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

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Mechanical Engineering DepartmentME 341BelangerSpring 2021Formula Sheet Quiz #4Units:Force:1𝑁𝑁= (1𝑘𝑘𝑘𝑘)(1𝑚𝑚𝑠𝑠2),1𝑙𝑙𝑙𝑙𝑙𝑙= (1𝑠𝑠𝑙𝑙𝑠𝑠𝑘𝑘)(1𝑓𝑓𝑓𝑓𝑠𝑠2),1𝑙𝑙𝑙𝑙𝑙𝑙= (1𝑙𝑙𝑙𝑙𝑙𝑙)32.2𝑓𝑓𝑓𝑓𝑠𝑠2� 𝑘𝑘𝑐𝑐where𝑘𝑘𝑐𝑐=32.2𝑙𝑙𝑙𝑙𝑙𝑙𝑙𝑙𝑙𝑙𝑠𝑠2𝑙𝑙𝑙𝑙𝑓𝑓,𝑘𝑘= 9.81𝑚𝑚𝑠𝑠2= 32.2𝑓𝑓𝑓𝑓𝑠𝑠2,1𝑠𝑠𝑙𝑙𝑠𝑠𝑘𝑘= 32.2𝑙𝑙𝑙𝑙𝑙𝑙Volume:1𝑙𝑙𝑓𝑓3= 7.48𝑘𝑘𝑔𝑔𝑙𝑙,1𝑙𝑙3= 1000𝐿𝐿,1𝑙𝑙𝑓𝑓3= 28.3𝐿𝐿Pressure:1𝑔𝑔𝑓𝑓𝑙𝑙= 101.3𝑘𝑘𝑘𝑘𝑔𝑔= 14.7𝑝𝑝𝑠𝑠𝑝𝑝,1𝑘𝑘𝑔𝑔= 1𝑁𝑁/𝑙𝑙2Energy/Power:1𝑊𝑊= 1𝐽𝐽𝑠𝑠= 1𝑁𝑁𝑚𝑚𝑠𝑠,1𝐵𝐵𝐵𝐵𝐵𝐵= 778.17𝑙𝑙𝑓𝑓𝑙𝑙𝑙𝑙𝑙𝑙,1ℎ𝑝𝑝= 550𝑓𝑓𝑓𝑓𝑙𝑙𝑙𝑙𝑓𝑓𝑠𝑠Specific Gravity:𝑆𝑆𝑆𝑆=𝜌𝜌𝜌𝜌𝑊𝑊𝑊𝑊𝑙𝑙𝑊𝑊𝑊𝑊, (𝜌𝜌𝑊𝑊𝑊𝑊𝑓𝑓𝑊𝑊𝑊𝑊= 1000𝑘𝑘𝑘𝑘𝑚𝑚3= 1.94𝑠𝑠𝑙𝑙𝑠𝑠𝑘𝑘𝑓𝑓𝑓𝑓3)Specific Weight:𝛾𝛾=𝜌𝜌𝑘𝑘Ideal Gas Law:𝑘𝑘𝑃𝑃=𝑙𝑙𝑚𝑚𝐵𝐵,or𝑘𝑘𝑃𝑃=𝑚𝑚𝐵𝐵,or𝑘𝑘=𝜌𝜌𝑚𝑚𝐵𝐵,Viscosity:Shear Stress:𝜏𝜏=𝜇𝜇𝑑𝑑𝑠𝑠𝑑𝑑𝑑𝑑Kinematic Viscosity:𝜈𝜈=𝜇𝜇𝜌𝜌Streamline and Pathline Equations:Streamline:𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑)𝑠𝑠𝑓𝑓𝑊𝑊𝑊𝑊𝑊𝑊𝑚𝑚𝑙𝑙𝑠𝑠𝑠𝑠𝑊𝑊=𝑣𝑣(𝑑𝑑,𝑑𝑑,𝑓𝑓)𝑠𝑠(𝑑𝑑,𝑑𝑑,𝑓𝑓)Pathline:𝑠𝑠(𝑥𝑥,𝑦𝑦,𝑓𝑓) =𝑑𝑑𝑑𝑑𝑑𝑑𝑓𝑓)𝑝𝑝𝑊𝑊𝑊𝑊𝑓𝑓𝑠𝑠𝑐𝑐𝑙𝑙𝑊𝑊,𝑃𝑃(𝑥𝑥,𝑦𝑦,𝑓𝑓) =𝑑𝑑𝑑𝑑𝑑𝑑𝑓𝑓)𝑝𝑝𝑊𝑊𝑊𝑊𝑓𝑓𝑠𝑠𝑐𝑐𝑙𝑙𝑊𝑊Gage pressure:𝑘𝑘𝑘𝑘𝑊𝑊𝑘𝑘𝑊𝑊=𝑘𝑘𝑊𝑊𝑙𝑙𝑠𝑠− 𝑘𝑘𝑊𝑊𝑓𝑓𝑚𝑚𝑘𝑘𝑣𝑣𝑊𝑊𝑐𝑐=𝑘𝑘𝑊𝑊𝑓𝑓𝑚𝑚− 𝑘𝑘𝑊𝑊𝑙𝑙𝑠𝑠Hydrostatics:Hydrostatic Equation:−∇𝑘𝑘+𝜌𝜌𝑘𝑘= 0

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Mechanical Engineering Department, Belanger