A concrete pipe $1525$ m long has a $0\mathrm{.}457$ m diameter and a $51$ mm wall

thickness. The pipe carries water from a reservoir and discharges it into the

air at an elevation $45\mathrm{.}7$ m below the water surface in the reservoir. A valve

installed at the end of the pipe permits a flow rate of $0\mathrm{.}708\frac{m^3}{sec}.$ If the valve

is closed in $1\mathrm{.}5$ sec $,$ calculate the water hammer pressure at the valve. Assume

the pipe is free to move longitudinally.