question 67 of 100 · multiple choice

how many foot-pounds of torque must be applied to a 3.5 to 1 multiplier to deliver 280 foot-pounds torque?

a 280 foot-pounds
b 100 psi
c 100 foot-pounds
d 80 foot-pounds

Question

question 67 of 100 · multiple choice

how many foot-pounds of torque must be applied to a 3.5 to 1 multiplier to deliver 280 foot-pounds torque?

a 280 foot-pounds
b 100 psi
c 100 foot-pounds
d 80 foot-pounds

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Ratios" ], "new_concepts": [ "Torque Multiplier Calculation" ], "current_concepts": [ "Ratios", "Torque Multiplier Calculation" ] } ## Identify the given values and relationship $$ \begin{aligned} &\text{Multiplier Ratio} = 3.5 : 1 \ &\text{Output Torque} = 280\text{ ft-lbs} \ &\text{Input Torque} = \frac{\text{Output Torque}}{\text{Multiplier Ratio}} \end{aligned} $$ ## Calculate the required input torque $$ \begin{aligned} &\text{Input Torque} = \frac{280}{3.5} = 80\text{ ft-lbs} \end{aligned} $$

(A) 280 foot-pounds

(B) 100 psi

(C) 100 foot-pounds

(D) 80 foot-pounds

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Ratios" ] }

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Question

Explanation:

Identify the given values and relationship

Calculate the required input torque

Answer: