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:

Liquid flows at steady state at a rate of 2 lb/'s through a pump, which operates to raise the elevation of the liquid 100 ft from control volume inlet to exit. the liquid specific enthalpy at the inlet is 40.09 btu/lb and at the exit is 40.94 btub. the pump requires 3 btu/s of power to operate. if kinetic energy effects are negligible and gravitational acceleration is 32.174 tt/s, the heat transfer rate associated with this steady state process is most closely 1)-2,02 btu/s from the liquid to the surroundings 2)-3.98 btu/s from the surroundings to the liquid. 3)-4.96 btu/s from the surroundings to the liquid. 4)-1.04 btu/s from the liquid to the surroundings.