Concept explainers
Solve the following exercises based on Principles 11-14, although an exercise may require the application of two or more of any of the principles. Round the answers to 3 decimal places where necessary unless otherwise stated.
a. If
b If
(a)
The value of DB and arc
Answer to Problem 20A
The value of DB is
Explanation of Solution
Given information:
AB = 5.378"
If the radius of the circle is perpendicular to the chord, it always divides the chord in two equal parts.
In the figure given above, the radius is perpendicular to the chord; hence, the parts AD will be equal to DB. Each portion AD and DB is half the value of part AB.
The value of DB is
If the radius of the circle is perpendicular to the chord, it always divides the chord and the arc cut off by the chord in two equal parts.
In the figure given above, the radius is perpendicular to the chord; hence, the parts AD will be equal to DB. Each portion AD and DB is half the value of part AB. Also, the arc cut off by the chord is divided in two equal parts.
The value of DB is
Conclusion:
Thus, the value of DB is
(b)
The value of AB and arc
Answer to Problem 20A
The value of AB is
Explanation of Solution
Given information:
AB = 3.017"
If the radius of the circle is perpendicular to the chord, it always divides the chord in two equal parts.
In the figure given above, the radius is perpendicular to the chord; hence, the parts AD will be equal to DB. Each portion AD and DB is half the value of part AB.
The value of AB is
If the radius of the circle is perpendicular to the chord, it always divides the chord and the arc cut off by the chord in two equal parts.
In the figure given above, the radius is perpendicular to the chord; hence, the parts AD will be equal to DB. Each portion AD and DB is half the value of part AB. Also, the arc cut off by the chord is divided in two equal parts.
The value of AB is
Conclusion:
Thus, the value of AB is
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Chapter 53 Solutions
Mathematics for Machine Technology
- Solve the following exercises based on Principles 11-14, although an exercise may require the application of two or more of any of the principles. Round the answers to 3 decimal places where necessary unless otherwise stated. a. If EF=160 mm, find HP . b If HP=160 mm, find EF . Round the answer to the nearest whole millimeter.arrow_forwardCompute the following problems. Express the answers to the nearer whole number. Use C=3.1416DN12 or DN12 for customary units and C=3.1416DN1000 or DN1000 for metric units. What is the surface speed of a 16-inch diameter surface grinder wheel running at1194 rpm?arrow_forwardThe carbon content of machine steel for gages usually ranges from 0.15% to 0.25%. Round the answers for a and b to 2 decimal places. a. What is the minimum weight of carbon in 250 kilograms of machine steel? b. What is the maximum weight of carbon in 250 kilograms of machine steel?arrow_forward
- Compute the following problems. Express the answers to the nearer whole number. Use C=3.1416DN12 or DN12 for customary units and C=3.1416DN1000 or DN1000 for metric units. A finishing cut is taken on a brass workpiece using a 100-millimeter diameter carbon steel milling cutter. What is the cutting speed when the cutter is run at 86 r/min?arrow_forwardCompute the following problems. Express the answers to the nearest whole number. Use N=12C3.1416D or 12CD for customary units and N=1000C3.1416D or 1000CD for metric units. A high-speed steel milling cutter with a 1.750-inch diameter and a cutting speed of 40 feet per minute is used for a roughing operation on an annealed chromium-nickel steel workpiece. Find the revolutions per minute.arrow_forwardFind the intensities of earthquakes whose magnitudes are aR=6.0andbR=7.9.arrow_forward
- Compute the following problems. Express the answers to the nearest whole number. Use N=12C3.1416D or 12CD for customary units and N=1000C3.1416D or 1000CD for metric units. An annealed cast iron housing is drilled with a cutting speed of 20 meters per minute using a 22-millimeter diameter carbon steel drill. Find the revolutions per minute.arrow_forwardSolve the following exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid steel bar 27.60 inches long has a square base. The bar has a volume of 104.00 cubic inches. Compute the length of a side of the base.arrow_forwardSolve the following exercises based on Principles 15-17, although an exercise may require the application of two or more of any of the principles. Round the answers to 3 decimal places where necessary unless otherwise stated. AB and CB are tangents. a. If y = 137.20 mm and ABC = 67.0, find (1) 1 and (2) x. If y = 207.70 mm and 1 = 33.8, find (1) ABC and (2) y.arrow_forward
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