If your course materials don't give you a "canned" formula for finding the net force on underwater vertical surfaces then presumably you'll be expected to derive them. What is your math background? Is a bit of calculus an option here?Any Help said:
No for two reasons:Zypheros_Knight said:
gneill said:
)mfb said:
You can. Although it might be more instructive to take a general case first. It's a standard result that you can then use whenever this sort of problem pops up.Any Help said:
then it will be density.g.A.(9d^2-4d^2)/2=1000x9.8x49x245/2= 58824500N please check my answer if I'm solving it correctlygneill said:
Its wrong,BTW is this a high-school based question or a college based one because both will have different requirements? And please show your working (I haven't reached integration in my course!)Any Help said:
Can you go into detail about how you arrived at your formula? I suspect that you've made a slip regarding how the wall area fits into your result.Any Help said:
The wall area is 49 m2 but I can't figure out what integration method he usedgneill said:
gneill said:
gneill said:
forget it, okay area =49 now what ??Zypheros_Knight said:
Please tell us what level answer is required? Looks like you don't know about integration here's a link to a good place to start(https://www.wyzant.com/resources/lessons/math/calculus/integration)Any Help said:
Your formula is pretty close to correct, but I believe you made a error when you introduced the area during your derivation. I really do suggest that you do the derivation for a general case, forgetting the multiples of d for the moment. Just assign a starting and ending depth to two variables. No numbers for now, just symbols.Any Help said:
Two ways to check:Any Help said:
The L-shaped tank problem is a mathematical problem that involves determining the forces exerted on a tank due to water pressure. It is commonly used in engineering and physics to understand the distribution of forces in complex structures.
The forces due to water pressure in an L-shaped tank can be calculated by using the formula F = ρgh, where F is the force, ρ is the density of water, g is the acceleration due to gravity, and h is the height of the water column. This formula applies to both horizontal and vertical walls of the tank.
The forces due to water pressure in an L-shaped tank are affected by the depth of the water, the shape and orientation of the tank, and the density of the water. The forces also vary depending on the location within the tank.
The forces due to water pressure in an L-shaped tank can be minimized by reducing the depth of the water, using a more compact or streamlined tank design, and choosing a less dense liquid to fill the tank. Adding additional support structures can also help distribute the forces more evenly.
The L-shaped tank problem has many real-life applications, such as in the design and construction of water storage tanks, swimming pools, and dams. It is also used in the study of buoyancy and stability of ships and submarines.