pulling a weed the gardening tool shown in the figure (figure 1) is used to pull weeds.

part a

if a $1.35\text{ n}\cdot\text{m}$ torque is required to pull a given weed, what force did the weed exert on the tool?
express your answer using two significant figures.

Question

pulling a weed the gardening tool shown in the figure (figure 1) is used to pull weeds.

part a

if a $1.35\text{ n}\cdot\text{m}$ torque is required to pull a given weed, what force did the weed exert on the tool?
express your answer using two significant figures.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Torque", "Lever Arm", "Static Equilibrium" ], "current_concepts": [ "Torque", "Lever Arm", "Static Equilibrium" ] } ## Identify given values and target unknown $$ \begin{aligned} &\tau = 1.35\text{ N}\cdot\text{m}\ &d = 4.0\text{ cm} = 0.040\text{ m}\ &F_{\text{weed}} = \text{?} \end{aligned} $$ ## Relate torque, force, and lever arm $$ \begin{aligned} &\tau = F_{\text{weed}} \cdot d\ &F_{\text{weed}} = \frac{\tau}{d} \end{aligned} $$ ## Calculate the force $$ \begin{aligned} &F_{\text{weed}} = \frac{1.35\text{ N}\cdot\text{m}}{0.040\text{ m}} = 33.75\text{ N} \approx 34\text{ N} \end{aligned} $$ If a $1.35\text{ N}\cdot\text{m}$ torque is required to pull a given weed, what force did the weed exert on the tool? Express your answer using two significant figures. $F_{\text{weed}} =$ $34$ $\text{N}$ { "subject": "Natural Science", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Natural Science", "Physics", "Torque and Rotational Statics" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify given values and target unknown

Relate torque, force, and lever arm

Calculate the force

Answer: