First slide

Fluid dynamics

Question

An incompressible liquid travels as shown in the figure. The speed of the fluid in the lower branch will be

Moderate

A

$1 {ms}^{- 1}$
B

$1.5 {ms}^{- 1}$
C

$2.25 {ms}^{- 1}$
D

$3 {ms}^{- 1}$

Solution

$0.18 v + 0.12 \times 1.5 = 0.12 \times 3$
$or 0.18 v = 0.12 \times 1.5$
$or v = \frac{0.12 \times 15}{0.18} {ms}^{- 1} = 1 {ms}^{- 1}$

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