a total of 60 hp is supplied to a motor. if the wire-to-water efficiency of the pump and motor is 69%, what will the water horsepower be?

41 whp
55 whp
59 whp
48 whp

Question

a total of 60 hp is supplied to a motor. if the wire-to-water efficiency of the pump and motor is 69%, what will the water horsepower be?

41 whp
55 whp
59 whp
48 whp

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Applied Math Calculations" ], "new_concepts": [ "Wire-to-Water Efficiency", "Water Horsepower Calculation" ], "current_concepts": [ "Applied Math Calculations", "Wire-to-Water Efficiency", "Water Horsepower Calculation" ] } ## Identify the given values and formula $$ \begin{aligned} &\text{Motor Horsepower (Power Input)} = 60\text{ hp} \ &\text{Wire-to-Water Efficiency } (\eta) = 69\% = 0.69 \ &\text{Water Horsepower (WHP)} = \text{Motor Horsepower} \times \eta \end{aligned} $$ ## Calculate the water horsepower $$ \begin{aligned} \text{WHP} &= 60 \times 0.69 \ \text{WHP} &= 41.4\text{ WHP} \approx 41\text{ WHP} \end{aligned} $$

(A) 41 WHP

(B) 55 WHP

(C) 59 WHP

(D) 48 WHP

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Applied Math Calculations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the given values and formula

Calculate the water horsepower

Answer: