Suppose a 12 kw of power are supplied to a motor. if the brake horsepower is 14hp, what is the efficiency of the motor
SOLUTION:
Step 1: List the given values.
In the case of motors, the brake horsepower (bhp) is also the power output.
Note that 1 hp is equal to 745.7 W.
[tex]\begin{aligned} & P_{\text{in}} = \text{12 kW = 12,000 W} \\ & P_{\text{out}} = \text{14 hp = 10,439.8 W} \end{aligned}[/tex]
Step 2: Calculate the efficiency of the motor.
[tex]\begin{aligned} \eta & = \frac{P_{\text{out}}}{P_{\text{in}}} \times 100\% \\ & = \frac{\text{10,439.8 W}}{\text{12,000 W}} \times 100\% \\ & = \boxed{87.00\%} \end{aligned}[/tex]
Hence, the efficiency of the motor is 87.00%.
[tex]\\[/tex]
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