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Bernoullis question?
Water is flowing in a hose with a velocity of 1.0 m/s and a pressure of 200 kpa gauge
At the nozzle the pressure decreases to atmospheric pressure, there is no change in height. Calculate the velocity of the water at the nozzle
1 Answer
- Some BodyLv 73 years agoFavorite Answer
Bernoulli’s principle
P₁ + ½ ρ v₁² + ρgh₁ = P₂ + ½ ρ v₂² + ρgh₂
Given:
ρ = 1000 kg/m³
P₁ = 200 kPa gauge = 200,000 Pa gauge
v₁ = 1.0 m/s
P₂ = 0 Pa gauge (atmospheric pressure)
v₂ = ??
h₁ = h₂
Therefore:
P₁ + ½ ρ v₁² = ½ ρ v₂²
2P₁ + ρ v₁² = ρ v₂²
2P₁/ρ + v₁² = v₂²
v₂ = √(2P₁/ρ + v₁²)
Plug in and solve.
