OUESTION $3$: $(33$ points$)$

A $15cm$ diameter pipe is used to transfer water at a rate of $0\mathrm{.}5\frac{m^3}{s}.$ As shown below,

a diffuser with an outlet diameter of $30cm$ is placed at the end of the pipe to slow

down the flow of water. Determine the force exerted on the rivets. You can neglect

the frictional effects. You can take the density of water as $1000k\frac{g}{m^3}.$ the viscosity

of water as $0\mathrm{.}001k\frac{g}{m}s,$ the atmospheric pressure as $101$kPa, the gravitational

acceleration as $9\mathrm{.}81m^{\text{'}}{s}^2,$ and the kinetic energy coefficient as $1\mathrm{.}0.$