Water flows through a horizontal pipe system with varying cross$-$sectional areas. The pipe has two

sections:

Section $1$ has a diameter of $0\mathrm{.}3$ m and a flow velocity of $2\frac{m}{s}.$

Section $2$ has a diameter of $0\mathrm{.}15$ m $.$

The flow is steady and incompressible, meaning the density of water remains constant throughout the

system.

a$.$ Determine the flow velocity at Section $2.$

b$.$ Calculate the volumetric flow rate through the pipe.

c$.$ If the density of water is $1000k\frac{g}{m^3},$ calculate the mass flow rate in the system.