MICROMETER-READING EXERCISE - 14310_67 - Free Printable
Educational worksheet: MICROMETER-READING EXERCISE - 14310_67. Download and print for classroom or home learning activities.
JPG
249×300
9.5 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1130910
⭐
Show Answer Key & Explanations
Step-by-step solution for: MICROMETER-READING EXERCISE - 14310_67
▼
Show Answer Key & Explanations
Step-by-step solution for: MICROMETER-READING EXERCISE - 14310_67
To solve the problem, we need to determine the correct reading from the micrometer shown in the image. The micrometer consists of two scales: the sleeve scale and the thimble scale. Let's break down the process step by step.
---
1. Sleeve Scale (Coarse Scale):
- This scale is marked with larger divisions, typically in millimeters.
- Each division on the sleeve scale represents a certain increment (e.g., 0.5 mm or 1 mm).
2. Thimble Scale (Fine Scale):
- This scale is marked with smaller divisions, typically in fractions of a millimeter.
- Each division on the thimble scale represents a finer increment (e.g., 0.01 mm or 0.001 mm).
3. Reading Process:
- First, read the value from the sleeve scale.
- Then, read the value from the thimble scale.
- Add these two values together to get the total measurement.
---
From the image:
- Sleeve Scale: The sleeve scale shows a value between 3 and 4. The exact value is determined by the alignment of the thimble scale with the sleeve scale.
- Thimble Scale: The thimble scale has markings that are aligned with the sleeve scale. The specific marking indicates the fine adjustment.
---
The sleeve scale shows a value just past 3. Specifically, the line on the thimble scale aligns with the 3 mark on the sleeve scale. Therefore, the sleeve scale reading is:
\[
3.000 \, \text{mm}
\]
---
The thimble scale has markings that are evenly spaced. Each division on the thimble scale represents a fraction of a millimeter. From the image:
- The thimble scale has 50 divisions per full rotation.
- Each division represents \( \frac{0.5 \, \text{mm}}{50} = 0.01 \, \text{mm} \).
The thimble scale is aligned with the 20th division. Therefore, the thimble scale reading is:
\[
20 \times 0.01 \, \text{mm} = 0.200 \, \text{mm}
\]
---
Add the sleeve scale reading and the thimble scale reading:
\[
3.000 \, \text{mm} + 0.200 \, \text{mm} = 3.200 \, \text{mm}
\]
---
The options provided are:
\[
A) \begin{cases}
0.300 \\
0.025 \\
0.015 \\
0.030
\end{cases}
\quad
B) \begin{cases}
0.300 \\
0.025 \\
0.007 \\
3.397
\end{cases}
\]
The correct reading, \( 3.200 \, \text{mm} \), does not directly match any of the given options. However, if we consider the structure of the options, it seems there might be a misalignment or misunderstanding in the question's format. Based on the standard micrometer reading process, the closest matching option would be:
\[
\boxed{B}
\]
This is because the structure of option \( B \) includes a value close to our calculated result (\( 3.397 \, \text{mm} \)), though it is not an exact match. If the question intended a different format or had a typo, further clarification might be needed. Nonetheless, based on the provided options, \( B \) is the most reasonable choice.
---
Step 1: Understand the Micrometer Scales
1. Sleeve Scale (Coarse Scale):
- This scale is marked with larger divisions, typically in millimeters.
- Each division on the sleeve scale represents a certain increment (e.g., 0.5 mm or 1 mm).
2. Thimble Scale (Fine Scale):
- This scale is marked with smaller divisions, typically in fractions of a millimeter.
- Each division on the thimble scale represents a finer increment (e.g., 0.01 mm or 0.001 mm).
3. Reading Process:
- First, read the value from the sleeve scale.
- Then, read the value from the thimble scale.
- Add these two values together to get the total measurement.
---
Step 2: Analyze the Given Image
From the image:
- Sleeve Scale: The sleeve scale shows a value between 3 and 4. The exact value is determined by the alignment of the thimble scale with the sleeve scale.
- Thimble Scale: The thimble scale has markings that are aligned with the sleeve scale. The specific marking indicates the fine adjustment.
---
Step 3: Read the Sleeve Scale
The sleeve scale shows a value just past 3. Specifically, the line on the thimble scale aligns with the 3 mark on the sleeve scale. Therefore, the sleeve scale reading is:
\[
3.000 \, \text{mm}
\]
---
Step 4: Read the Thimble Scale
The thimble scale has markings that are evenly spaced. Each division on the thimble scale represents a fraction of a millimeter. From the image:
- The thimble scale has 50 divisions per full rotation.
- Each division represents \( \frac{0.5 \, \text{mm}}{50} = 0.01 \, \text{mm} \).
The thimble scale is aligned with the 20th division. Therefore, the thimble scale reading is:
\[
20 \times 0.01 \, \text{mm} = 0.200 \, \text{mm}
\]
---
Step 5: Combine the Readings
Add the sleeve scale reading and the thimble scale reading:
\[
3.000 \, \text{mm} + 0.200 \, \text{mm} = 3.200 \, \text{mm}
\]
---
Step 6: Match the Answer with the Options
The options provided are:
\[
A) \begin{cases}
0.300 \\
0.025 \\
0.015 \\
0.030
\end{cases}
\quad
B) \begin{cases}
0.300 \\
0.025 \\
0.007 \\
3.397
\end{cases}
\]
The correct reading, \( 3.200 \, \text{mm} \), does not directly match any of the given options. However, if we consider the structure of the options, it seems there might be a misalignment or misunderstanding in the question's format. Based on the standard micrometer reading process, the closest matching option would be:
\[
\boxed{B}
\]
This is because the structure of option \( B \) includes a value close to our calculated result (\( 3.397 \, \text{mm} \)), though it is not an exact match. If the question intended a different format or had a typo, further clarification might be needed. Nonetheless, based on the provided options, \( B \) is the most reasonable choice.
Parent Tip: Review the logic above to help your child master the concept of micrometer reading worksheet.
