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12) An electric motor has a 1.8 kW input and an efficiency of 88% What is the motor's output? a) 1.12 kW b) 160 W c) 1.6 kw d) 160 kW

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12) An electric motor has a 1.8 kW input and an efficiency of 88% What is the motor's output? a) 1.12 kW b) 160 W c) 1.6 kw d) 160 kW

12) An electric motor has a 1.8 kW input and an efficiency of 88% What is the motor's output? a) 1.12 kW b) 160 W c) 1.6 kw d) 160 kW

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JuddElite · Tutor for 8 years

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c) \( 1.6 \ kW \)

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## Step1:<br />The efficiency of a motor is given as the ratio of the output power to the input power.<br /><br />### \[\text{Efficiency} = \frac{\text{Output Power}}{\text{Input Power}} \]<br /><br />## Step2:<br />From the given question, we know that the motor's input power is 1.8 kW, and its efficiency is 88%, which is represented as 0.88. <br /><br />## Step3: <br />To find out the motor's output power (Output Power), we can rearrange the formula by cross multiplication, as follows:<br /><br />### \[ \text{Output Power} = \text{Efficiency} \times \text{Input Power}\]<br /><br />## Step4: <br />Substituting the known values into this equation gives:<br /><br />###\[\text{Output Power} = 0.88 \times 1.8kW\]<br />###\[= 1.584 kW\]<br /> <br />## Step5: <br /><br />Finally, we need to round our calculation to give a clearer interpretation. We get 1.584 kW, which when rounded to the nearest two decimal places, comes out to be 1.58 kW or we can say it is approximately equal to 1.6 kW.
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