been stuck on this one for a while..i\'m just not quite sure how tostart. A 110V

Question

been stuck on this one for a while..i'm just not quite sure how tostart.
A 110V motor produces 2.68 HP of mechanical power. If thismotor is %70 efficient in converting electrical power to mechanicalpower find a) the current in A drawn by the motor b) the total electrical energy in J used by this motor inrunning for 1 hr c) if electrical energy costs .088 dollars per kw-h, what doesit cost to run this motor for this time?
A 110V motor produces 2.68 HP of mechanical power. If thismotor is %70 efficient in converting electrical power to mechanicalpower find a) the current in A drawn by the motor b) the total electrical energy in J used by this motor inrunning for 1 hr c) if electrical energy costs .088 dollars per kw-h, what doesit cost to run this motor for this time?

Explanation / Answer

   Given   outputpower   Pout   =   2.68   HP                                                 =   2.68* 746                                                 =   1999.28   W    Efficiency       =   70%                            =   0.70    Inputvoltage   V   =   110   V    a.      =   Pout/ Pin       Inputpower   Pin   =   1999.28/ 0.70                                        =   2856.11   W          Currentdrawn   I   =   Pin/ V                                        =   2856.11/ 110                                        =   25.96   A    b.   Energyused   E   =   Pin* time                                     =   2856.11* 3600                                     =   1.028* 107   J    c.   1kW-h   =   3.60 *106   J          =>   E   =   1.028* 107 / 3.60 * 106                         =   2.856   kW-h          Cost ofrunning motor   =   E * rate                                                 =   2.856* 0.088                                                 =   0.251   dollar/h                         =   2.856   kW-h          Cost ofrunning motor   =   E * rate                                                 =   2.856* 0.088                                                 =   0.251   dollar/h

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