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An open tank contains water with a density (Pw) has a gate with a height (h) and the width (w) on one of the side walls, shown in the figure below. What is the magnitude of force result (FR) and the location of FR (YR) to keep the gate closed against the resultant force produced by the weight of water? ✓ Water, density = Pw 3h 24 YR 2h Hinge FR a) Determine FR and YR from the first principle through area integration. Here, FR = FR = SA YydA, where y = Pwg and FRYR = SA ydF. b) Determine FR and YR by employing "Pressure-Prism" approach. Clearly sketch the pressure-prism.

An open tank contains water with a density (Pw) has a gate with a height (h) and the width (w) on one of the side walls, shown in the figure below. What is the magnitude of force result (FR) and the location of FR (YR) to keep the gate closed against the resultant force produced by the weight of water? ✓ Water, density = Pw 3h 24 YR 2h Hinge FR a) Determine FR and YR from the first principle through area integration. Here, FR = FR = SA YydA, where y = Pwg and FRYR = SA ydF. b) Determine FR and YR by employing "Pressure-Prism" approach. Clearly sketch the pressure-prism.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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An open tank contains water with a density (Pw) has a gate with a height (h) and the width (w) on one of the side walls, shown in the figure below. What is the magnitude of force result (FR) and the location of FR (YR) to keep the gate closed against the resultant force produced by the weight of water? ✓ Water, density = Pw 3h 24 YR 2h Hinge FR a) Determine FR and YR from the first principle through area integration. Here, FR = FR = SA YydA, where y = Pwg and FRYR = SA ydF.
Transcribed Image Text:An open tank contains water with a density (Pw) has a gate with a height (h) and the width (w) on one of the side walls, shown in the figure below. What is the magnitude of force result (FR) and the location of FR (YR) to keep the gate closed against the resultant force produced by the weight of water? ✓ Water, density = Pw 3h 24 YR 2h Hinge FR a) Determine FR and YR from the first principle through area integration. Here, FR = FR = SA YydA, where y = Pwg and FRYR = SA ydF.
b) Determine FR and YR by employing "Pressure-Prism" approach. Clearly sketch the pressure-prism.
Transcribed Image Text:b) Determine FR and YR by employing "Pressure-Prism" approach. Clearly sketch the pressure-prism.
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