Given v1 = 45 sin(ωt + 28°) V and v2 = 50 cos(ωt – 30°) V. Determine the phase angle between the two sinusoids. Please report your answer so the magnitude is positive and all angles are in the range of negative 180 degrees to positive 180 degrees. The phase angle between v1 and v2 is:

Air is compressed isentropically from an initial state of 300 k and 101 kpa to a final temperature of 1000 k. determine the final pressure using the following approaches: (a) approximate analysis (using properties at the average temperature) (b) exact analysis

Air enters a horizontal, constant-diameter heating duct operating at steady state at 290 k, 1 bar, with a volumetric flow rate of 0.25 m°/s, and exits at 325 k, 0.95 bar. the flow area is 0.04 m2. assuming the ideal gas model with k = 1.4 for the air, determine (a) the velocity at the inlet and exit, each in m/s, and (c) the rate of heat transfer, in kw flow rate, in kg/s, (b) the mass kg 0.3

List and describe the attached tools in boxford cnc milling machine? and how many tools were used in your projects explain them?