- #1

songoku

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- Homework Statement
- A person wants to move all the water from pool (on the left side) to a container (on the right side). He uses pipe with cross sectional area 5 cm square. If h = 2 m and H = 20 m, what is the time needed? Take the area of the pool 50 m square

- Relevant Equations
- Bernoulli equation

Flow rate

I take position 1 as the surface of the pool and position 2 as the surface of the container so the value of ##P_1 = P_2 = P_{atm}## and ##v_1=0## and ##h_2=0##

##P_1 + \rho gh_1 + \frac{1}{2} \rho {v_1}^2 = P_2 + \rho gh_2 + \frac{1}{2} \rho {v_2}^2##

##\rho gH = \frac{1}{2} \rho {v_2}^2##

##{v_2}## = 20 m/sThen, ##\frac{\text {volume of water in pool}}{\text {time}} = \text {area of pipe} . {v_2}##

I get time = 10 000 seconds but the answer key is 600 seconds

Where is my mistake? Thanks