1) It is known that a cubical object made of cast aluminum 0.256 m on a side con
ID: 1286547 • Letter: 1
Question
1) It is known that a cubical object made of cast aluminum 0.256 m on a side contains a hollow cavity also in the shape of a cube but of unknown dimensions. If the mass of the object is 44.6 kg, determine the length of each side of the interior cubical cavity. The density of aluminum is 2.70 X 106 Pa and drives the output plunger, which has a radius of 0.115 m. If the design of the dumping arrangement is such that the output plunger remains perpendicular to the floor of the dumpster, determine the torque the plunger creates about an axis at the end of the dumpster. Answer in Nm X 103kg/m3. Answer in m 2) A waste management company handles large dumpsters of construction debris. The sorting process starts by downloading the dumpster from the transport truck and then dumping its contents into a large hopper as shown below. The waste management plant uses a hydraulic cylinder arrangement to tilt the dumpster to the point that the force of gravity will empty the contents. The plant operator activates an electric pump that pumps hydraulic oil into the input piston at an absolute pressure of 4.40Explanation / Answer
Mass=volume*density
=(a3- a03)*d where a0 is the side of cavity
a03 =a3 - m/d
a03 =(0.256)3 - 44.6/2.70*103
a03 =2.5869*10-4 m3
a0 = 0.063718 m
2- torquedue to plunger will balance the weight of debris
F*2r = mg
hence torque = 4.40*106 *2*.115
=1012 kN-M
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