Determine the force required to hold the gate in place.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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P6.0
A6m high, 4 m wide rectangular gate is located at the end of an open freshwater
tank (Figure P6.6). The gate is hinged at the top and held in place by a force F.
From Equation (6.4), the pressure is proportionał to the depth of the water, and
the average pressure pavg exerted on the gate by the water is
Ap
Parg
2
where Ap is the difference in pressure between the bottom of the gate (p,) and
the surface (p,). The resulting force of the water on the gate is
Fwater = PavgA
where A is the area of the gate the water acts upon. The resulting force acts
2 m from the bottom of the gate because the pressure increases with depth.
Determine the force required to hold the gate in place.
3 m
6 m
Fwater
2 m
Transcribed Image Text:P6.0 A6m high, 4 m wide rectangular gate is located at the end of an open freshwater tank (Figure P6.6). The gate is hinged at the top and held in place by a force F. From Equation (6.4), the pressure is proportionał to the depth of the water, and the average pressure pavg exerted on the gate by the water is Ap Parg 2 where Ap is the difference in pressure between the bottom of the gate (p,) and the surface (p,). The resulting force of the water on the gate is Fwater = PavgA where A is the area of the gate the water acts upon. The resulting force acts 2 m from the bottom of the gate because the pressure increases with depth. Determine the force required to hold the gate in place. 3 m 6 m Fwater 2 m
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