50 Pts) A factory has the following loads connected to its 480 V, 60 Hz line: • A large induction motor uses 147.3 KW of power at power factor of 0.773 lagging. • A 62 KVAR capacitor • A lighting load of 21 kW. Draw a power triangle for each device. Draw a power triangle for the entire factory. Calculate the current flow in the power line feeding the factory. Show your calculations of P, Q and S.

Amixture of slurry and mud is to be pumped through a horizontal pipe of diameter 500 mm. the fluid behaves as a bingham plastic with a yield stress of 30 pa and viscosity 0.04 pa.s. describe the effects of the shear stress through a transverse section of the pipe by plotting the variation in shear stress and velocity profile: (i) just before the slurry starts to move (ii) as the slurry flows when the pressure gradient is double that in part (i)