for a home repair job you must turn the handle of a screwdriver 28 times.

part a
if you apply an average force of 12 n tangentially to the 3.0-cm-diameter handle, how much work have you done?
express your answer to two significant figures and include appropriate units.

part b
if you complete the job in 29 seconds, what was your average power output?
express your answer to two significant figures and include appropriate units.

Question

for a home repair job you must turn the handle of a screwdriver 28 times.

part a
if you apply an average force of 12 n tangentially to the 3.0-cm-diameter handle, how much work have you done?
express your answer to two significant figures and include appropriate units.

part b
if you complete the job in 29 seconds, what was your average power output?
express your answer to two significant figures and include appropriate units.

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Unit Conversion", "Mechanical Power" ], "new_concepts": [ "Rotational Work" ], "current_concepts": [ "Unit Conversion", "Mechanical Power", "Rotational Work" ] } ## Calculate work done in Part A $$ \begin{aligned} N &= 28 \ F &= 12\text{ N} \ d &= 3.0\text{ cm} = 0.030\text{ m} \ r &= \frac{d}{2} = 0.015\text{ m} \ \theta &= 2\pi N = 2\pi(28) = 56\pi\text{ rad} \ \tau &= F \cdot r = 12\text{ N} \cdot 0.015\text{ m} = 0.18\text{ N}\cdot\text{m} \ W &= \tau \cdot \theta = 0.18 \cdot 56\pi \approx 31.67\text{ J} \approx 32\text{ J} \end{aligned} $$ ## Calculate average power output in Part B $$ \begin{aligned} t &= 29\text{ s} \ P &= \frac{W}{t} = \frac{31.67\text{ J}}{29\text{ s}} \approx 1.092\text{ W} \approx 1.1\text{ W} \end{aligned} $$ ## Question 1 32 J ## Question 2 1.1 W { "subject": "Natural Science", "question_type": "Multi-part", "knowledge_point": [ "Natural Science", "Physics", "Rotational Work and Power" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate work done in Part A

Calculate average power output in Part B

Answer:

Question 1

Question 2