Concept explainers
(a)
The cutting speed.
Answer to Problem 22AR
Explanation of Solution
Given information:
Diameter of shaft:
Rotational speed of lathe:
Calculations:
The cutting speed is calculated using the given formula:
Conclusion:
The cutting velocity is
(b)
The RPM of the aluminum cylinder.
Answer to Problem 22AR
Explanation of Solution
Given information:
Diameter of the cylinder:
Cutting speed:
Calculations:
The RPM of the cylinder is calculated using the given formula:
Conclusion:
The rotational speed of the cylinder is
(c)
The total cutting time.
Answer to Problem 22AR
Explanation of Solution
Given information:
Number of holes
Diameter of each holes
Depth of holes
Rotational speed of drill
Feed
Calculations:
The time taken to drill one hole is given by the relation:
Conclusion:
The total cutting time is
(d)
The pitch of the gear.
Answer to Problem 22AR
Explanation of Solution
Given information:
Number of teeth on the gear:
Pitch diameter:
Calculations:
The pitch of the gear is defined by the relation:
Conclusion:
The pitch of the gear is
(e)
The whole depth of the gear.
Answer to Problem 22AR
Explanation of Solution
Given information:
Number of teeth on the gear:
Pitch diameter:
Calculations:
The whole depth of the gear is defined by the relation:
Conclusion:
The whole depth of the gear is
(f)
The center distance between the gear and the pinion.
Answer to Problem 22AR
Explanation of Solution
Given information:
Pitch diameter of pinion:
Pitch diameter of gear:
Calculations:
The center distance between the gear and the pinion is defined by the relation:
Conclusion:
The center distance between the gear and the pinion is
Want to see more full solutions like this?
Chapter 49 Solutions
Mathematics For Machine Technology
- 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. Determine the revolutions per minute of an aluminum alloy rod 1.250 inches in diameter with a cutting speed of 550 feet per minute.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. 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_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_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. What is the surface speed of a 16-inch diameter surface grinder wheel running at1194 rpm?arrow_forwardCompute the following problems. Express the answers to 1 decimal place. Use: T=LFN Fifteen 3.20-millimeter diameter holes each 57.15 millimeters deep are drilled inan aluminum workpiece. The high-speed steel drill runs at 9200 r/min with a feedof 0.05 millimeter per revolution. Determine the total cutting time.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. A 312 inch diameter high-speed steel cutter, running at 55 rpm, is used to rough mill a steel casting. What is the Cutting speed?arrow_forward
- In Figure 208, gear A is turning at 120 revolutions per minute and gear B is turning at 3.6 revolutions per second. Determine the ratio of the speed of gear A to the speed of gear B.arrow_forwardA plug gage tapers 3.10 mm along a 38.00 mm length, as shown in Figure 215. Set up a proportion and determine the amount of taper in the workpiece for each of the following problems. Express the answers to 2 decimal places.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. 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_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_forwardCompute the following problems. Express the answers to 1 decimal place. Use: T=LFN A slot 812.00 millimeters long is cut into a carbon steel baseplate with a feed of0.80 millimeter per revolution. Find the cutting time using a 75-millimeter diameter carbide milling cutter running at 640 r/min.arrow_forwardFind the intensity of light at a depth of 12 meter if I0=14 and k=0.7. Round to two decimals.arrow_forward
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell