Unformatted text preview: 530.231, Fall 2009 Homework No.1 1. A 7 m 3 container is filled with 600 kg of granite (density 2400 kg/m 3 ) and the rest of the volume is air with density 1.169 kg/m 3 . Find the mass of air and the overall (average) specific volume. 2. A 1.5 m 3 container is filled with 325 kg of granite stone, 275 kg dry sand and 0.5 m 3 of liquid 25°C water. Use properties from tables A.3 and A.4. Find the average specific volume and density of the masses when you exclude air mass and volume. 3. A 25-kg steel gas tank holds 450 L of liquid gasoline, having a density of 800 kg/m 3 . If the system is decelerated with 5 m/s 2 what is the needed force? 4. A piston/cylinder with cross sectional area of 0.05 m 2 has a piston mass of 250 kg resting on the stops, as shown in the figure below. With an outside atmospheric pressure of 101.325 kPa, what should the water pressure be to lift the piston? 5. A vertical hydraulic cylinder has a 100-mm diameter piston with hydraulic fluid inside the cylinder and an ambient pressure of 1 bar. Assuming standard gravity, find the piston mass that will create a pressure an ambient pressure of 1 bar....
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- Fall '09