The Tainter gate, shown in the .gure, is a circular arc ABC. It is raised and lowered by pivoting about point O. Water B R Part A: Find the net force due to pressure (horizontal and vertical components) acting on the gate. The pressure on the right side of the gate is patm. Let R = 4 m and the width of the gate be equal to R. Part B: Find the center of pressure. Show that the force acts through point O. Part D: Explain why this type of gate would close automatically under its own weight in the event of mechanical failure of whatever mechanism rotates the gate about O.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The Tainter gate, shown in the .gure, is a circular arc ABC. It is raised and lowered by pivoting
about point O.
Water
B
R
Part A: Find the net force due to pressure (horizontal and vertical components) acting on the gate.
The pressure on the right side of the gate is patm. Let R = 4 m and the width of the gate be
equal to R.
Part B: Find the center of pressure. Show that the force acts through point O.
Part D: Explain why this type of gate would close automatically under its own weight in the event of
mechanical failure of whatever mechanism rotates the gate about O.
Transcribed Image Text:The Tainter gate, shown in the .gure, is a circular arc ABC. It is raised and lowered by pivoting about point O. Water B R Part A: Find the net force due to pressure (horizontal and vertical components) acting on the gate. The pressure on the right side of the gate is patm. Let R = 4 m and the width of the gate be equal to R. Part B: Find the center of pressure. Show that the force acts through point O. Part D: Explain why this type of gate would close automatically under its own weight in the event of mechanical failure of whatever mechanism rotates the gate about O.
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