Oil flows through a horizontal Venturi tube whose inlet diameter is and throat diameter is

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

Oil

(\rho = 800\,\text{kg\,m}^{-3})

flows through a horizontal Venturi tube whose inlet diameter is

5\,\text{cm}

and throat diameter is

2.5\,\text{cm}

. A mercury manometer connected between these two points shows a level difference of

20\,\text{cm}

. Take the density of mercury as

13\,600\,\text{kg\,m}^{-3}

and

g = 9.8\,\text{m\,s}^{-2}

. What is the volume flow rate through the tube? (a)

8.9 \times 10^{-3}\,\text{m}^{3}\,\text{s}^{-1}

(b)

2.8 \times 10^{-3}\,\text{m}^{3}\,\text{s}^{-1}

(c)

4.0 \times 10^{-3}\,\text{m}^{3}\,\text{s}^{-1}

(d)

1.6 \times 10^{-2}\,\text{m}^{3}\,\text{s}^{-1}