Question

A garden hose having with an internal diameter of 1.1 cm is connected to a (stationary) lawn sprinkler that consists merely of an container with 22 holes, each 0.15 cm in diameter. If the water in the hose has a speed of 0.95 m/s, at what speed does it leave the sprinkler holes

Answer 1

Water leaves the sprinkler at a speed of 2.322 m/sec

Step-by-step explanation:

We have given internal diameter of the garden
`d_1=1.1cm`

Speed of water in the hose is
`v_1=0.95m/sec`

Number of holes n = 22

Diameter of each holes
`d_2=15cm`

According to continuity equation
`A_1v_1=A_2v_2`

`d_1^2* v_1=22* d_2^2v_2`

`1.1^2* 0.95=22* 0.15^2* v_2`

`v_2=2.322m/sec`

So water leaves the sprinkler at a speed of 2.322 m/sec