1.5 PRACTICE PROBLEMS
1. Select gauge blocks from an 83 piece set to build up a dimension of 3.2265”
2. Use the Unilateral System for a GO/NOGO gauge design if the calibrated temperature is 72°F and the actual room temperature is 92°F. The shape to be tested is shown below.
3. Find the Running Clearance fit category for the hole and shaft shown below.
4. Set up a sine bar (with 5 inches between cylinder centres) to provide an angle of 15°.
a) What height of gauge blocks is required?
b) Suggest an appropriate set of gauge blocks from an 81 piece set.
c) What is the actual angle of the sine bar?
d) If the room temperature is 95°F and the coefficient of expansion is .000001” per inch per °F, and the gauge blocks are calibrated to 68°F, what is the actual sine bar angle?
e) Suggest a new gauge block stack for the conditions in d).
5. If the scale below reads .48, label the bottom vernier scale.
6. List four different reasons that a material like cheese would not be good for gauge blocks.
7. When using a dial indicator, is parallax or the principle of alignment more significant? Explain your answer.
8. How can you verify that a standard square is 90°?
9. Design a GO/NOGO gauge for a 5” by 7” square hole with tolerances of ±.1” on each dimension. Show the tolerances and dimensions for the gauges.
10. Write the values displayed on the vernier scales below.
1. If the thimble on a micrometer is made larger, does it affect the ‘radial arm’, or the ‘inclined plane’ principle?
12. When a comparator approaches a workpiece from one direction, it will read a different value than when it approaches from the other way. Explain why.
13. One type of fit is for Interchangeable Assemblies (it uses tolerances to ensure that parts can be made separately, but still fit together). What are the two other types of fits that were described in class? Describe why they are different.
14. A square hole has one dimension that will be checked with a GONOGO gauge set. The basic dimension is 2.005” ±0.003”. The gauge and hole are used in a room temperature of 105°F, but they should be accurate when at 60°F. The gauge coefficient of linear thermal expansion is 0.000001”, and the coefficient is 0.000002” for the material of the workpiece with the hole.
a) What sizes should the GO and NOGO gauges be?
b) Using the gauge block set shown below, list the gauge block stacks required.
15. A square is set up the two ways shown below, and a comparator is run from one end to the other. The resulting measurements result in the rises, or drops indicated. If the comparator is run over a total distance of 5” for both measurements, what is the angle of the squares A and B?
16. The hole shaft pair is assembled with an LN fit.
a) Draw the tolerance diagram.
b) Determine what the LN fit number is.
17. A sine bar will be used to give an angle of 82°35’
a) If the sine bar has 5” centres, what height will be needed?
b) Calculate the gauge block stack for the height in a).
c) What is the actual angle of the sine bar?
d) If the temperature in the room is 65°F at calibration, and 85°F at use, what change in angle does the sine bar have (coefficient of linear thermal expansion 0.000001 “/”°F for the sine bar, and 0.0000005 “/”°F for the gauge blocks)?
e) Could the sine bar be used with other instruments to improve accuracy?
18. Draw the number on the vernier scale below if the reading is 1.12
19. Parallax effects are more important than the principle of alignment for flow type pneumatic comparators  TRUE or FALSE
20. Draw GO/NOGO gauges for the shaft below.

Select the most significant error that occurs when reading a scale that is properly used.
a) parallax errors where the scale is not parallel to the work.
b) change in the length of the scale due to a temperature change of 1°C.
c) reading with a scale that has a damaged end.
d) rounding off to the nearest division.

If we wanted to measure the diameter of the inside of a tip of a medical syringe (in the range of 0.005”) what would be the best measuring instrument?
a) transfer gauge
b) tool makers microscope
c) GO/NOGO gauges
d) mechanical comparator

Which of the following statements is most correct?
a) vernier scales are used for linear measurements only.
b) micrometer scales are used for linear measurements only.
c) micrometer scales make vernier scales more accurate.
d) none of the above.

Which of the statements below is not correct?
a) the radial arm principle amplifies the rotation of a screw to a larger surface area and radial travel.
b) the inclined plane principle means that a small axial travel for a thread will be amplified to a much larger radial travel
c) the principle of alignment suggests that the dimension to be measured, and the measuring instrument should be aligned along the same axis.
d) all are correct.

Which of the following physical principles is not used as a basis for comparators.
a) air pressure.
b) air flow.
c) the radial arm principle.
d) none of the above.

Surface plates are,
a) a surface that can be used to measure flatness without other equipment.
b) can be used for measuring small angles without other equipment.
c) a surface that can be used for measuring large angles without other equipment.
d) all of the above.

Sine bars,
a) are more accurate near 90°.
b) are more accurate near 0°.
c) are used with angular gauge blocks.
d) none of the above.

Given the diagram below, what will the average interference/clearance be?
a) 0.008”
b) 0.020”
c) 0.032”
d) none of the above

Given an 83 piece set of gauge blocks, how many different stacks 1.1117” in height can be built from the same set? (do not consider wear blocks)
a) 1
b) 2 or 3
c) 4 or 5
d) more than 5

Select the most appropriate statement.
a) dial indicators use the inclined plane principle.
b) dial indicators are a crude form of comparator.
c) the range of the dial indicator is generally less than standard comparators.
d) none of the above.

Briefly describe the relationship between tolerance and accuracy. (2%)

Find a gauge block stack that gives a value of 1.2351°. (3%)

a) given a metric gauge block set that is calibration grade (a tolerance of +0.00010mm to 0.00005mm) find the dimension and tolerance of a stack that is 3.2761cm in height. (4%)
b) If the stack found in a) is increased in temperature from the ambient of 23°C to a higher temperature of 41°C, what is the new dimension and tolerance? (assume the coefficient of linear thermal expansion is 107K1. (8%)

Suggest a suitable comparator for measuring the diameter of a threaded nut. (3%)

Two blocks are stacked as shown below. In the first test we measure the drop in height (0.005”) from one side to the other (5.000”). Then the block on top is turned 180° (left to right)and the new drop in height (0.015”) is measured over a distance (4.000”). What are the angles of each of the blocks? (8%)

For mass production the inspector will need a fast and accurate instrument for measurement in order to ensure that part dimensions are between acceptable limits. What kind of category of instruments will you choose? Explain why. (3%)

What kind of magnification does the micrometer use? (2%)

Gauge blocks are made to such high precision they wring. What does the term wring mean? (2%)

What would happen if the gauge blocks being lapped were first lapped in the pattern on the left, then second with the pattern on the right? (3%)

A steel scale with 1mm divisions will have a vernier scale added to get readings to 0.1mm. Use a diagram to show this scale and number the divisions. (6%)

List five potential applications of standards (5%)

Design Limit Gauges (GO/NOGO) for the block with a hole in it. Assume that the hole is always perfectly centered. (12%)

We are to measure a square hole that is to be measured at 25°C but when it is used at 40°C it is to be 2.000” exactly. Given that the coefficient of linear thermal expansion is 106K1 for the part and 107K1 for the gauge blocks (calibrated at 23°C) what height should the stack be? (5%)