been stuck on this one for a while..i\'m just not quite sure how tostart. A 110V
ID: 1667500 • Letter: B
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/hRelated Questions
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