Suppose, rather than calculating the upward force exerted by the water on the curved quarter of the cylinder, you calculated the downward force exerted by the curved quarter of the cylinder on the limited slab of water directly beneath it. By Newton's 3rd law, this would be equal in magnitude to the upward force of the water on the cylinder. Would this be OK with you?Est120 said:
Pressure at a point in a fluid depends on the height of fluid above the point. It is completely independent of the depth below the point.Est120 said:
At a given horizontal level in the fluid the pressure is the same everywhere; if not, fluid would flow from the higher pressure to the lower.Est120 said:
You haven't responded to my post #6. I would appreciate a response.Est120 said:
yes, that is ok i can clearly understand that concept my issue was Fy calculated in that manner, thank you for the responseChestermiller said:
The free body diagram for the "shoe shaped" region of water situated directly underneath the curved surface, and sandwiched in-between the cylinder and the base, is shown in your original figure (in post #1). It shows the vertical force due to the weight of the fluid contained in this region, the upward force from the base, the horizontal force exerted by the fluid on the left, and the horizontal and vertical components of the force from the cylinder surface acting on the fluid. Do you see these forces in the figure? We are going to do a vertical equilibrium force balance on this shoe-shaped region. Is it the upward vertical force from the base that you do not understand?Est120 said:
Please, see:Est120 said:
This changes the weight of the water in the free body, which changes the net downward force from the overlying surface.Lnewqban said:
Can you explain more clearly what it is that you do not understand? Since you do not seem to be finding our posts helpful, maybe we do not understand your difficulty.Est120 said:
Pressure force on curved surfaces is the force exerted by a fluid on a curved surface due to the pressure of the fluid. This force is perpendicular to the surface and can be broken down into two components: the vertical component and the horizontal component.
The vertical component of pressure force on curved surfaces is calculated by multiplying the pressure at a specific point on the surface by the projected area of that point onto a horizontal plane. This calculation takes into account the curvature of the surface and the angle at which the fluid is acting on the surface.
The vertical component of pressure force on curved surfaces is important in determining the stability and equilibrium of objects or structures that are subjected to fluid pressure. It also plays a role in the design of curved surfaces, such as the wings of airplanes or the hull of ships, to ensure they can withstand the pressure forces acting on them.
The vertical component of pressure force on curved surfaces differs from that on flat surfaces because the curvature of the surface affects the direction and magnitude of the force. On a flat surface, the force is always perpendicular to the surface, but on a curved surface, the force can have both a vertical and horizontal component.
The vertical component of pressure force on curved surfaces can be affected by the shape and curvature of the surface, the density and viscosity of the fluid, and the angle at which the fluid is acting on the surface. Other factors such as surface roughness and the presence of obstacles can also impact the vertical component of pressure force.
