This principle is known as the Continuity Equation in fluid dynamics. It states that for an incompressible fluid flowing through a pipe, the product of the cross-sectional area and the fluid velocity remains constant. Thus, when the cross-sectional area of the pipe decreases, the fluid must flow faster to maintain that constant flow rate. This phenomenon is often observed in scenarios like a garden hose with a nozzle, where narrowing the opening increases the speed of the water exiting.
Shapes that have a circular cross-section include cylinders, spheres, and cones. In a cylinder, each cross-section parallel to the base is a circle, while a sphere has circular cross-sections at any plane that intersects it. A cone also has circular cross-sections parallel to its base, becoming smaller as it approaches the apex.
A cross section of a right circular cone is a two-dimensional shape obtained by slicing the cone perpendicular to its axis. Depending on the position of the cut, the cross section can be a circle, an ellipse, or a triangle. If the cut is made parallel to the base, the cross section will be a smaller circle. If the cut is made vertically through the apex and perpendicular to the base, it will form a triangle.
One possible cross section of a sphere is a circle. When a plane intersects the sphere, the shape of the intersection can vary depending on the position of the plane. If the plane cuts through the center of the sphere, the resulting cross section will be a circle with the same radius as the sphere. If the plane intersects the sphere at other points, the cross section will still be a circle, but its radius will be smaller.
It is a rectangle which is similar to (but smaller than) the rectangular base.
The horizontal cross section of a triangular pyramid, or tetrahedron, is a shape that varies depending on the height at which the section is made. At different heights, the cross section will be a triangle, with its size and proportions changing as you move up or down the pyramid. If the section is made at the base, the cross section will equal the triangular base itself, while sections taken higher up will be smaller triangles. The shape remains triangular throughout, but its dimensions shrink as you ascend towards the apex.
D.Flow rate equation
This is an application of the principle of conservation of mass in fluid dynamics, known as the continuity equation. When the pipe narrows, the same volume of fluid must flow through the smaller area, leading to an increase in fluid velocity to maintain the mass flow rate.
The volume of a bottle is not sufficient information to determine its dimensions. Some bottles have a wide circular cross section and are squat, others have a smaller cross section but are taller, others have a square or rectangular cross section.
No because it would be smaller.
They are all circles. The vertical and horizontal have the same radius as the ball while the angled cross section has a smaller radius.
Shapes that have a circular cross-section include cylinders, spheres, and cones. In a cylinder, each cross-section parallel to the base is a circle, while a sphere has circular cross-sections at any plane that intersects it. A cone also has circular cross-sections parallel to its base, becoming smaller as it approaches the apex.
"UPC" its attenuation is smaller than the PC and it has a spherical cross-section
A cross section of a right circular cone is a two-dimensional shape obtained by slicing the cone perpendicular to its axis. Depending on the position of the cut, the cross section can be a circle, an ellipse, or a triangle. If the cut is made parallel to the base, the cross section will be a smaller circle. If the cut is made vertically through the apex and perpendicular to the base, it will form a triangle.
One possible cross section of a sphere is a circle. When a plane intersects the sphere, the shape of the intersection can vary depending on the position of the plane. If the plane cuts through the center of the sphere, the resulting cross section will be a circle with the same radius as the sphere. If the plane intersects the sphere at other points, the cross section will still be a circle, but its radius will be smaller.
It is a rectangle which is similar to (but smaller than) the rectangular base.
It is a lower cross-section, so will be slightly lower and wider.
My $210 Physical Geography class text book does not have the answer. It just says it would be smaller than the diameter of a cross section through the equator.