A 120-V motor has mechanical power output of 3.00 hp. It is 80.0% efficient inco

Question

A 120-V motor has mechanical power output of 3.00 hp. It is 80.0% efficient inconverting power that it takes in by electrical transmission intomechanical power. (a) Find the current in the motor.
A
(b) Find the energy delivered to the motor by electricaltransmission in 3.20 h ofoperation.
J
(c) If the electric company charges $0.160/kWh, what does it costto run the motor for 3.20 h?
$
(a) Find the current in the motor.
A
(b) Find the energy delivered to the motor by electricaltransmission in 3.20 h ofoperation.
J
(c) If the electric company charges $0.160/kWh, what does it costto run the motor for 3.20 h?
$

Explanation / Answer

voltage   V = 120 V power P = 3 hp 1 horse power = 735.5 W     3 h p     = 3 * 735.5W = 2206.5 W 1) current in the motor               I = P / V    = 2206.5  / 120     = 18.3875 A 2) energy delivered to the motor by electrical transmissionin 3.20 h                   E   = P t                        = 2206.5 * 3.2*60*60                        = 25.4188 MW 3) electric company charges $0.160/kWh              in   3.2 h   motor delivers 25.41 MW        0.16*103*25.41     cost to run the motor for 3.2 h         So   thecompany charges on motor for 3.2 h is 4065.6$

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