We don’t need calculus for this which is illustrated by the following example.Įxample1: Find the fluid force on a rectangular metal sheet measuring 3ft by 4ft, that is submerged horizontally in 6 ft. If the plate is submerged horizontally then pressure is constant and can be calculated using the equation F=P*A. Weight density of water= 62.4 lb/cubic ft. Fluid force on a submerged horizontal surface of area A is , Pascal’s principle states that pressure exerted by a fluid at a depth h is transmitted equally in all directions. Where w= weight density of liquid per unit of volume. To find the area, we will multiply all of that by the change in height, which is Δx.The pressure on an object at depth h in a liquid is given as, Now we can find the area of the trapezoid, which is the base added to double the width of the triangle (a), since the triangle is on both sides of the trapezoid. This is equal to the line from the base to the surface of the water (2 - x) divided by a, which is the width at 2-x. Set up the equation so that you divide the total height (4m) by the maximum width of this section (2m since (8m - 4m)/2, there's 2m on each side). First you need to find an area equation for the triangle section of the trapezoid where the width is increasing from 4m to 8m, keeping in mind that we're only interested in the area that is submerged in water (2m).
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |