You need to siphon water from a clogged sink. The sink an area of 0.53 m^3 and i

Question

You need to siphon water from a clogged sink. The sink an area of 0.53 m^3 and is filed to a height at 4.0 cm. Your siphon tube rises 50 cm. above the bottom to the sink and then descends 100 cm to pail as shown in the figure (Figure 1). The siphon tube has a diameter of 2.5 cm. Assuming that the tube is narrow compared to0 the sink, calculate the velocity of the water when it enter, the pal. Then tube in the pail is about 4.0 cm below the surface of the liquid in pail. Express your answer using two significant figures. v = Estimate how long it will take to empty the sink. Express your answer using two significant figures. t =

Explanation / Answer

Consider points 1 and 3
P1 = P3

pgy1 + 1/2*p*v1^2 = pgy3 + 1/2*p*v3^2

g * 0.54 = 1/2v3^2

=> v3 = sqrt(2*9.8*0.54)

=> v3 = 3.25 m/s

b)
t = (surface area * depth) / (v * At)
t = (surface area * depth) / (v * (pi/4)*d^2 )
t = (0.53 m^2 * .04 m) / (3.25 m/s * (pi/4)*(0.025m)^2 )
t = 13.28 sec

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