The top of a semicircular viewing window in an aquarium is 12 feet below the surface of the water. The density of water is 62.4 pounds per cubic feet. If the viewing window is divided into three equal sectors, find the pressure on each sector.
To find the pressure on each sector of the viewing window, we need to use the formula for pressure:
Pressure = Density * Acceleration due to gravity * Height
The density of water, as given in the problem, is 62.4 pounds per cubic foot. The acceleration due to gravity is approximately 32.2 feet per second squared.
Since the viewing window is below the surface of the water, we need to consider only the height of the water above the window. The given information states that the top of the viewing window is 12 feet below the surface of the water. We can subtract 12 from the total height to find the height of the water above the window.
To calculate the pressure on each sector, we divide the total height of the water above the window by 3, as the window is divided into three equal sectors.
Let's calculate the pressure on each sector step by step:
Step 1: Calculate the height of the water above the window:
Total height - Depth of the window = Height of water above the window
Total height - 12 feet = Height of water above the window
Step 2: Calculate the pressure on each sector:
Pressure = Density * Acceleration due to gravity * Height of water above the window / 3
Now, let's calculate the values:
Density = 62.4 pounds per cubic foot
Acceleration due to gravity = 32.2 feet per second squared
Total height = ? (The problem did not provide this information.)
Please provide the total height of the viewing window, so we can calculate the pressure on each sector.