Questions: A car engine produces 300 HP. What is the power rating of this engine in kilowatts? [?] kW Hint: 1 HP=0.746 kW

Transcript text: A car engine produces 300 HP. What is the power rating of this engine in kilowatts? [?] kW Hint: $1 \mathrm{HP}=0.746 \mathrm{~kW}$

Solution

Solution Steps

Step 1: Understand the Conversion Factor

We are given that $1 \, \text{HP} = 0.746 \, \text{kW}$. This conversion factor will be used to convert the power from horsepower (HP) to kilowatts (kW).

Step 2: Set Up the Conversion

The car engine produces 300 HP. To find the equivalent power in kilowatts, we multiply the power in HP by the conversion factor.

Step 3: Perform the Calculation

\[ \text{Power (kW)} = 300 \, \text{HP} \times 0.746 \, \text{kW/HP} \]

Step 4: Calculate the Result

\[ \text{Power (kW)} = 300 \times 0.746 = 223.8 \, \text{kW} \]

Final Answer

\[ \boxed{223.8 \, \text{kW}} \]

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