Question

6 Consider a gate of width w (which hopefully doesn't trigger bad memories...). In order to keep this gate stationary at 0 45°, a jet of water of area A is shot at the top of the gate in such a way that the resulting streams are directed outwards. What should be the speed of the jet, Vjet, to keep this system in equilibrium? Ajet Vjet h/2 Z P h 0= 45° y Hinge

Answer 1

Gilent . . Ajet vjet % th : uso • ;. from fige length of plate La elimuse sitamine length of plate in water hoa hole sinur - rah h = Lue sinuso = 2 Hydrostatic force for Peña » f= Pxgx b & Fehow Souto - fih tih z z rez Hydrostatic force acting point fa a Ft Ixe sise A5

h£t wong sinus 36x Vzxwa h = b 2 + weer let water jet applied on inclined plane File = PA is rich Taking moment about Hing due to plateis in static equilibrium : ME=-> ) pah w.ſh-hit PA. Wier ret Jet - ” otec na to je Asert vente e ghw [hotvijek Ajet jet to maintain plate at in velocity of its position is jer