I\'m having trouble with this question. I\'ve tried using Bernoulli\'s equation

Question

I'm having trouble with this question. I've tried using Bernoulli's equation but maybe I'm using it wrong or something...

You need to siphon water from a clogged sink. The sink has an area of 0.363m^2 and is filled to a height of h = 4.17cm. Your siphon tube rises h_1 = 46.1cm above the water in the sink and then descends h_2 = 120cm to a pail as seen in the figure below. The siphon tube has a diameter of 2.11cm. Assuming that the water enters the siphon tube with almost zero velocity, calculate its velocity when it enters the pail.

Explanation / Answer

Apply Bernouli's priniciple

pg(h2 - h1) = 1/2 *pv^2

v = sqrt (2gh)

=sqrt 2 ( 9.8) (120 cm- 46.2 cm)( 10^-2 m/ cm)

=3.80 m/s

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