GATE Papers >> Mechanical >> 2017 >> Question No 140

Question No. 140

A 60 mm-diameter water jet strikes a plate containing a hole of 40 mm diameter as shown in the figure. Part of the jet passes through the hole horizontally, and the remaining is deflected vertically. The density of water is 1000 kg/m3. If velocities are as indicates in the figure, the magnitude of horizontal force (in N) required to hold the plate is_______

Solution of Question No 140 of GATE 2017 Mechanical Paper

Froce = Rate of change in momentum

$\begin{array}{l}{\mathrm F}_\mathrm r={\mathrm{ρA}}_1{\mathrm V}_1^2-{\mathrm{ρA}}_2{\mathrm V}_2^2\\{\mathrm F}_\mathrm r=1000\times\frac{\mathrm\pi}4\times0.06^2\times20^2-1000\times\frac{\mathrm\pi}4\times0.04^2\times20^2\\{\mathrm F}_\mathrm r=628.57\;\mathrm N\end{array}$