A liquid at 20 0C has a density of 798.4kg/m3 and a kinematic viscosity of 2.3×10-6m2/s. Determine its (i) specific weight and (ii) absolute viscosity.

Answer 1

Question #53009, Physics / Mechanics | Kinematics | Dynamics |

Problem: A liquid at $20{}^{\circ}\mathrm{C}$ has a density of $798.4\mathrm{kg} / \mathrm{m}^3$ and a kinematic viscosity of $2.3\cdot 10^{-6}\mathrm{m}^2 /\mathrm{s}$. Determine its (i) specific weight and (ii) absolute viscosity.

Answer the question:

(1) Specific weight:

$$\gamma = \rho \cdot \mathbf{g},$$

where $\rho$ – density, $g = 9,8\mathrm{H / kg}$ – acceleration of gravity,

$$\gamma = 798,4\mathrm{kg / m^3} \cdot 9,8\mathrm{H / kg} = 7824,32\mathrm{kg / m^3}.$$

(2) Absolute viscosity:

$$\eta = \mathbf{v} \cdot \boldsymbol{\rho},$$

where $\mathbf{v}$ – kinematic viscosity,

$$\eta = 2.3 \cdot 10^{-6} \mathrm{m^2/s} \cdot 798,4\mathrm{kg / m^3} = 2075,84\mathrm{m^2/s}.$$

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