syphon water from a clogged sink Problem 2: You need to syphon water from a clog
ID: 1788164 • Letter: S
Question
syphon water from a clogged sink
Problem 2: You need to syphon water from a clogged sink. The sink has an area of 0.4 m2 The syphon has a diameter of 2.5 cm. All other dimensions are given in the diagram. Ignore viscosity. 45 em a) Assuming the water level in the sink has essentially zero velocity because its area is so much bigger than the hose in the syphon, use Bernouli's equation to calculate the velocity of the water as it enters the pail. (1 mark) 4.0 cm 85cm b) How long will it take to empty the sink of water? (2 marks)Explanation / Answer
area of sink, A = 0.4 m^2
diameter of siphon, d = 2.5 cm
a. assuming 0 speed of water in the sink
speed of water as it enters the pail be v
then from bernoullis theorem
Pa - rho*g*0.45 = Pa - rho*g*0.85 + 0.5*rho*v^2
v = 2.801428 m/s
b. voluem flow rate, r = v*pi*d^2/4 = 0.00137514 m^3 per s
voluem in sink = 0.4*0.04 m^3
time taken = 11.635113 s
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