FLUID MECHANICS Homework Due Thursday, June 14, 2018 1. Express the following qu
ID: 2303981 • Letter: F
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FLUID MECHANICS Homework Due Thursday, June 14, 2018 1. Express the following quantities in SI units (a) 160 acres, (b) 15 gallons, (c) 240 miles, (d) 79.1 h, and (e) 60.3°F 2. A tank of oil has a mass of 50 slugs. (a) Determine its weight in pounds and in Newtons at the earth's surface. (b) What would be its mass (in slugs) and its weight (in pounds) if located on the moon's surface where gravitational attraction is 1/6th that at the earth's surface? 3. If Vis a velocity, I a length, and v a fluid property having dimensions of L'T which of the following combinations are dimensionless: 0) Viv, () vi/v (ili) v'v, (iv) V/lv 4 The 8-m diameter spherical balloon is filled with helium that is at a temperature of 28°C and an absolute pressure of 106kPa. Determine the weight of the helium contained in the balloon. 5. Determine the density, specific gravity, and mass of the air in a room whose dimensions are 4 mx5 mx 6 m at 100 kPa and 25 °C(Hint: Watch Additional Example Video "Chapter 1-Ideal gas.mp4") 36 mm,s 6. The velocity profile for a thin film of a Newtonian fluid that is confined (4mm) between the plate and a fixed surface is defined by u (10y-0.25y') mm/s where y is in mm. Determine the force P that must be applied to the plate to cause this motion. TheExplanation / Answer
A) 160 acres = 647497.03 m^2
(1 acre = 4046.856 m^2)
B) 15 gallons = 56.78 litres
(1 US gallon = 3.785 litres)
C) 240 miles = 386242.56 meters
(1 miles = 1609.34 meters)
D) 79.1 hours = 284760 seconds
(1 hour = 3600 seconds)
E) 60.3 Fahrenheit = 15.722 degree Celsius
(32 degree Fahrenheit = 0 degree Celsius)
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