A garden hose $($diameter of $7$cm$)$ has a ow rate of $45$cm$3/$s$.$ The bottom of the hose is on the ground, while the end of the hose is held by a child, $1\mathrm{.}1$m above the ground. The end of the hose has a nozzle on it with a cross sectional area of $0\mathrm{.}00126$m$2.$ The pressure at the end of the hose is $3$times $105$ Pa$.$

a.  What is the pressure in the hose while it is on the ground?

$\mathrm{}$b$.$ Water has a viscosity of $1\mathrm{.}7$mPa $$ s $.$ Is the flow in the hose laminar or turbulent? What about through the nozzle?$\mathrm{}$

$\mathrm{}$c$.$ If we have a fluid with the same density as water, what must its viscosity be in order to have a turbulent ow throughout the whole system?