A 6-m-high, 4-m-wide rectangular gate is located at the end of an open freshwater tank (Figure P6.6).
Question:
A 6-m-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 proportional to the depth of the water, and the average pressure pavg exerted on the gate by the water is
where Δp is the difference in pressure between the bottom of the gate (p1) and the surface (p0). The resulting force of the water on the gate is
Fwater = pavg A
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.
Figure P6.6
Step by Step Answer:
An Introduction To Mechanical Engineering
ISBN: 9781111576820
3rd Edition
Authors: Jonathan Wickert, Kemper Lewis