Fluid Mechanics Viscosity Question 307
Question: A spherical ball of iron of radius 2 mm is falling through a column of glycerine. If densities of glycerine and iron are respectively $ 1.3\times 10^{3}kg/m^{3} $ and$ 8\times 10^{3}kg/m^{3} $ .$ \eta $ for glycerine $ =0.83N{{m}^{-2}}\sec $ , then the terminal velocity is
Options:
A) 0.7 m/s
B) 0.07 m/s
C) 0.007 m/s
D) 0.0007 m/s
Show Answer
Answer:
Correct Answer: B
Solution:
[b] Terminal velocity, $ v_{0}=\frac{2,r^{2}(\rho -{\rho_{0}})g}{9\eta } $ $ =\frac{2\times {{(2\times {{10}^{-3}})}^{2}}\times (8-1.3)\times 10^{3}\times 9.8}{9\times 0.83} $ $ =0.07m{{s}^{-1}} $
BETA
