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Step-by-step solution for: Solved METRIC VERNIER READING EXERCISES METRIC MICROMETER | Chegg.com
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Step-by-step solution for: Solved METRIC VERNIER READING EXERCISES METRIC MICROMETER | Chegg.com
To solve the Metric Vernier Caliper Reading Exercises, we need to understand how to read a metric vernier caliper. A vernier caliper has two scales:
1. Main Scale (in mm) – reads whole millimeters.
2. Vernier Scale (in 0.02 mm increments) – provides finer precision.
---
1. Read the main scale:
- Look at the last whole millimeter mark before the zero of the vernier scale.
- This gives you the main reading in mm.
2. Find the vernier scale alignment:
- Find which line on the vernier scale aligns perfectly with a line on the main scale.
- The number of that line (starting from 0) × 0.02 mm = vernier reading.
3. Add both readings:
- Total = Main Scale Reading + Vernier Scale Reading
Let’s go through each problem one by one.
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- Main scale: 0 mm (zero is just past 0, but before 1)
- Wait — look closely: The zero of the vernier scale is between 0 and 1 mm, so the main scale reading is 0 mm.
- Now find which vernier line matches a main scale line.
- The 5th line on the vernier aligns → 5 × 0.02 = 0.10 mm
- Total = 0 + 0.10 = 0.10 mm
✔ Answer: 0.10 mm
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- Main scale: Just before 10 mm → 9 mm (since the vernier zero is after 9 but before 10)
- Vernier alignment: 45th line? Let's count from 0.
- Actually, the vernier scale shows 45 divisions, and the 45th line lines up with a main scale line.
- But wait: The vernier scale starts at 0 and goes to 45. Each division = 0.02 mm.
- The 45th line would be 45 × 0.02 = 0.90 mm
- But main scale is 10 mm? No — vernier zero is just after 9, so main scale is 9 mm
- Check: vernier zero is after 9, before 10 → main scale = 9 mm
- Which vernier line aligns? Look carefully — it appears the 45th line (i.e., 45 × 0.02 = 0.90 mm) aligns.
- So total = 9 + 0.90 = 9.90 mm
Wait — let's double-check: If the vernier zero is just after 9, and the 45th line aligns, then yes, it's 9 + 0.90 = 9.90 mm
✔ Answer: 9.90 mm
---
- Main scale: Between 3 and 4 → vernier zero is after 3, so main scale = 3 mm
- Vernier alignment: Look at the vernier scale — the 10th line aligns?
- Count: From 0 to 10 — yes, the 10th line aligns with a main scale line.
- 10 × 0.02 = 0.20 mm
- Total = 3 + 0.20 = 3.20 mm
✔ Answer: 3.20 mm
---
- Main scale: Vernier zero is after 5, before 6 → main scale = 5 mm
- Vernier alignment: The 25th line aligns?
- 25 × 0.02 = 0.50 mm
- Total = 5 + 0.50 = 5.50 mm
✔ Answer: 5.50 mm
---
- Main scale: Vernier zero is after 2, before 3 → main scale = 2 mm
- Vernier alignment: The 15th line aligns? Let's see — the 15th line is marked as "15", so yes.
- 15 × 0.02 = 0.30 mm
- Total = 2 + 0.30 = 2.30 mm
✔ Answer: 2.30 mm
---
- Main scale: Vernier zero is after 3, before 4 → main scale = 3 mm
- Vernier alignment: The 18th line aligns? Let's count — the 18th line is near the middle.
- But actually, look at the alignment — the 18th line (from 0) is aligned.
- 18 × 0.02 = 0.36 mm
- Total = 3 + 0.36 = 3.36 mm
✔ Answer: 3.36 mm
---
- Main scale: Vernier zero is after 5, before 6 → main scale = 5 mm
- Vernier alignment: The 25th line aligns? Yes, the 25th line (marked as "25") aligns.
- 25 × 0.02 = 0.50 mm
- Total = 5 + 0.50 = 5.50 mm
✔ Answer: 5.50 mm
---
- Main scale: Vernier zero is after 1, before 2 → main scale = 1 mm
- Vernier alignment: The 10th line aligns? Let's check.
- The 10th line on vernier aligns with a main scale line.
- 10 × 0.02 = 0.20 mm
- Total = 1 + 0.20 = 1.20 mm
✔ Answer: 1.20 mm
---
- Main scale: Vernier zero is after 5, before 6 → main scale = 5 mm
- Vernier alignment: The 30th line aligns? Yes — 30th line is marked.
- 30 × 0.02 = 0.60 mm
- Total = 5 + 0.60 = 5.60 mm
✔ Answer: 5.60 mm
---
- Main scale: Vernier zero is after 1, before 2 → main scale = 1 mm
- Vernier alignment: The 15th line aligns? Yes — the 15th line (marked "15") aligns.
- 15 × 0.02 = 0.30 mm
- Total = 1 + 0.30 = 1.30 mm
✔ Answer: 1.30 mm
---
| Problem | Answer (mm) |
|--------|-------------|
| 1 | 0.10 |
| 2 | 9.90 |
| 3 | 3.20 |
| 4 | 5.50 |
| 5 | 2.30 |
| 6 | 3.36 |
| 7 | 5.50 |
| 8 | 1.20 |
| 9 | 5.60 |
| 10 | 1.30 |
---
These are all metric vernier caliper readings where each vernier division represents 0.02 mm, and the total reading is the sum of the main scale reading and the vernier scale reading (based on alignment).
Let me know if you'd like a visual explanation or want to practice more!
1. Main Scale (in mm) – reads whole millimeters.
2. Vernier Scale (in 0.02 mm increments) – provides finer precision.
---
🔍 How to Read a Metric Vernier Caliper:
1. Read the main scale:
- Look at the last whole millimeter mark before the zero of the vernier scale.
- This gives you the main reading in mm.
2. Find the vernier scale alignment:
- Find which line on the vernier scale aligns perfectly with a line on the main scale.
- The number of that line (starting from 0) × 0.02 mm = vernier reading.
3. Add both readings:
- Total = Main Scale Reading + Vernier Scale Reading
Let’s go through each problem one by one.
---
✔ Problem 1
- Main scale: 0 mm (zero is just past 0, but before 1)
- Wait — look closely: The zero of the vernier scale is between 0 and 1 mm, so the main scale reading is 0 mm.
- Now find which vernier line matches a main scale line.
- The 5th line on the vernier aligns → 5 × 0.02 = 0.10 mm
- Total = 0 + 0.10 = 0.10 mm
✔ Answer: 0.10 mm
---
✔ Problem 2
- Main scale: Just before 10 mm → 9 mm (since the vernier zero is after 9 but before 10)
- Vernier alignment: 45th line? Let's count from 0.
- Actually, the vernier scale shows 45 divisions, and the 45th line lines up with a main scale line.
- But wait: The vernier scale starts at 0 and goes to 45. Each division = 0.02 mm.
- The 45th line would be 45 × 0.02 = 0.90 mm
- But main scale is 10 mm? No — vernier zero is just after 9, so main scale is 9 mm
- Check: vernier zero is after 9, before 10 → main scale = 9 mm
- Which vernier line aligns? Look carefully — it appears the 45th line (i.e., 45 × 0.02 = 0.90 mm) aligns.
- So total = 9 + 0.90 = 9.90 mm
Wait — let's double-check: If the vernier zero is just after 9, and the 45th line aligns, then yes, it's 9 + 0.90 = 9.90 mm
✔ Answer: 9.90 mm
---
✔ Problem 3
- Main scale: Between 3 and 4 → vernier zero is after 3, so main scale = 3 mm
- Vernier alignment: Look at the vernier scale — the 10th line aligns?
- Count: From 0 to 10 — yes, the 10th line aligns with a main scale line.
- 10 × 0.02 = 0.20 mm
- Total = 3 + 0.20 = 3.20 mm
✔ Answer: 3.20 mm
---
✔ Problem 4
- Main scale: Vernier zero is after 5, before 6 → main scale = 5 mm
- Vernier alignment: The 25th line aligns?
- 25 × 0.02 = 0.50 mm
- Total = 5 + 0.50 = 5.50 mm
✔ Answer: 5.50 mm
---
✔ Problem 5
- Main scale: Vernier zero is after 2, before 3 → main scale = 2 mm
- Vernier alignment: The 15th line aligns? Let's see — the 15th line is marked as "15", so yes.
- 15 × 0.02 = 0.30 mm
- Total = 2 + 0.30 = 2.30 mm
✔ Answer: 2.30 mm
---
✔ Problem 6
- Main scale: Vernier zero is after 3, before 4 → main scale = 3 mm
- Vernier alignment: The 18th line aligns? Let's count — the 18th line is near the middle.
- But actually, look at the alignment — the 18th line (from 0) is aligned.
- 18 × 0.02 = 0.36 mm
- Total = 3 + 0.36 = 3.36 mm
✔ Answer: 3.36 mm
---
✔ Problem 7
- Main scale: Vernier zero is after 5, before 6 → main scale = 5 mm
- Vernier alignment: The 25th line aligns? Yes, the 25th line (marked as "25") aligns.
- 25 × 0.02 = 0.50 mm
- Total = 5 + 0.50 = 5.50 mm
✔ Answer: 5.50 mm
---
✔ Problem 8
- Main scale: Vernier zero is after 1, before 2 → main scale = 1 mm
- Vernier alignment: The 10th line aligns? Let's check.
- The 10th line on vernier aligns with a main scale line.
- 10 × 0.02 = 0.20 mm
- Total = 1 + 0.20 = 1.20 mm
✔ Answer: 1.20 mm
---
✔ Problem 9
- Main scale: Vernier zero is after 5, before 6 → main scale = 5 mm
- Vernier alignment: The 30th line aligns? Yes — 30th line is marked.
- 30 × 0.02 = 0.60 mm
- Total = 5 + 0.60 = 5.60 mm
✔ Answer: 5.60 mm
---
✔ Problem 10
- Main scale: Vernier zero is after 1, before 2 → main scale = 1 mm
- Vernier alignment: The 15th line aligns? Yes — the 15th line (marked "15") aligns.
- 15 × 0.02 = 0.30 mm
- Total = 1 + 0.30 = 1.30 mm
✔ Answer: 1.30 mm
---
📝 Final Answers:
| Problem | Answer (mm) |
|--------|-------------|
| 1 | 0.10 |
| 2 | 9.90 |
| 3 | 3.20 |
| 4 | 5.50 |
| 5 | 2.30 |
| 6 | 3.36 |
| 7 | 5.50 |
| 8 | 1.20 |
| 9 | 5.60 |
| 10 | 1.30 |
---
✔ Summary:
These are all metric vernier caliper readings where each vernier division represents 0.02 mm, and the total reading is the sum of the main scale reading and the vernier scale reading (based on alignment).
Let me know if you'd like a visual explanation or want to practice more!
Parent Tip: Review the logic above to help your child master the concept of micrometer reading worksheet.