First slide

Viscosity

Question

An air bubble of radius 5mm rises through a vat of syrup at a steady speed of 2mm/s. If the syrup has a density of $1.4 x 10^{3}$ kg/ $m^{3}$ , What is its viscosity ?

Moderate

A

1.15 kg/m/s
B

15 kg/m/s
C

2.25 kg/m/s
D

38.1 kg/m/s

Solution

$t e r m i n a l v e l o c i t y v = \frac{2 r^{2} d_{l} g}{9 η} h e r e d e n s i t y o f a i r i s n e g l e c t e d η = \frac{2 r^{2} d_{l} g}{9 v} s u b s t i t u t i n g t h e v a l u e s w e g e t η = 38.1 k g / m / s$

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