exam1_18_soln.pdf - ECH 141Fluid Mechanics Winter 2018 Exam...

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Algebra and Trigonometry: Real Mathematics, Real People
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Chapter 7 / Exercise 3
Algebra and Trigonometry: Real Mathematics, Real People
Larson
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ECH 141—Fluid Mechanics Winter 2018 Exam 1 1/31/2018 (One hour, Closed book, no notes) 1. (25 pts.) In the tank shown below, a heavy liquid is underneath water on one side of a partition, and gasoline on the other. The density of gasoline is 680 kg/m 3 , and the specific gravity S of the heavy liquid is 1.6. What is the value of the height h?
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Algebra and Trigonometry: Real Mathematics, Real People
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Chapter 7 / Exercise 3
Algebra and Trigonometry: Real Mathematics, Real People
Larson
Expert Verified
h = 1.5m ( ) + 1.6 1m ( ) 0.68(2.5m) 1.6 0.68 ( ) = 1.4 0.92 m = 1.52m . 2. (25 pts.) The bottle of champagne shown below is under pressure, as indicated by the mercury manometer reading. Compute the net force on the hemispherical bottom of the bottle, if its radius is 5cm. Assume that champagne has the same density as water, and that atmospheric pressure acts on both sides of the bottom.

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