Explanation Given info.: Formula used: Bernoulli’s equation can be expressed as, P ρg + v 2 2g +h=constant . Here P ρg represents the pressure head . V 2 2g represents the velocity head . h represents the height . Calculation: Applying Bernoulli’s equation at the end points of the siphon tube as P 1 ρg + v 1 2 2g +h 1 = P 2 ρg + v 2 2 2g +h 2 Here, subscript 1 represents the position of the point at the base level of the clogged sink and the subscript 2 represents the position of the point at the end of the siphon tube inside the pail. Since, pressure heads are same at both the ends of the siphon which is equal to atmospheric pressure, the Bernoulli’s equation can be reduced to v 1 2 2g +h 1 = v 2 2 2g +h 2 The velocity inside the sink can be assumed to zero that is V 1 =0 . So, the Bernoulli’s equation can again be reduced to v 2 2 2g =h 1 − h 2 = Δ h Hence, solving for V 2 , v 2 = 2g Δh Height difference =85- ( 45+4 ) cm =36 cm Substitute, =36cm for Δh and 9 .8m/s 2 for g in the above expression v 2 = 2g Δh = 2× ( 9 .8 m/s 2 ) ×36 cm = 2×9 .8 m/s 2 ×0 ...

7th Edition

ISBN: 9780321625922

Author: Douglas C. Giancoli

Publisher: Addison-Wesley

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Chapter 10, Problem 98GP

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The water velocity when it enters the pail

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