Question

A garden hose with an internal diameter of 2.7 cm is connected to a (stationary) lawn sprinkler that consists merely of a container with 26 holes, each 0.33 cm in diameter. If the water in the hose has a speed of 0.86 m/s, at what speed does it leave the sprinkler holes?

Answer 1

Continuity Principle:

Fluids can't be compressed, which means their molecules can't get closer together than they are in the liquid stage. Because of this the amount of water flow through a pipe or channel has to remain constant, which is called the continuity principle. The only thing that changes when water flows through pipes or channels with varying radii is the fluid's velocity.

Mass conservation

• The continuity equation is an expression of the mass conservation of the fluid. In the absence of mass sources and drains, the amount of mass entering or exiting a given volume must be equal.
• For an incompressible fluid, the continuity equation is simply Av=constant, where A is the cross-sectional area occupied by the fluid and vv is the fluid velocity.
• The product Av is known as the volumetric flow rate. It expresses the amount of fluid passing the cross-section per time unit.