Two tanks A and B are connected by a pipe $100$ ft $.$ long.

The first $70$ ft $.$ has a diameter of $3$ in $.$ and then the pipe is suddenly reduced to $2$ in $.$ for the

remaining $30$ ft $.$ The difference of levels between the tanks is constant at $30ftf=0\mathrm{.}005$ and the

loss coefficient of contraction at all sudden changes of area is $0\mathrm{.}32.$ Find all the head losses

including that at the sharp$-$edged pipe entry at A in terms of the velocity v $2$ and hence find the

flow in gallons$/$min$.$ Draw in Hydraulic Gradient diagram.