Question $3$: $[5$ points$]$ If a $40$ mm diameter cylinder is immersed in a stream of ideal flow having a velocity of $\backslash (1\mathrm{.}0\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ),($a$)$ determine the radial and normal components of velocity at a point on a streamline where $\backslash ($ r$=50\backslash$mathrm$\{$~mm$\}\backslash )$ and $\backslash (\backslash$theta$=135^\{\backslash$circ$\}\backslash ),$ measured from the positive $\backslash ($ x $\backslash )-$axis. $[$Note: Derive the expressions for the velocity components from the potential or streamfunction and then evaluate the values at the specified location.$]($b$)$ Also determine the pressure distribution with radial distance along the $\backslash ($ y $\backslash )-$axis.