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The mechanical power output of an electric motor is 2.40 hp. The motor is
connected to a 120 V source and is 85.0% efficient in converting power that
it takes in by electrical transmission into mechanical power. Determine the
following.
(a) current (in A) delivered to the motor
| A
(b) energy (in MJ) delivered to the motor by electrical transmission in 3.10 h
of operation
MJ
(e) the cost to run the motor (in dollars) for 3.10 h, if the electric company
charges $0.110/kWh

Expert Solution

Step 1

Given Values,

The power output of the motor $(P_{0}) = 2.40 hp$

The voltage across the motor(V)=120 V

The efficiency of the motor $(η) = 85.0 %$

So, The power input is calculated as follows:

$P = P_{0} \times η P = 2.4 \times 100 / 85 = 2.82 hp P = 2.82 hp We know that, 1 hp = 746 W So, P = 2.82 ×746 W = 2103 W$

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