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January 29, 2015

January 29, 2015

Posted by **kelsi** on Thursday, May 21, 2009 at 9:17pm.

A)Assuming that the water level in the sink has almost zero velocity, estimate the water velocity when it enters the pail.

B)Estimate how long it will take to empty the sink

- physics -
**kelsi**, Thursday, May 21, 2009 at 9:19pmsorry, the units didn't show up. it's .36 m^2, 4.0cm, 45cm, 85cm, 2.4cm

- physics -
**Damon**, Thursday, May 21, 2009 at 9:57pmwater .04 m deep.

volume = .04*.36 = .0144 m^3

bottom of sink to pail height difference is .85-.45 = .4 m

We will have to assume no friction in the pipe or entrance or exit losses unless you know those . Thefore use bernoulli

p + rho g * change in h + (1/2) rho v ^2 = constant

p is air pressure, v at start = 0 so

rho (9.81) (.4) = .5 rho v^2

v^2 = 7.848

v = 2.8 m/s

then

radius = .024/2 = .012 m

pi r^2 = .000452 m^2

so

volume flow rate = 2.8*.000452 = .001267 m^3/s

volume of water = .0144 so

time = .0144/.001267 = 11.36 seconds

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