Fluid Dynamics

jkb

Water flows out of a 17.0 mm-diameter sink faucet at 2.20 m/s.

At what distance below the faucet has the water stream narrowed to 10 mm diameter?

I am confused on how to approach this question as it is vertical and therefore using the bernoulli's eqn. for this makes no sense? or at least i think it doesnt? thanks for any help!

civil_dude

Conservation of mass is required. The water will gain velocity as it leaves the faucet, and thus as the velocity increase due to gravity, the cross section must decrease. Find what velocity is required for the same flow to flow through the smaller cross section. Then use kinematics to find the distance it takes to reach that velocity.

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jkb	Fluid Dynamics Tweet Water flows out of a 17.0 mm-diameter sink faucet at 2.20 m/s. At what distance below the faucet has the water stream narrowed to 10 mm diameter? I am confused on how to approach this question as it is vertical and therefore using the bernoulli's eqn. for this makes no sense? or at least i think it doesnt? thanks for any help!

civil_dude	Conservation of mass is required. The water will gain velocity as it leaves the faucet, and thus as the velocity increase due to gravity, the cross section must decrease. Find what velocity is required for the same flow to flow through the smaller cross section. Then use kinematics to find the distance it takes to reach that velocity.