A1) Floodgates, also known as stop gates, are adjustable gates that restrict the flow of water in flood barriers, reservoirs, rivers, and stream systems. Floodgates prevent river water from backing up into cities during high water levels. 5 m 60° B Figure 1: Floodgate As an aerospace engineer with a solid foundation in fluid mechanics, you would like to propose a temporary design solution to mitigate the damage or disruption of a nearby airport runway flood. The floodgate is 3 m wide and 5 m long, with a solid gate (AB) hinged at point B and restrained by a force-pulley mechanism at point A. The value of mass P is 2500 kg. Assume the density of water is 1000 kg/m³. a) Draw the free body diagram of the floodgates system. b) Calculate the depth of water assuming this rectangular gate is in equilibrium, ignoring the weight of the gate. c) Repeat the calculation as in (a), including the weight of the 5-cm-thick steel (SG = 7.8) gate.

Elements Of Electromagnetics
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A1) Floodgates, also known as stop gates, are adjustable gates that restrict the flow
of water in flood barriers, reservoirs, rivers, and stream systems. Floodgates prevent
river water from backing up into cities during high water levels.
5 m
160°
B
Figure 1: Floodgate
As an aerospace engineer with a solid foundation in fluid mechanics, you would like
to propose a temporary design solution to mitigate the damage or disruption of a
nearby airport runway flood. The floodgate is 3 m wide and 5 m long, with a solid gate
(AB) hinged at point B and restrained by a force-pulley mechanism at point A. The
value of mass P is 2500 kg. Assume the density of water is 1000 kg/m.
a) Draw the free body diagram of the floodgates system.
b) Calculate the depth of water assuming this rectangular gate is in equilibrium,
ignoring the weight of the gate.
c) Repeat the calculation as in (a), including the weight of the 5-cm-thick steel (SG
= 7.8) gate.
d) Suppose the length of the gate AB is doubled; what would be the effect to the
water depth, and why?
Transcribed Image Text:A1) Floodgates, also known as stop gates, are adjustable gates that restrict the flow of water in flood barriers, reservoirs, rivers, and stream systems. Floodgates prevent river water from backing up into cities during high water levels. 5 m 160° B Figure 1: Floodgate As an aerospace engineer with a solid foundation in fluid mechanics, you would like to propose a temporary design solution to mitigate the damage or disruption of a nearby airport runway flood. The floodgate is 3 m wide and 5 m long, with a solid gate (AB) hinged at point B and restrained by a force-pulley mechanism at point A. The value of mass P is 2500 kg. Assume the density of water is 1000 kg/m. a) Draw the free body diagram of the floodgates system. b) Calculate the depth of water assuming this rectangular gate is in equilibrium, ignoring the weight of the gate. c) Repeat the calculation as in (a), including the weight of the 5-cm-thick steel (SG = 7.8) gate. d) Suppose the length of the gate AB is doubled; what would be the effect to the water depth, and why?
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