A thin stream of water flows smoothly from a faucet and falls straight down. At one point, the water is flowing at...

Question

Question

Answer 1

Answer #1

From Continuity equation

A₁V₁ = A₂V₂

(pi*d₁²/4)*V₁ = (pi*d₂²/4)*V₂

Given d₂=0.769d₁

d₁²*1.47 =(0.769d₁)²*V₂

V₂=2.4858 m/s

From Bernoulli's equation

P₁+(1/2)pV₁²+pgh₁ = P₂+(1/2)pV₂²+pgh₂

since P₁=P₂=P_atm

=>(1/2)(1000)(1.47)²+1000*9.8*h =(1/2)(1000)(2.4858)²

h = 0.205 m = 20.5 cm

Answer 2

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