Asingle pass cross-flow heat exchanger is used to cool jacket water (cp = 1.0 btu/lbm · °f) with inlet temperature of 100°f. both air flow and water flow are unmixed. if the water and air mass flow rates are 95,000 lbm/h and 450,000 lbm/hr, respectively, determine the log mean temperature difference for this heat exchanger.

Aturning operation is performed with following conditions: rake angle of 12°, a feed of 0.35 mm/rev, and a depth of cut of 1.1 mm. the work piece is aluminum alloy 6061 with t6 heat treatment (a16061-t6). the resultant chip thickness was measured to be 1.0 mm. estimate the cutting force, fc. use shear stress of 207 mpa and coefficient of friction on the tool face of 0.6.