A $577-$mm$-$diameter pipe $(=0\mathrm{.}09mm),161m$ long runs

from one reservoir to another, both ends of the pipe being

under water. The intake has loss coefficient due to

contraction of $0\mathrm{.}47,$ the loss coefficient by expansion is $1.$

The difference between the water surface levels of the two

reservoirs is $60m.$ Assume $=1\mathrm{.}002e-3Pa*s$ and $=1000$

$k\frac{g}{m^3}.$ Find the pressure head in $m$ at point $($P$)113m$ from

the intake, where the elevation is $66m$ lower than the

surface of the water in the upper reservoir. Note: lambda

and flow rate need to be determined.