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. † † margin: y y x - 2 - 1 1 2 - 2 - 1 1 2 50 water line not to scale d ( y ) = 50 - y Figure 6.5.8: Measuring the fluid force on an underwater porthole in Example 6.5.4.The pressure on an object at depth h in a liquid is given as, The truth is that it is not, hence the survival tips mentioned at the beginning of this section. This is counter-intuitive as most assume that the door would be relatively easy to open. Most adults would find it very difficult to apply over 500 lb of force to a car door while seated inside, making the door effectively impossible to open. Using the weight-density of water of 62.4 lb/ft 3, we have the total force as We adopt the convention that the top of the door is at the surface of the water, both of which are at y = 0. ![]() Its length is 10 / 3 ft and its height is 2.25 ft. SolutionThe car door, as a rectangle, is drawn in Figure 6.5.7.
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