Concept explainers
(a)
The vernier caliper setting.
Answer to Problem 15A
The vernier caliper setting is
Explanation of Solution
Given information:
The zero vernier graduation lies between these main scale graduations is
Write the expression for the vernier caliper measurement.
Here, the vernier caliper measurement is
Calculation:
Substitute
Conclusion:
The vernier caliper setting is
(b)
The vernier caliper setting.
Answer to Problem 15A
The vernier caliper setting is
Explanation of Solution
Given information:
The zero vernier graduation lies between these main scale graduations is
Calculation:
Substitute
Conclusion:
The vernier caliper setting is
(c)
The vernier caliper setting.
Answer to Problem 15A
The vernier caliper setting is
Explanation of Solution
Given information:
The zero vernier graduation lies between these main scale graduations is
Calculation:
Substitute
Conclusion:
The vernier caliper setting is
(d)
The vernier caliper setting.
Answer to Problem 15A
The vernier caliper setting is
Explanation of Solution
Given information:
The zero vernier graduation lies between these main scale graduations is
Calculation:
Substitute
Conclusion:
The vernier caliper setting is
(e)
The vernier caliper setting.
Answer to Problem 15A
The vernier caliper setting is
Explanation of Solution
Given information:
The zero vernier graduation lies between these main scale graduations is
Calculation:
Substitute
Conclusion:
The vernier caliper setting is
(f)
The vernier caliper setting.
Answer to Problem 15A
The vernier caliper setting is
Explanation of Solution
Given information:
The zero vernier graduation lies between these main scale graduations is
Calculation:
Substitute
Conclusion:
Therefore, the vernier caliper setting is
(g)
The vernier caliper setting.
Answer to Problem 15A
The vernier caliper setting is
Explanation of Solution
Given information:
The zero vernier graduation lies between these main scale graduations is
Calculation:
Substitute
Conclusion:
Therefore, the vernier caliper setting is
(h)
The vernier caliper setting.
Answer to Problem 15A
The vernier caliper setting is
Explanation of Solution
Given information:
The zero vernier graduation lies between these main scale graduations is
Calculation:
Substitute
Conclusion:
The vernier caliper setting is
(i)
The vernier caliper setting.
Answer to Problem 15A
The vernier caliper setting is
Explanation of Solution
Given information:
The zero vernier graduation lies between these main scale graduations is
Calculation:
Substitute
Conclusion:
The vernier caliper setting is
(j)
The vernier caliper setting.
Answer to Problem 15A
The vernier caliper setting is
Explanation of Solution
Given information:
The zero vernier graduation lies between these main scale graduations is
Calculation:
Substitute
Conclusion:
The vernier caliper setting is
(k)
The vernier caliper setting.
Answer to Problem 15A
The vernier caliper setting is
Explanation of Solution
Given information:
The zero vernier graduation lies between these main scale graduations is
Calculation:
Substitute
Conclusion:
The vernier caliper setting is
(l)
The vernier caliper setting.
Answer to Problem 15A
The vernier caliper setting is
Explanation of Solution
Given information:
The zero vernier graduation lies between these main scale graduations is
Calculation:
Substitute
Conclusion:
The vernier caliper setting is
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Chapter 31 Solutions
Mathematics For Machine Technology
- In Exercises 17 and 18, refer to the following sentence and to the following given vernier caliper settings to find values A, B, and C. "The zero vernier scale graduation lies between A and B on the main scale, and the vernier graduation Ccoincides with the main scale graduation." The answer to the first part of Exercise 17 is given.arrow_forwardIn Exercises 41 and 42, round to two decimal places. A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft from one end of the barn, what is the area of the pasture that the goat is able to graze?arrow_forwardA stamped sheet steel plate is shown in Figure 164. Compute dimensions AF to 3 decimal places. All dimensions are in inches. A=_B=_C=_D=_E=_F=_arrow_forward
- Suppose that the peak of the roof occurs 20 rather than 14 horizontal feet toward the interior of the structure. How high would the peak of the roof be in this setting? Example 3.1 In Figure 3.5, we have extended the roof to its peak 14 horizontal feet toward the interior of the structure. FIGURE 3.5 Extending the roof line to its peakarrow_forwardRefer to Figure 29-9 to determine the values in the table. Allowance is equal to the maximum interference. All dimensions are in millimetersarrow_forwardThe distance between the centers of two holes can be checked with a vernier caliper. The position of the caliper in measuring the inside distance between two holes is shown in Figure 29-10. To determine the setting on the caliper, subtract the radius of each hole (one-half the diameter) from the center distance. In Exercises 19 through 23, give the hole diameters and the distances between centers. For each, determine (1) the main scale setting and (2) the vernier scale setting. All dimensions are in inches.arrow_forward
- The distance between the centers of two holes can be checked with a vernier caliper. The position of the caliper in measuring the inside distance between two holes is shown in Figure 29-10. To determine the setting on the caliper, subtract the radius of each hole (one-half the diameter) from the center distance. In Exercises 19 through 23, give the hole diameters and the distances between centers. For each, determine (1) the main scale setting and (2) the vernier scale setting. All dimensions are in inches 23. Note: Hole tolerances and center distance tolerances are shown. Maximum and minimum vernier scale settings are required.arrow_forwardA cross-sectional view of a bevel gear is shown in Figure 13-5. Given the diametral pitch and the number of gear teeth, determine the pitch diameter, the addendum, and thededendum. Round the answers to 4 decimal places.arrow_forwardA piece is to be cut to the dimensions and tolerances shown in Figure 29-14. Determine the maximum permissible value of length A. All dimensions are in inches.arrow_forward
- Of two gears that mesh, the one that has the greater number of teeth is called the gear, and the one that has the fewer teeth is called the pinion (Figure 218). For each of the problems, set up a proportion, and determine the unknown value, x. Round the answers to 1 decimal place where necessary.arrow_forwardTsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height by reducing energy. See Figure 5.30. If a tsunami wave of height H in a channel of width W encounters a breakwater that narrows the channel to a width w, then the height h of the wave beyond the breakwater is given by h=HR0.5, where R is the width ratio R=w/W. a. Suppose a wave of height 8 feet in a channel of width 5000feet encounters a breakwater that narrows the channel to 3000feet. What is the height of the wave beyond the breakwater? b. If a channel width is cut in half by a breakwater, what is the effect on wave height? 16. Height of Tsunami WavesWhen waves generated by tsunamis approach shore, the height of the waves generally increases. Understanding the factors that contribute to this increase can aid in controlling potential damage to areas at risk. Greens law tells how water depth affects the height of a tsunami wave. If a tsunami wave has height H at an ocean depth D, and the wave travels to a location with water depth d, then the new height h of the wave is given by h=HR0.25, where R is the water depth ratio given by R=D/d. a. Calculate the height of a tsunami wave in water 25feet deep if its height is 3feet at its point of origin in water 15,000feet deep. b. If water depth decreases by half, the depth ratio R is doubled. How is the height of the tsunami wave affected?arrow_forwarduse the map in Figure 11.2. a Find the grid section of Taylor Hall. b. What is located in section 3B?arrow_forward
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