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Oxana [17]
4 years ago
11

In the SI system of units, dynamic viscosity of water μ at temperature T (K) can be computed from μ=A10B/(T-C), where A=2.4×10-5

, B=250 K and C=140 K. (6 points) (a) Determine the dimensions of A. (b) Determine the kinematic viscosity of water at 20°C. Express your results in both SI and BG units.
Physics
1 answer:
Citrus2011 [14]4 years ago
8 0

Answer:

0.00000103149529075 m²/s

0.0103149529075 stokes

Explanation:

A = 2.4\times 10^-5

B = 250 K

C = 140 K

T = 20°C

\rho = Density of water = 998 kg/m³

Viscosity is given by

\mu=A\times 10^{\dfrac{B}{T-C}}\\\Rightarrow \mu=2.4\times 10^{-5}\times 10^{\dfrac{250}{273.15+20-140}}\\\Rightarrow \mu=0.00102943230017\ Pas

Kinematic viscosity is given by

\nu=\dfrac{\mu}{\rho}\\\Rightarrow \nu=\dfrac{0.00102943230017}{998}\\\Rightarrow \nu=0.00000103149529075\ m^2/s

The kinematic viscosity is 0.00000103149529075 m²/s

In BG units 0.00000103149529075\times 10^4=0.0103149529075\ stokes

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