Determine a first-order ordinary differential equation to describe the rotating machine (consider viscous friction) as a dynamic system where the output is the angular velocity of the inertia J , , 2 w2 and the input is the motor torque, τ . Calculate the solution to this equation. Consider: τ = 1 N m, mm, mm, kg-m 2 /s, kg-m 2 /s, kg-m 2 r 5 , 1 = 2 r 00 2 = 5 b .01 1 = 0 b .1 2 = 0 J .0031 1 = 0 J 5 2 = 2 kg-m 2 . Plot the response of w (t) with three different initial conditions 2 w (0) 0, 3, 6 rad s

Ahouse has the following electrical appliance usage (1) single 40w lamp used for 4 hours per day (2) single 60w fan used for 12 hours per day (3) single 200w refrigerator that runs 24 hours per day with compressor run 12 hours and off 12 hours find the solar power inverter size in watt with correction factor of 1.25.

An electrical motor raises a 50kg load at a construct velencity .calculate the power of the motor, if it takes 40sec to raise the load through a height of 24m(take g =9.8n/g)

Air is to be cooled in the evaporator section of a refrigerator by passing it over a bank of 0.8-cm-outer-diameter and 0.4-m-long tubes inside which the refrigerant is evaporating at -20°c. air approaches the tube bank in the normal direction at 0°c and 1 atm with a mean velocity of 4 m/s. the tubes are arranged in-line with longitudinal and transverse pitches of sl- st 1.5 cm. there are 30 rows in the flow direction with 15 tubes in each row. determine (a) the refrigeration capacity of this system and (b) pressure drop across the tube bank. evaluate the air properties at an assumed mean temperature of -5°c and 1 atm. is this a good assumption?