A rectangular plate of height h feet and base b feet is submerged vertically in a tank of fluid that weighs w pounds per cubic foot. The center of the plate is k feet below the surface of the fluid. The fluid force on the surface of the plate is given by F = wkhb Find the fluid force on the rectangular plate as shown in the figure given x = 6 feet and y = 4 feet. Round your answer to one decimal place.
Added by Ivan B.
Close
Step 1
However, the problem does not provide specific values for X and Y, or any other variables. Once we have the values, we can substitute them into the formula F = wkhb. Show more…
Show all steps
Your feedback will help us improve your experience
Sri K and 66 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Fluid Force on a Rectangular Plate A rectangular plate of height $h$ feet and base $b$ feet is submerged vertically in a tank of fluid that weighs $w$ pounds per cubic foot. The center of the rectangle is $k$ feet below the surface of the fluid, where $k>h / 2 .$ Show that the fluid force on the surface of the plate is $$F=w h b$$
Applications of Integration
Fluid Pressure and Fluid Force
A square plate of side $a$ feet is dipped in a liquid of weight density $\rho$ lb/ft'. Find the fluid force on the plate if a vertex is at the surface and a diagonal is perpendicular to the surface.
APPLICATIONS OF THE DEFINITE INTEGRAL IN GEOMETRY, SCIENCE, AND ENGINEERING
Fluid Pressure and Force
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD