Micrometer Caliper worksheet - Free Printable

To solve the problem of reading a micrometer caliper, we need to understand the components and how to interpret the readings. The key parts of a micrometer caliper are:

1. Main Scale Reading (MSR): This is the reading on the main scale.
2. Micrometer Scale Reading (μSR): This is the reading on the micrometer scale (also called the thimble scale).
3. Least Count (LC): This is the smallest division on the micrometer scale, which determines the precision of the measurement.
4. Reading (RDG): This is the final measurement obtained by combining the MSR and μSR.

The formula to calculate the reading is:
\[
\text{RDG} = \text{MSR} + (\text{μSR} \times \text{LC})
\]

Step-by-Step Solution for Each Micrometer Reading

#### Micrometer 1
- MSR: The main scale reading is 0 mm (since the line is just at the 0 mark).
- μSR: The micrometer scale reading is 7 divisions (the line aligns with the 7th division).
- LC: The least count is 0.01 mm (each division on the micrometer scale represents 0.01 mm).
- RDG:
\[
\text{RDG} = \text{MSR} + (\text{μSR} \times \text{LC}) = 0 + (7 \times 0.01) = 0.07 \, \text{mm}
\]

#### Micrometer 2
- MSR: The main scale reading is 5 mm (since the line is just past the 5 mark).
- μSR: The micrometer scale reading is 28 divisions (the line aligns with the 28th division).
- LC: The least count is 0.01 mm.
- RDG:
\[
\text{RDG} = \text{MSR} + (\text{μSR} \times \text{LC}) = 5 + (28 \times 0.01) = 5.28 \, \text{mm}
\]

#### Micrometer 3
- MSR: The main scale reading is 0 mm (since the line is just at the 0 mark).
- μSR: The micrometer scale reading is 46 divisions (the line aligns with the 46th division).
- LC: The least count is 0.01 mm.
- RDG:
\[
\text{RDG} = \text{MSR} + (\text{μSR} \times \text{LC}) = 0 + (46 \times 0.01) = 0.46 \, \text{mm}
\]

#### Micrometer 4
- MSR: The main scale reading is 1 mm (since the line is just past the 1 mark).
- μSR: The micrometer scale reading is 9 divisions (the line aligns with the 9th division).
- LC: The least count is 0.01 mm.
- RDG:
\[
\text{RDG} = \text{MSR} + (\text{μSR} \times \text{LC}) = 1 + (9 \times 0.01) = 1.09 \, \text{mm}
\]

#### Micrometer 5
- MSR: The main scale reading is 5 mm (since the line is just past the 5 mark).
- μSR: The micrometer scale reading is 32 divisions (the line aligns with the 32nd division).
- LC: The least count is 0.01 mm.
- RDG:
\[
\text{RDG} = \text{MSR} + (\text{μSR} \times \text{LC}) = 5 + (32 \times 0.01) = 5.32 \, \text{mm}
\]

Final Answers

\[
\boxed{
\begin{array}{ll}
\text{Micrometer 1:} & \text{MSR} = 0 \, \text{mm}, \, \mu\text{SR} = 7, \, \text{LC} = 0.01 \, \text{mm}, \, \text{RDG} = 0.07 \, \text{mm} \\
\text{Micrometer 2:} & \text{MSR} = 5 \, \text{mm}, \, \mu\text{SR} = 28, \, \text{LC} = 0.01 \, \text{mm}, \, \text{RDG} = 5.28 \, \text{mm} \\
\text{Micrometer 3:} & \text{MSR} = 0 \, \text{mm}, \, \mu\text{SR} = 46, \, \text{LC} = 0.01 \, \text{mm}, \, \text{RDG} = 0.46 \, \text{mm} \\
\text{Micrometer 4:} & \text{MSR} = 1 \, \text{mm}, \, \mu\text{SR} = 9, \, \text{LC} = 0.01 \, \text{mm}, \, \text{RDG} = 1.09 \, \text{mm} \\
\text{Micrometer 5:} & \text{MSR} = 5 \, \text{mm}, \, \mu\text{SR} = 32, \, \text{LC} = 0.01 \, \text{mm}, \, \text{RDG} = 5.32 \, \text{mm} \\
\end{array}
}
\]