Concept explainers
An electric motor, which has 95 percent efficiency, uses 20 A at 110 V. What is the horsepower output of the motor? How many watts are lost in thermal energy? How many calories of thermal energy are developed per second? If the motor operates for 3.0 h, what energy, in MJ and in kW • h, is dissipated?
The horsepower output of the motor, which is
Answer to Problem 28SP
Solution:
Explanation of Solution
Given Data:
The efficiency of the motor is
The current supplied is
The voltage supplied is
Formula used:
The expression of electrical power is written as,
Here,
The expression of converting power from
Here,
The expression of converting power from
Here,
The expression of energy is written as,
Here,
The expression of converting power from
Here,
Explanation:
Recall the expression of power input.
Here,
Substitute
Understand that the motor is
Recall the expression of power input.
Here,
Substitute
Recall the expression to convert the power from
Substitute
The power output of the motor is
Understand that the amount of loss in thermal energy is the loss of energy from the input to the output.
The expression of loss thermal energy in
Here,
Substitute
The loss thermal energy in
Understand that the due to energy balance, the amount of energy loss is equal to the energy developed.
Recall the expression of converting power from
Substitute
The calories developed per second is
Recall the expression of energy.
Substitute
Recall the expression of converting
Substitute
The energy dissipated if the motor works for
Conclusion:
Therefore, the power output of the motor is
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Chapter 27 Solutions
College Physics
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