The voltage across a 5mH inductor is 5[1-exp(-0.5t)]V. Calculate the current through the inductor and the energy stored in the inductor at t=2 seconds

Amass of 1.5 kg of air at 120 kpa and 24°c is contained in a gas-tight, frictionless piston-cylinder device. the air is now compressed to a final pressure of 720 kpa. during the process, heat is transferred from the air such that the temperature inside the cylinder remains constant. calculate the boundary work input during this process.

Natural gas (95 percent methane and 5 percent ethane by volume) flows through a 90 cm diameter pipeline with a velocity of 3 m/s. the pressure in the pipeline is 700 kpa, and the temperature is 15°c. calculate: (a) the mass and volumetric flow rates in this pipe.

Abritle material made of astm grade 30 cast iron has ultimate strength in tension of 31 kpsi and altimate strength in compression of 109 kpsi and undergoes the following plane of stress te 20 lepst and ry10 kpsi (cw). a) using the 3d mohr's circle, find all three principal normal stresses. b) using the brittle-coulomb-mohr theory and modified-mohr theory. ind the factors of safety for the given plane of stress state.