if the motor horsepower is 85 hp and the brake horsepower is 77.2 hp, what is the efficiency of the motor?

77% motor efficiency
91% motor efficiency
82% motor efficiency
69% motor efficiency

Question

if the motor horsepower is 85 hp and the brake horsepower is 77.2 hp, what is the efficiency of the motor?

77% motor efficiency
91% motor efficiency
82% motor efficiency
69% motor efficiency

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Motor Efficiency Formula" ], "current_concepts": [ "Motor Efficiency Formula", "Applied Math Calculations" ] } ## Identify the given values and efficiency formula $$ \begin{aligned} &\text{Motor Horsepower (Input Power)} = 85\text{ hp} \ &\text{Brake Horsepower (Output Power)} = 77.2\text{ hp} \ &\text{Efficiency } (\eta) = \frac{\text{Output Power}}{\text{Input Power}} \times 100\% \end{aligned} $$ ## Calculate the motor efficiency $$ \begin{aligned} &\eta = \frac{77.2}{85} \times 100\% \ &\eta \approx 0.9082 \times 100\% \ &\eta \approx 91\% \end{aligned} $$

77% motor efficiency

91% motor efficiency

82% motor efficiency

69% motor efficiency

{ "subject": "Natural Science", "question_type": "Multiple Choice", "knowledge_point": [ "Natural Science", "Physics", "Motor Efficiency Formula" ] }

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Question

Explanation:

Identify the given values and efficiency formula

Calculate the motor efficiency

Answer: