A flat disk $($see Figure $2)$ is exposed to steady flow with a free stream velocity $U$ which creat distribution given in table. If the pressure on the back of the disk is a uniform $-4\mathrm{.}1k\frac{N}{m^2}$ calcula the disk. Hint: you will need to numerically integrate the pressure across the disk face. $F_{\text{n}\text{e}\text{t}}=[4\mathrm{.}5]$

$\backslash$table$[[r(m),0\mathrm{.}0,0\mathrm{.}05,0\mathrm{.}1,0\mathrm{.}15,0\mathrm{.}2,0\mathrm{.}25,0\mathrm{.}3,0\mathrm{.}35,0\mathrm{.}4,0\mathrm{.}45,0\mathrm{.}5],[P(kPa),4\mathrm{.}4,4\mathrm{.}1425,3\mathrm{.}845,3\mathrm{.}5075,3\mathrm{.}13,2\mathrm{.}7125,2\mathrm{.}255,1\mathrm{.}7575,1\mathrm{.}22,0\mathrm{.}6425,0\mathrm{.}025]]$