Periodic energy usage. the 168-vector w gives the hourly electricity consumption of a manufacturing plant, starting on sunday midnight to 1am, over one week, in mwh (megawatt-hours). the consumption pattern is the same each day, i. e., it is 24-periodic, which means that wt+24 = wt for t = . let d be the 24-vector that gives the energy consumption over one day, starting at midnight. (a) use vector notation to express w in terms of d.

Heat is added to a piston-cylinder device filled with 2 kg of air to raise its temperature 400 c from an initial temperature of t1 27 cand pressure of pi 1 mpa. the process is isobaric process. find a)-the final pressure p2 b)-the heat transfer to the air.

Two flowing streams of argon gas are adiabatically mixed to form a single flow/stream. one stream is 1.5 kg/s at 400 kpa and 200 c while the second stream is 2kg/s at 500 kpa and 100 ? . it is stated that the exit state of the mixed single flow of argon gas is 150 c and 300 kpa. assuming there is no work output or input during the mixing process, does this process violate either the first or the second law or both? explain and state all your assumptions.

Coiled springs ought to be very strong and stiff. si3n4 is a strong, stiff material. would you select this material for a spring? explain.