Problem Description:
The image shows a micrometer screw gauge, which is an instrument used to measure small distances with high precision. The task is to determine the total measurement indicated by the micrometer based on the given markings.
Key Components of the Micrometer:
1.
Main Scale (Fixed Scale): This scale is marked in millimeters and provides the whole millimeter readings.
2.
Thimble Scale (Rotating Scale): This scale is marked in divisions, where each division typically represents a fraction of a millimeter.
3.
Friction Stop: Helps in fine-tuning the measurement by providing a smooth rotation of the thimble.
4.
Spindle and Anvil: The object to be measured is placed between the spindle and the anvil.
Given Information from the Image:
-
Main Scale Reading: The main scale shows 23 whole millimeters uncovered.
-
Thimble Scale Reading: The thimble scale has 15 divisions uncovered, and it is mentioned that 15 divisions correspond to 0.15 millimeters.
-
Additional Precision: It is stated that no 0.50 millimeters are uncovered past the 23rd whole millimeter.
Step-by-Step Solution:
#### 1.
Main Scale Reading:
- The main scale shows 23 whole millimeters uncovered.
- Therefore, the main scale reading is:
\[
\text{Main Scale Reading} = 23 \, \text{mm}
\]
#### 2.
Thimble Scale Reading:
- The thimble scale has 15 divisions uncovered.
- Each division on the thimble scale corresponds to 0.01 millimeters (since 15 divisions = 0.15 mm).
- Therefore, the thimble scale reading is:
\[
\text{Thimble Scale Reading} = 15 \times 0.01 \, \text{mm} = 0.15 \, \text{mm}
\]
#### 3.
Additional Precision:
- The problem states that no 0.50 millimeters are uncovered past the 23rd whole millimeter. This implies there is no additional fractional part beyond what is already accounted for by the thimble scale.
- Therefore, this does not add any extra value to the measurement.
#### 4.
Total Measurement:
- The total measurement is the sum of the main scale reading and the thimble scale reading:
\[
\text{Total Measurement} = \text{Main Scale Reading} + \text{Thimble Scale Reading}
\]
\[
\text{Total Measurement} = 23 \, \text{mm} + 0.15 \, \text{mm} = 23.15 \, \text{mm}
\]
Final Answer:
\[
\boxed{23.15}
\]
Parent Tip: Review the logic above to help your child master the concept of micrometer reading worksheet.
