Practice Square Gate Problem - 1.4.1 | 1. Lecture - 13 | Fluid Mechanics - Vol 2
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Square Gate Problem

1.4.1 - Square Gate Problem

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is hydrostatic pressure?

💡 Hint: Consider how pressure changes with depth.

Question 2 Easy

How does the pressure at a point depend on depth in a fluid?

💡 Hint: Remember the formula P = ρgh.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does hydrostatic pressure depend on?

Depth
Density
Gravitational acceleration
All of the above

💡 Hint: Think about the pressure equation P = ρgh.

Question 2

True or false: The center of pressure for a submerged surface is at its centroid.

True
False

💡 Hint: Consider how pressure varies with depth.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A square gate measuring 1.5 m x 1.5 m is fully submerged. If the water density is 1000 kg/m³ and the gravitational force is 9.81 m/s², calculate the force acting on the gate and the moment about the hinge.

💡 Hint: Calculate pressure at the midpoint and remember to consider the right distance for the moment.

Challenge 2 Hard

Given a rectangular gate submerged 2 meters in water, how do you derive the necessary vertical force required for maintaining stability around the hinge?

💡 Hint: Set the counteracting moments around the hinge to zero.

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