Ph1a-2007-HW8-soln

Ph1a-2007-HW8-soln - Ph1a Solutions 8 Chefung Chan...

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Unformatted text preview: Ph1a Solutions 8 Chefung Chan (cchan@caltech.edu), Fall 2007 Each homework problem is worth 5 points. Please disregard the point values listed on the problem itself. Use these instead. 8.1 FP3 (5 points) 8.1.a (2 points) The volume flow rate must be constant which implies ( vA ) hose = ( vA ) end , where v is the speed of the fluid and A is the cross sectional area. Since A end = 1 / 2 A hose , v end = 2 v hose = 2 * 5 m / s = 10 m / s. 8.1.b (3 points) First, change units to SI units: P end = 1 atm = 1 10 5 Pa, P hose = 0 . 5 atm = 5 10 4 Pa. Bernoullis equation gives: P end + 1 / 2 v 2 end + gy end = P top + 1 / 2 v 2 top + gy top y top = 1 g ( P end- P top ) + 1 2 g ( v 2 end- v 2 top ) + y end = 1 10 5 Pa- . 5 10 5 Pa (6 10 3 kg / m 3 )(10 m / s 2 ) + (10 m / s) 2- (5 m / s) 2 2 * 10 m / s 2 + 0 = 5 m 8.2 FP11 (5 points) 8.2.a (1 point) The force of gravity is balanced by the bouyant force from the submerged fraction of the cube. If d is the depth of the bottom face, we have:...
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Ph1a-2007-HW8-soln - Ph1a Solutions 8 Chefung Chan...

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