A $0\mathrm{.}3$ m diameter pipe turns through $60$ in a horizontal plane. If its diameter reduces within the bend to $0\mathrm{.}15$ m and air with density $1\mathrm{.}23k\frac{g}{m^3}($assume constant$)$ is flowing through the pipe with an upstream velocity of $50\frac{m}{s},$ calculate the force on the pipe bend exerted by the air $($in magnitude and direction$)$ if the upstream static pressure of the air is ${10}^5\frac{N}{m^2}.$