At what speed does water escape from a large open-top tank through an opening 3.00 cm in diameter.   The opening is 3.00 m below the water level of the tank on the side of the tank.

Consider a column of water as it falls from a faucet. The opening in the faucet has radius ro and the water comes out with initial velocity vo. Define y to be the distance below the faucet. As the water falls (y increases), it accelerates due to gravity and the stream narrows. a) Assuming streamline flow, find an expression for the velocity of the water for any distance below the faucet. b) The stream obeys the continuity equation. Use this to determine the radius of the stream as a function of y. c) At what distance ₁/2 will the radius of the stream be half its original radius? At what distance Y1/3 will it be a third? d) Compare 1/2 and Y1/3 for v0 = = 1 m/s and v0 = 0.1 m/s (use g = 10 m/s²).

Water flows at 0.72 m/s through a pipe 17 cm in diameter when the pressure is 460,000 Pa. What is the water velocity & the pressure in the pipe if it shrinks down to 6 cm in diameter. Note: (The pipe is horizontal & ρwater = 1000 kg/m3.)

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