First slide

Viscosity

Question

A force of 3.14 N is required to drag a sphere of radius 4 cm with a speed of 5 m/s in a medium in gravity free space. The coefficient of viscosity of the medium is

Moderate

A

$8.3 \times 10^{- 5} poise$
B

$4.3 \times 10^{- 5} poise$
C

$7.4 \times 10^{- 5} poise$
D

$2.3 \times 10^{- 5} poise$

Solution

$F = 6 πηrv$
$η = \frac{F}{6 πrv} = \frac{3.14}{(6) (3.14) (4) (5 \times 10^{2})} = 8.3 \times 10^{- 5} poise$

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