Consider the model house $($building height is less than one ft$.)$ shown in the figure below. The drainpipe in the figure is only $2$ mm in diameter in the model as per geometric scaling. Making suitable assumptions: $($a$)$ What is the rate of flow draining when the gutter is flowing full? $($b$)$ The gutter is designed for a sudden rainstorm of up to $5$ mm per hour. For this condition, what is the maximum roof area that can be drained successfully? $($c$)$ What is Red? $($d$)$ The drain installer makes a mistake and installs the drainpipe at an angle of $15$o with the gutter. What is the flow rate for this configuration?

Prob. $3$:

Consider the model house $($building height is less than one ft$.)$ shown in the figure below. The

drainpipe in the figure is only $2$ mm in diameter in the model as per geometric scaling. Making

suitable assumptions:

$($a$)$ What is the rate of flow draining when the gutter is flowing full?

$($b$)$ The gutter is designed for a sudden rainstorm of up to $5$ mm per hour. For this condition, what

is the maximum roof area that can be drained successfully?

$($c$)$ What is Re$\_($d$)?$

$($d$)$ The drain installer makes a mistake and installs the drainpipe at an angle of $15^($@$)$ with the gutter.

What is the flow rate for this configuration?

solve accurately, state all assumptions, show all steps. thanks.