Reading of vernier scale and micrometer worksheet - Free Printable
Educational worksheet: Reading of vernier scale and micrometer worksheet. Download and print for classroom or home learning activities.
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Step-by-step solution for: Reading of vernier scale and micrometer worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Reading of vernier scale and micrometer worksheet
The task involves determining the length of an object measured using a vernier caliper (jangka sorong). The vernier caliper has two scales: the main scale and the vernier scale. To measure the length accurately, we need to read both scales and combine their readings.
1. Main Scale Reading (MSR): This is the reading on the main scale just before the zero mark of the vernier scale.
2. Vernier Scale Reading (VSR): Identify the vernier scale division that aligns perfectly with any division on the main scale. Multiply this division by the least count of the vernier caliper.
3. Least Count (LC): The least count is the smallest measurement that can be made using the vernier caliper. It is calculated as:
\[
\text{LC} = \frac{\text{Value of one main scale division}}{\text{Number of divisions on the vernier scale}}
\]
For most vernier calipers, the least count is \(0.1 \, \text{mm}\).
4. Total Reading: Add the main scale reading and the vernier scale reading:
\[
\text{Total Reading} = \text{MSR} + \text{VSR}
\]
#### a.
- Main Scale Reading (MSR): 1.0 cm
- Vernier Scale Reading (VSR): The 0th division on the vernier scale aligns with the main scale. So, VSR = 0 × 0.1 mm = 0.0 mm
- Total Reading: 1.0 cm + 0.0 mm = 1.00 cm
#### b.
- Main Scale Reading (MSR): 1.1 cm
- Vernier Scale Reading (VSR): The 0th division on the vernier scale aligns with the main scale. So, VSR = 0 × 0.1 mm = 0.0 mm
- Total Reading: 1.1 cm + 0.0 mm = 1.10 cm
#### c.
- Main Scale Reading (MSR): 1.2 cm
- Vernier Scale Reading (VSR): The 0th division on the vernier scale aligns with the main scale. So, VSR = 0 × 0.1 mm = 0.0 mm
- Total Reading: 1.2 cm + 0.0 mm = 1.20 cm
#### d.
- Main Scale Reading (MSR): 1.3 cm
- Vernier Scale Reading (VSR): The 0th division on the vernier scale aligns with the main scale. So, VSR = 0 × 0.1 mm = 0.0 mm
- Total Reading: 1.3 cm + 0.0 mm = 1.30 cm
#### e.
- Main Scale Reading (MSR): 1.4 cm
- Vernier Scale Reading (VSR): The 0th division on the vernier scale aligns with the main scale. So, VSR = 0 × 0.1 mm = 0.0 mm
- Total Reading: 1.4 cm + 0.0 mm = 1.40 cm
#### f.
- Main Scale Reading (MSR): 1.9 cm
- Vernier Scale Reading (VSR): The 0th division on the vernier scale aligns with the main scale. So, VSR = 0 × 0.1 mm = 0.0 mm
- Total Reading: 1.9 cm + 0.0 mm = 1.90 cm
#### g.
- Main Scale Reading (MSR): 1.0 cm
- Vernier Scale Reading (VSR): The 5th division on the vernier scale aligns with the main scale. So, VSR = 5 × 0.1 mm = 0.5 mm
- Total Reading: 1.0 cm + 0.5 mm = 1.05 cm
#### h.
- Main Scale Reading (MSR): 1.0 cm
- Vernier Scale Reading (VSR): The 1st division on the vernier scale aligns with the main scale. So, VSR = 1 × 0.1 mm = 0.1 mm
- Total Reading: 1.0 cm + 0.1 mm = 1.01 cm
#### i.
- Main Scale Reading (MSR): 1.1 cm
- Vernier Scale Reading (VSR): The 0th division on the vernier scale aligns with the main scale. So, VSR = 0 × 0.1 mm = 0.0 mm
- Total Reading: 1.1 cm + 0.0 mm = 1.10 cm
#### j.
- Main Scale Reading (MSR): 1.9 cm
- Vernier Scale Reading (VSR): The 8th division on the vernier scale aligns with the main scale. So, VSR = 8 × 0.1 mm = 0.8 mm
- Total Reading: 1.9 cm + 0.8 mm = 1.98 cm
\[
\boxed{
\begin{array}{ll}
a. & 1.00 \, \text{cm} \\
b. & 1.10 \, \text{cm} \\
c. & 1.20 \, \text{cm} \\
d. & 1.30 \, \text{cm} \\
e. & 1.40 \, \text{cm} \\
f. & 1.90 \, \text{cm} \\
g. & 1.05 \, \text{cm} \\
h. & 1.01 \, \text{cm} \\
i. & 1.10 \, \text{cm} \\
j. & 1.98 \, \text{cm} \\
\end{array}
}
\]
Steps to Read a Vernier Caliper:
1. Main Scale Reading (MSR): This is the reading on the main scale just before the zero mark of the vernier scale.
2. Vernier Scale Reading (VSR): Identify the vernier scale division that aligns perfectly with any division on the main scale. Multiply this division by the least count of the vernier caliper.
3. Least Count (LC): The least count is the smallest measurement that can be made using the vernier caliper. It is calculated as:
\[
\text{LC} = \frac{\text{Value of one main scale division}}{\text{Number of divisions on the vernier scale}}
\]
For most vernier calipers, the least count is \(0.1 \, \text{mm}\).
4. Total Reading: Add the main scale reading and the vernier scale reading:
\[
\text{Total Reading} = \text{MSR} + \text{VSR}
\]
Solution for Each Image:
#### a.
- Main Scale Reading (MSR): 1.0 cm
- Vernier Scale Reading (VSR): The 0th division on the vernier scale aligns with the main scale. So, VSR = 0 × 0.1 mm = 0.0 mm
- Total Reading: 1.0 cm + 0.0 mm = 1.00 cm
#### b.
- Main Scale Reading (MSR): 1.1 cm
- Vernier Scale Reading (VSR): The 0th division on the vernier scale aligns with the main scale. So, VSR = 0 × 0.1 mm = 0.0 mm
- Total Reading: 1.1 cm + 0.0 mm = 1.10 cm
#### c.
- Main Scale Reading (MSR): 1.2 cm
- Vernier Scale Reading (VSR): The 0th division on the vernier scale aligns with the main scale. So, VSR = 0 × 0.1 mm = 0.0 mm
- Total Reading: 1.2 cm + 0.0 mm = 1.20 cm
#### d.
- Main Scale Reading (MSR): 1.3 cm
- Vernier Scale Reading (VSR): The 0th division on the vernier scale aligns with the main scale. So, VSR = 0 × 0.1 mm = 0.0 mm
- Total Reading: 1.3 cm + 0.0 mm = 1.30 cm
#### e.
- Main Scale Reading (MSR): 1.4 cm
- Vernier Scale Reading (VSR): The 0th division on the vernier scale aligns with the main scale. So, VSR = 0 × 0.1 mm = 0.0 mm
- Total Reading: 1.4 cm + 0.0 mm = 1.40 cm
#### f.
- Main Scale Reading (MSR): 1.9 cm
- Vernier Scale Reading (VSR): The 0th division on the vernier scale aligns with the main scale. So, VSR = 0 × 0.1 mm = 0.0 mm
- Total Reading: 1.9 cm + 0.0 mm = 1.90 cm
#### g.
- Main Scale Reading (MSR): 1.0 cm
- Vernier Scale Reading (VSR): The 5th division on the vernier scale aligns with the main scale. So, VSR = 5 × 0.1 mm = 0.5 mm
- Total Reading: 1.0 cm + 0.5 mm = 1.05 cm
#### h.
- Main Scale Reading (MSR): 1.0 cm
- Vernier Scale Reading (VSR): The 1st division on the vernier scale aligns with the main scale. So, VSR = 1 × 0.1 mm = 0.1 mm
- Total Reading: 1.0 cm + 0.1 mm = 1.01 cm
#### i.
- Main Scale Reading (MSR): 1.1 cm
- Vernier Scale Reading (VSR): The 0th division on the vernier scale aligns with the main scale. So, VSR = 0 × 0.1 mm = 0.0 mm
- Total Reading: 1.1 cm + 0.0 mm = 1.10 cm
#### j.
- Main Scale Reading (MSR): 1.9 cm
- Vernier Scale Reading (VSR): The 8th division on the vernier scale aligns with the main scale. So, VSR = 8 × 0.1 mm = 0.8 mm
- Total Reading: 1.9 cm + 0.8 mm = 1.98 cm
Final Answers:
\[
\boxed{
\begin{array}{ll}
a. & 1.00 \, \text{cm} \\
b. & 1.10 \, \text{cm} \\
c. & 1.20 \, \text{cm} \\
d. & 1.30 \, \text{cm} \\
e. & 1.40 \, \text{cm} \\
f. & 1.90 \, \text{cm} \\
g. & 1.05 \, \text{cm} \\
h. & 1.01 \, \text{cm} \\
i. & 1.10 \, \text{cm} \\
j. & 1.98 \, \text{cm} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of dial caliper worksheet.