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Formula Sheet Quiz #4.pdf - Mechanical Engineering...

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Mechanical Engineering DepartmentME 341BelangerSpring 2021Formula Sheet Quiz #4Units:Force:1𝑁𝑁= (1π‘˜π‘˜π‘˜π‘˜)(1π‘šπ‘šπ‘ π‘ 2),1𝑙𝑙𝑙𝑙𝑙𝑙= (1π‘ π‘ π‘™π‘™π‘ π‘ π‘˜π‘˜)(1𝑓𝑓𝑓𝑓𝑠𝑠2),1𝑙𝑙𝑙𝑙𝑙𝑙= (1𝑙𝑙𝑙𝑙𝑙𝑙)οΏ½32.2𝑓𝑓𝑓𝑓𝑠𝑠2οΏ½ π‘˜π‘˜π‘π‘οΏ½whereπ‘˜π‘˜π‘π‘=32.2𝑙𝑙𝑙𝑙𝑙𝑙𝑙𝑙𝑙𝑙𝑠𝑠2𝑙𝑙𝑙𝑙𝑓𝑓,π‘˜π‘˜= 9.81π‘šπ‘šπ‘ π‘ 2= 32.2𝑓𝑓𝑓𝑓𝑠𝑠2,1π‘ π‘ π‘™π‘™π‘ π‘ π‘˜π‘˜= 32.2𝑙𝑙𝑙𝑙𝑙𝑙Volume:1𝑙𝑙𝑓𝑓3= 7.48π‘˜π‘˜π‘”π‘”π‘™π‘™,1𝑙𝑙3= 1000𝐿𝐿,1𝑙𝑙𝑓𝑓3= 28.3𝐿𝐿Pressure:1𝑔𝑔𝑓𝑓𝑙𝑙= 101.3π‘˜π‘˜π‘˜π‘˜π‘”π‘”= 14.7𝑝𝑝𝑠𝑠𝑝𝑝,1π‘˜π‘˜π‘”π‘”= 1𝑁𝑁/𝑙𝑙2Energy/Power:1π‘Šπ‘Š= 1𝐽𝐽𝑠𝑠= 1π‘π‘π‘šπ‘šπ‘ π‘ ,1𝐡𝐡𝐡𝐡𝐡𝐡= 778.17𝑙𝑙𝑓𝑓𝑙𝑙𝑙𝑙𝑙𝑙,1β„Žπ‘π‘= 550𝑓𝑓𝑓𝑓𝑙𝑙𝑙𝑙𝑓𝑓𝑠𝑠Specific Gravity:𝑆𝑆𝑆𝑆=πœŒπœŒπœŒπœŒπ‘Šπ‘Šπ‘Šπ‘Šπ‘™π‘™π‘Šπ‘Šπ‘Šπ‘Š, (πœŒπœŒπ‘Šπ‘Šπ‘Šπ‘Šπ‘“π‘“π‘Šπ‘Šπ‘Šπ‘Š= 1000π‘˜π‘˜π‘˜π‘˜π‘šπ‘š3= 1.94π‘ π‘ π‘™π‘™π‘ π‘ π‘˜π‘˜π‘“π‘“π‘“π‘“3)Specific Weight:𝛾𝛾=πœŒπœŒπ‘˜π‘˜Ideal Gas Law:π‘˜π‘˜π‘ƒπ‘ƒ=π‘™π‘™π‘šπ‘šπ΅π΅,orπ‘˜π‘˜π‘ƒπ‘ƒ=π‘šπ‘šπ΅π΅,orπ‘˜π‘˜=πœŒπœŒπ‘šπ‘šπ΅π΅,Viscosity:Shear Stress:𝜏𝜏=πœ‡πœ‡π‘‘π‘‘π‘ π‘ π‘‘π‘‘π‘‘π‘‘Kinematic Viscosity:𝜈𝜈=πœ‡πœ‡πœŒπœŒStreamline and Pathline Equations:Streamline:𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑)π‘ π‘ π‘“π‘“π‘Šπ‘Šπ‘Šπ‘Šπ‘Šπ‘Šπ‘šπ‘šπ‘™π‘™π‘ π‘ π‘ π‘ π‘Šπ‘Š=𝑣𝑣(𝑑𝑑,𝑑𝑑,𝑓𝑓)𝑠𝑠(𝑑𝑑,𝑑𝑑,𝑓𝑓)Pathline:𝑠𝑠(π‘₯π‘₯,𝑦𝑦,𝑓𝑓) =𝑑𝑑𝑑𝑑𝑑𝑑𝑓𝑓)π‘π‘π‘Šπ‘Šπ‘Šπ‘Šπ‘“π‘“π‘ π‘ π‘π‘π‘™π‘™π‘Šπ‘Š,𝑃𝑃(π‘₯π‘₯,𝑦𝑦,𝑓𝑓) =𝑑𝑑𝑑𝑑𝑑𝑑𝑓𝑓)π‘π‘π‘Šπ‘Šπ‘Šπ‘Šπ‘“π‘“π‘ π‘ π‘π‘π‘™π‘™π‘Šπ‘ŠGage pressure:π‘˜π‘˜π‘˜π‘˜π‘Šπ‘Šπ‘˜π‘˜π‘Šπ‘Š=π‘˜π‘˜π‘Šπ‘Šπ‘™π‘™π‘ π‘ βˆ’ π‘˜π‘˜π‘Šπ‘Šπ‘“π‘“π‘šπ‘šπ‘˜π‘˜π‘£π‘£π‘Šπ‘Šπ‘π‘=π‘˜π‘˜π‘Šπ‘Šπ‘“π‘“π‘šπ‘šβˆ’ π‘˜π‘˜π‘Šπ‘Šπ‘™π‘™π‘ π‘ Hydrostatics:Hydrostatic Equation:βˆ’βˆ‡π‘˜π‘˜+πœŒπœŒπ‘˜π‘˜βƒ—= 0

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Fluid Dynamics, Mechanical Engineering Department, Belanger

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