Question

On a bet, you try to remove water from a glass by blowing across the top of a vertical straw immersed in the water. What is the minimum speed you must give the air at the top of the straw to draw water upward through a height of 1.6cm?

Answer 1

v₂ = 0.56 m / s

Step-by-step explanation:

This exercise can be done using Bernoulli's equation

P₁ + ½ ρ v₁² + ρ g y₁ = P₂ + ½ ρ v₂² + ρ g y₂

Where points 1 and 2 are on the surface of the glass and the top of the straw

The pressure at the two points is the same because they are open to the atmosphere, if we assume that the surface of the vessel is much sea that the area of ​​the straw the velocity of the surface of the vessel is almost zero v₁ = 0

The difference in height between the level of the glass and the straw is constant and equal to 1.6 cm = 1.6 10⁻² m

We substitute in the equation

`P_(atm)` + ρ g y₁ =
`P_(atm)` + ½ ρ v₂² + ρ g y₂

½ v₂² = g (y₂-y₁)

v₂ = √ 2 g (y₂-y₁)

Let's calculate

v₂ = √ (2 9.8 1.6 10⁻²)

v₂ = 0.56 m / s