To determine the reading on the micrometer screw gauge shown in the image, we need to carefully analyze the scale and markings. Let's break it down step by step:
---
Step 1: Understand the Components of a Micrometer Screw Gauge
A micrometer screw gauge typically consists of:
1.
Main Scale (Fixed Scale): This is the linear scale along the sleeve.
2.
Circular Scale (Rotary Scale): This is the rotating scale on the thimble.
The reading is obtained by combining the main scale reading and the circular scale reading.
---
Step 2: Identify the Main Scale Reading
- The main scale is the linear scale along the sleeve.
- In the image, the main scale has markings from 0 to 15.
- The reference line (on the thimble) aligns with the main scale between
10 and
11.
- Therefore, the
main scale reading is
10.0 mm.
---
Step 3: Identify the Circular Scale Reading
- The circular scale is the rotating scale on the thimble.
- Each division on the circular scale represents a fraction of a millimeter.
- From the image, the circular scale has 50 divisions (common for micrometers).
- The least count (LC) of the micrometer is calculated as:
\[
\text{Least Count (LC)} = \frac{\text{Pitch}}{\text{Number of divisions on circular scale}}
\]
Here, the pitch (distance moved by the spindle per full rotation) is
0.5 mm (standard for micrometers), and there are
50 divisions on the circular scale.
\[
\text{LC} = \frac{0.5}{50} = 0.01 \, \text{mm}
\]
- Now, observe which division on the circular scale aligns with the reference line on the sleeve.
- In the image, the reference line aligns with the
10th division on the circular scale.
- Therefore, the
circular scale reading is:
\[
10 \times 0.01 = 0.10 \, \text{mm}
\]
---
Step 4: Combine the Readings
The total reading is the sum of the main scale reading and the circular scale reading:
\[
\text{Total Reading} = \text{Main Scale Reading} + \text{Circular Scale Reading}
\]
\[
\text{Total Reading} = 10.0 \, \text{mm} + 0.10 \, \text{mm} = 10.10 \, \text{mm}
\]
---
Final Answer
\[
\boxed{10.10}
\]
Parent Tip: Review the logic above to help your child master the concept of micrometer reading worksheet.
