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Difficulty: Very hardMeasuring and Layout Tools

A technician is checking the taper of an engine cylinder bore. Because an outside micrometer cannot measure inside diameters directly, the technician uses a telescoping gauge and transfers the measurement to a standard 33-44 inch outside micrometer.

For the measurement at the top of the cylinder, the micrometer sleeve exposes the large number '44' and three additional small marks, and the thimble index aligns exactly at '1111'.
For the measurement at the bottom of the cylinder, the micrometer sleeve exposes the large number '44' and two additional small marks, and the thimble index aligns exactly at '2222'.

Based on these readings, what is the calculated cylinder taper?

  1. 0.0140.014 inchesAnswer
  2. B
    0.0110.011 inches
  3. C
    0.0390.039 inches
  4. D
    0.0010.001 inches

Answer

0.0140.014 inches
The top reading is calculated as 3.0003.000 (base) + 0.4000.400 (large number '44') + 0.0750.075 (3×0.0253 \times 0.025 small marks) + 0.0110.011 (thimble) = 3.4863.486 inches. The bottom reading is calculated as 3.0003.000 (base) + 0.4000.400 (large number '44') + 0.0500.050 (2×0.0252 \times 0.025 small marks) + 0.0220.022 (thimble) = 3.4723.472 inches. The cylinder taper is the difference between these two measurements: 3.486−3.472=0.0143.486 - 3.472 = 0.014 inches.

Step-by-Step Solution

1
Calculate the exact diameter at the top of the cylinder based on the micrometer reading.
3.4863.486 inches
The micrometer base is 3.0003.000 inches. The large sleeve number '44' adds 0.4000.400 inches. The three small sleeve marks add 3×0.025=0.0753 \times 0.025 = 0.075 inches. The thimble alignment at '1111' adds 0.0110.011 inches. Total: 3.000+0.400+0.075+0.011=3.4863.000 + 0.400 + 0.075 + 0.011 = 3.486 inches.
2
Calculate the exact diameter at the bottom of the cylinder based on the micrometer reading.
3.4723.472 inches
The micrometer base is 3.0003.000 inches. The large sleeve number '44' adds 0.4000.400 inches. The two small sleeve marks add 2×0.025=0.0502 \times 0.025 = 0.050 inches. The thimble alignment at '2222' adds 0.0220.022 inches. Total: 3.000+0.400+0.050+0.022=3.4723.000 + 0.400 + 0.050 + 0.022 = 3.472 inches.
3
Determine the cylinder taper by finding the difference between the top and bottom measurements.
0.0140.014 inches
Cylinder taper is defined as the difference in diameter from the top of the cylinder travel to the bottom. Subtracting the bottom measurement from the top measurement: 3.486−3.472=0.0143.486 - 3.472 = 0.014 inches.

Key Concept

Precision Measurement Reading and Cylinder Taper Calculation
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Topics

Measuring and Layout Tools

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