ME40 HW1 Solutions

ME40 HW1 Solutions - 1-66A gas contained in a vertical...

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Unformatted text preview: 1-66A gas contained in a vertical piston-cylinder device is pressurized by a spring and by the weight of the piston. The pressure of the gas is to be determined. Analysis Drawing the free body diagram of the piston and balancing the vertical forces yield springatmFWAPPA++=Thus, kPa123.4=×++=++=-2242springatmN/m1000kPa1m1035N60)m/skg)(9.81(4kPa)(95AFmgPP1-110A helium balloon tied to the ground carries 2 people. The acceleration of the balloon when it is first released is to be determined. AssumptionsThe weight of the cage and the ropes of the balloon is negligible. Properties The density of air is given to be ρ= 1.16 kg/m3. The density of helium gas is 1/7thof this. Analysis The buoyancy force acting on the balloon is N5958m/skg1N1)m)(523.6m/s)(9.81kg/m(1.16m523.6/3m)π(54/3r4π2323balloonair333=⋅=====VVgFBballoonρThe total mass is kg226.870286.8kg86.8)m(523.6kg/m71.16peopleHetotal33HeHe=×+=+====mmmmVρThe total weight is...
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ME40 HW1 Solutions - 1-66A gas contained in a vertical...

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