Question

Difficulty: MediumPrecision Measurement Instruments

An automotive technician measures the thickness of a solid brake rotor using a standard 0 to 1-inch outside micrometer. On the sleeve, the major number 8 is visible along with 2 full subdivision marks past it. The thimble line aligned with the sleeve datum index is 17. What is the measured thickness of the brake rotor?

  1. A
    0.842 in0.842\text{ in}
  2. 0.867 in0.867\text{ in}Answer
  3. C
    0.817 in0.817\text{ in}
  4. D
    0.892 in0.892\text{ in}

Answer

0.867 in0.867\text{ in}
On a standard inch micrometer, the sleeve scale has numbered divisions representing 0.100 in0.100\text{ in} each and small subdivision marks representing 0.025 in0.025\text{ in} each. The thimble divides each revolution into 25 equal increments of 0.001 in0.001\text{ in}. Adding the major sleeve reading (0.800 in0.800\text{ in}), the two subdivision marks (2×0.025=0.050 in2 \times 0.025 = 0.050\text{ in}), and the thimble reading (0.017 in0.017\text{ in}) yields 0.867 in0.867\text{ in}.

Step-by-Step Solution

1
Read the major graduation on the micrometer sleeve
Major reading = 0.800 in0.800\text{ in}
Each numbered mark on a standard inch micrometer sleeve represents one-tenth of an inch (0.100 in0.100\text{ in}), so 8 represents 0.800 in0.800\text{ in}.
2
Count the visible subdivision lines on the sleeve past the major mark
Subdivision reading = 2×0.025 in=0.050 in2 \times 0.025\text{ in} = 0.050\text{ in}
Each small subdivision line on the sleeve represents one revolution of the thimble, or 0.025 in0.025\text{ in}.
3
Read the thimble graduation aligned with the sleeve datum line
Thimble reading = 0.017 in0.017\text{ in}
Each division on the thimble represents one-thousandth of an inch (0.001 in0.001\text{ in}).
4
Sum all three readings to determine total thickness
0.800 in+0.050 in+0.017 in=0.867 in0.800\text{ in} + 0.050\text{ in} + 0.017\text{ in} = 0.867\text{ in}
The total micrometer measurement is the sum of the major sleeve mark, minor sleeve subdivisions, and aligned thimble value.

Key Concept

Reading a Standard Inch Outside Micrometer
Estimated Time:1m 0s
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