A gate having a cross-sectional area of quarter circle is used to control the water flow of a reservoir as shown below. The quarter circle has a radius of R = 1 m, and its weight is 40 × 103 N per unit width (into the page). A pin is used to connect the gate with a vertical wall. At which height h of water does the gate open. Assume that water temperature is 20°, and use the standard value of the gravitational acceleration. If needed, use the table for area and centroid attached to the end of this homework. Water Pin 1 m Gate P 1 m
A gate having a cross-sectional area of quarter circle is used to control the water flow of a reservoir as shown below. The quarter circle has a radius of R = 1 m, and its weight is 40 × 103 N per unit width (into the page). A pin is used to connect the gate with a vertical wall. At which height h of water does the gate open. Assume that water temperature is 20°, and use the standard value of the gravitational acceleration. If needed, use the table for area and centroid attached to the end of this homework. Water Pin 1 m Gate P 1 m
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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Transcribed Image Text:A gate having a cross-sectional area of quarter circle is used to control the water flow of a reservoir as shown
below. The quarter circle has a radius of R = 1 m, and its weight is 40 × 103 N per unit width (into the page).
A pin is used to connect the gate with a vertical wall. At which height h of water does the gate open. Assume
that water temperature is 20°, and use the standard value of the gravitational acceleration. If needed, use
the table for area and centroid attached to the end of this homework.
Water
Pin
1 m
Gate
P
1 m
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