A fluid is pumped through a curved pipe.$$ At the lower part, the fluid flows with a speed v$1=1\mathrm{.}87$ m$/$s$$through the center of a$$section of the pipe with radius r$1=0\mathrm{.}11$ m$.$ At the upper part, the fluid flows with a speed v$2$ through the center of a section of the pipe with radius r$2=0\mathrm{.}24$ m$.$ The center of the upper part of the pipe is higher than the center of the lower part of the pipe by a height$$H$=1\mathrm{.}73$ m$.$ The density of the fluid is $1206$ kg$/$m$3.$

$1)$

What is v$2,$ the speed of the fluid flow in the center of the upper part of the pipe?