On the opposite sides of a wide vertical vessel filled with water, two identical holes are opened, each having cross sectiona area a. The height dference between them is equal to `h`. Find the resultant force of reaction of water flowing out of vessel.
Text Solution
AI Generated Solution
To find the resultant force of reaction of water flowing out of a vertical vessel through two identical holes at different heights, we can follow these steps:
### Step 1: Understand the Setup
We have a vertical vessel filled with water. There are two holes (A and B) on opposite sides of the vessel, with a height difference \( h \) between them. Each hole has a cross-sectional area \( a \).
### Step 2: Apply Bernoulli's Equation
Using Bernoulli's theorem, we can relate the velocities of the water flowing out of the holes to the height difference. The equation states that:
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