A ventilation duct for an auditorium has a rectangular cross-section

PHYSICS · Multi-part · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

A ventilation duct for an auditorium has a rectangular cross-section. In one part of the duct the cross-sectional dimensions are

60\,\text{cm}\times40\,\text{cm}

; farther along the duct it is

30\,\text{cm}\times h\,\text{cm}

. Air flows steadily through the duct at

12\,\text{m\,s}^{-1}

in the larger section and at

32\,\text{m\,s}^{-1}

in the smaller section. (i) Calculate the value of

h

. (ii) Find the volume of air (in

\text{m}^3

) delivered by the smaller section in

10\,\text{s}