Write 3 facts you feel are important or upload a picture of your notes from this section: Write two questions you have from this section: Write one connection you see between this section's material and something you know: Hydrostatic Pressure and Force: Use this space to capture some notes from PatrickJMT's mini-lecture on what Hydrostatic Pressure and Force is all about. (Watch the video linked on DZL under Content > Links + Extras 3 Video Resources from YouTube > Hydrostatic Force Intro.) Make a note of anything that is still unclear or any foIIOw-up questions y0u have. Determine the hydrostatic force exerted on the bottom of a circular fountain filled with fresh water and with a radius of2 m and a depth of 0.5 m. Determine the hydrostatic force exerted on the bottom of a sh tank with dimensions 2 ft wide, 3 ft long, and 2 ft deep if it is full of saltwater. m5; Now imagine we wanted to compute the hydrostatic force on one of the long sides of the fish tank. We know depth is changing along the face of the side. so we can break the side of the tank into :1 strips and imagine that each strip has a constant depth. As we let 3 on, this approximation for hydrostatic force will become the exact value. Draw the side of the fish tank with n = 4 approximating strips. what is the area of each strip? Compute the hydrostatic force on the top strip and bottom strip. Write a generic formula for the hydrostatic force on an arbitrary strip, using x as the independent variable that represents the depth of the strip. Hint: What values remain constant throughout the problem? Which change based on x? Use your arbitrary strip to write an integral that will compute the exact hydrostatic force on the wall of the tank, then evaluate it. Does your value seem reasonable? Hint: Consider what happens as delta x goes to zero. For all hydrostatic force problems the process will be very similar to the fish tank example. We start by finding an expression for the force on an arbitrary strip, then rewrite as an integral and evaluate. The problems become more difficult as finding an expression for the strip becomes more involved. Try the following examples to see variations on the theme. 1. Set up and calculate a definite integral giving the total force on the dam shown in the figure below, which is about the size of the Aswan Dam in Egypt. Assume the (fresh) water goes right to the top. 3600 m 100 m 3000 m-2. A vertical dam in saltwater has a semicircular gate as shown in the figure below. Find the hydrostatic force against the gate. 2 m water level 12 m 4 mA submarine's porthole is a circular window with a radius of 0.25 m. Draw a diagram with sample rectangle and set up a general integral, then compute the hydrostatic force if the submarine dives in saltwater to a depth of: a. 10 m b. 50 m c. 200 m 5. A window at an aquarium overlooks the otter exhibit as shown below. Compute the hydrostatic force on the window (assuming fresh water). 4 m - 12 m