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The fundamental areas of arithmetic, algebra, geometry, and trigonomety are covered in detail. Presented from the book:
Technical Shop Mathematics
(Shop Trig Sine Bars and Sine Plates)

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   by Thomas Acahatz
Published By:
Industrial Press Inc.
Practical explanations, problem solving techniques, examples, and exercises are provided throughout. SALE! Use Promotion Code TNET11 on book link to save 25% and shipping.
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EXERCISES

 

22.1 When a sine bar was in position to measure an angle, the gauge block stack height was 1.99368 inches. What would be the angle if:

     a) a 5-inch sine bar were used?               

     b) a 10-inch sine bar were used?

 

22.2 A taper shaft similar to the one shown in Figure 22.6 was found to have dimension H 2 = 8.326 inches and H 1 = 6.168 inches. Calculate the total included angle of the taper if a 10-inch sine bar was used.

 

22.3 A toolmaker requires an angle of 39.636°

.      a) Using a 5-inch sine plate, what height H of gauge blocks is required?

      b) If the stack of gauge blocks were used with a 10-inch sine plate, what would be the angle measurement?

 

22.4 In checking an angle on a machined casting, a 5-inch sine bar was used that had buttons (rolls) fastened to the side. The lower button was 2.1672 inches above the surface plate and the upper button was 4.8634 inches above the surface plate. What is the angle measurement?

 

22.5 A 10-inch sine bar with buttons on the side has the following two measurements: lower, 5.6729 inches; upper, 9.2173 inches. What is the measure of the angle?

 

22.6 The measurement to the buttons of a 10-inch sine bar from the flat were taken as 3.2763 inches and 8.4976 inches. What was the measure of the angle?

 

22.7 Determine the stack height (gauge blocks to the upper button) of a 5-inch sine bar with two buttons when the lower button is 0.7500 inch above the flat and the angle is 22.373°.

 

22.8 Calculate the stack height of gauge blocks to set a 10-inch sine plate to an angle of 37.175°.

 

22.9 The stack height for a 10-inch sine plate used in measuring an angle is 3.5837 inches.

a) What is the angle measurement?

b) If a 5-inch sine plate were used on the same stack, what would be the angle measurement?

 

22.10 A 10-inch sine bar with buttons is placed on a taper shaft whose included angle of taper is 19.5°. If the short stack measures 1.350 inches, what is the height of the upper button stack?

 

22.11 A workpiece is placed on a simple sine plate as shown in Figure 22.7. Calculate the stack height H of required gauge blocks to raise the upper plate to an angle of 31.83° when L = 1000 mm.

 

F IGURE 22.7

 

22.12 In Figure 22.7, solve for M when L = 127 mm, H = 82.672 mm, A = 28.575 mm, and B = 30.162 mm. Give answer to 0.001 mm.

 

22.13 The L distance on a metric sine bar is 100 mm. Find the angle of a set-up when the gauge block stack equals 14.925 mm.

 

22.14 An angle of 47.66° is to be set up on a sine bar whose L dimension is 200 mm. Calculate the stack height of the required gauge blocks.

 

Copyright © 2006 Industrial Press Inc.

 

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