Athin stream of water flows smoothly from a faucet and falls straight down. at one point the water is flowing at a speed of v1 = 1.23 m/s. at a lower point, the diameter of the stream has decreased by a factor of 0.787. what is the vertical distance h between these two points?

The vertical distance between these two points is 12.28 cm.

Explanation:

Given that,

Speed of water = 1.23 m/s

Diameter at lower point d'= 0.787 d

We need to calculate the speed of water

Using continuity equation

Put the value into the formula

We need to calculate the  vertical distance h between these two points

Using Bernoulli theorem

Here, P₁ = P₂ = atmosphere pressure is same because both end is open

Hence, The vertical distance between these two points is 12.28 cm.