1 / 13

Fluid Pressure and Force

Fluid Pressure and Force. Emily Wang Keity Okazaki. Pressure. Pressure is defined as force per unit area. Fluid pressure. Fluid Pressure does not act in any specific direction. Instead the fluid exerts pressure on each side of an object in the direction perpendicular to that side.

dani
Télécharger la présentation

Fluid Pressure and Force

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Fluid Pressure and Force Emily Wang Keity Okazaki

  2. Pressure Pressure is defined as force per unit area.

  3. Fluid pressure Fluid Pressure does not act in any specific direction. Instead the fluid exerts pressure on each side of an object in the direction perpendicular to that side. If the density of the fluid is w (in weight per volume) and the fluid pressure is at depth h, then:

  4. Perpendicular

  5. Example 1  Calculate the force F on the side of the box submerged with its top three feet below the surface of the water. The box has height of 5 and a square base with a side of 2 feet.

  6. Solution (Part 1) Since the pressure varies with the depth, we divide the side into N thin horizontal strips. If Fj is the force on the jth strip, then the total force F is … F= F1+F2+…+Fn

  7. Step 1 • Approximate the force on a strip. • We’ll use the variable y to denote depth. Each strip has a height of 5/N and width 2. • What is the area? • 2 • The bottom edge of the jth strip has a depth of 3+j

  8. Step 2 • We can calculate the total force through a Riemann Sum. • The 2 is the area. • The is the pressure.

  9. Or more simply, • Now we can use the integral • For this problem the equation is • F= • Okay! Let’s solve this! 3,437.5 lb

  10. Fluid Force on a Flat Surface Submerged Vertically • Force on the side= = • w(water)= 62.5lb/

  11. Another example, guys! • A plate in the shape of an equilateral triangle of side 2 ft. is submerged vertically in a tank of oil of mass density = 900kg/Calculate the total force F on one side of the plate! • So, Remember the equation, F= ! • Pay attention to your extraordinary teachers!

  12. Now for Inclines! Calculate the fluid force F on the side of a dam, which is inclined at an angle of 45 degrees. The height of the dam is 700 ft. and the width of the base is 1,500 ft. Assume the reservoir is filled so that water pressure acts along the full slanted side of the dam.

  13. Any Questions? Let’s take time to honor our extraordinary teachers!

More Related