Assuming this electric motor is a single-phase motor and it operates by using DC current, its mechanical power output would be given by:
W = ηIV
Making current (I) the subject of formula, we have:
I = ηV/W
Substituting the given parameters into the formula, we have;
I = (2.50 × 0.746 × 1000)/(0.9 × 120)
I = 1,865/108
Current, I = 17.27 Ampere.
For the energy delivered to this motor, we have:
First of all, we would determine the power delivered to this motor as follows:
Power, P = IV
Power, P = 17.27 × 120
Power, P = 2,072.4 Watt.
Therefore, the energy delivered to this motor in 3.00 hours is given by:
Energy = power × time
Energy = 2,072.4 × 3.00 × 3,600 × 1/1000000
Energy = 22.38 Megajoules.
At $0.110/kWh, the cost to run the motor for 3.00 hours is given by:
Cost = 0.110 × 22.38 × 0.278
Cost = $0.684.
Read more on energy here: https://brainly.com/question/15567897
#SPJ4
Complete Question:
A 120-V motor has mechanical power output of 2.50 hp. It is 90.0% efficient in converting power that it takes in by electrical transmission into mechanical power.
(a) Find the current in the motor.
(b) Find the energy delivered to the motor by electrical transmission in 3.00 h of operation.
(c) If the electric company charges $0.110/kWh, what does it cost to run the motor for 3.00 h?
