The torque wrench ABC is used to measure the moment or torque applied to a bolt when the bolt is located at A and a force is applied to the handle at C. The mechanic reads the torque on the scale at B. (Figure 1)

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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**Title: Understanding Torque Wrench Measurements**

**Introduction:**
The torque wrench \( ABC \) is an essential tool used for measuring the moment, or torque, applied to a bolt. This is crucial when the bolt is located at point \( A \) and force is exerted on the handle at point \( C \). The torque reading is crucially taken on the scale at point \( B \).

**Figure Details:**
The accompanying diagram illustrates the torque wrench \( ABC \). 
- **O** represents the point where an extension \( AO \) is attached.
- **A** indicates the starting point of the bolt.
- **B** is where the torque scale reading is observed.
- **C** is where force \( F \) is applied by the user.
- The distance from \( A \) to \( O \) is denoted as \( d \), and from \( A \) to \( B \) as \( l \).

**Task Explanation:**
In the scenario provided, if an extension \( AO \) of length \( d \) is employed, determine the necessary scale reading to achieve the desired torque \( M \) at bolt \( O \). The requested answer should be articulated using the variables \( d \), \( l \), and \( M \).

**Your Calculation:**
A formula input area is provided for your calculations. An example response is:
\[ m = \frac{M \cdot l}{(d + l)} \]

**Feedback Section:**
Attempting the solution with the formula above resulted in an incorrect answer—5 attempts remain to correct the approach.

**Instructions:**
Utilize the provided feedback and instructional resources to refine your understanding and calculation for the correct application of variables \( d \), \( l \), and \( M \) in achieving the desired torque objective.
Transcribed Image Text:**Title: Understanding Torque Wrench Measurements** **Introduction:** The torque wrench \( ABC \) is an essential tool used for measuring the moment, or torque, applied to a bolt. This is crucial when the bolt is located at point \( A \) and force is exerted on the handle at point \( C \). The torque reading is crucially taken on the scale at point \( B \). **Figure Details:** The accompanying diagram illustrates the torque wrench \( ABC \). - **O** represents the point where an extension \( AO \) is attached. - **A** indicates the starting point of the bolt. - **B** is where the torque scale reading is observed. - **C** is where force \( F \) is applied by the user. - The distance from \( A \) to \( O \) is denoted as \( d \), and from \( A \) to \( B \) as \( l \). **Task Explanation:** In the scenario provided, if an extension \( AO \) of length \( d \) is employed, determine the necessary scale reading to achieve the desired torque \( M \) at bolt \( O \). The requested answer should be articulated using the variables \( d \), \( l \), and \( M \). **Your Calculation:** A formula input area is provided for your calculations. An example response is: \[ m = \frac{M \cdot l}{(d + l)} \] **Feedback Section:** Attempting the solution with the formula above resulted in an incorrect answer—5 attempts remain to correct the approach. **Instructions:** Utilize the provided feedback and instructional resources to refine your understanding and calculation for the correct application of variables \( d \), \( l \), and \( M \) in achieving the desired torque objective.
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