pts $=12$ pts$)$ Suppose a $4-$inch diameter penstock delivers $120gpm($gallon per minute$)$ of water through an elevation change of $100$ feet. The pressure in the pipe is $25$ psi $($pound per square inch$)$ when it reaches the powerhouse.

$6$a$)$ Find the pressure head and velocity head.

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$6$b$)$ What fraction of the available head is lost in the pipe?

$6$c$)$ How much power is available for the turbine?