## Manufacturing

* Problems and tasks from a variety of sources intended to illustrate
the way mathematics arises in life and work.*

** Drilling Holes.** A machinist must drill five 1/4 inch holes
equally spaced on a circle with a 2.9" radius. Find the coordinates of
the centers of these holes.

** Sine Table.** Explain how to set up a sine table as a jig for
a drilling machine in order to properly drill a hole at a precise angle.
(A sine table is a platform with hinges on two sides that permit tilting
along two horizontal axes.)

** Mating a Part.** Given a machined part, calipers, micrometers,
and depth gauges, prepare a scale drawing of a second mating part within
a tolerance of .030".

** Gear Trains.** In typical gear boxes, four gears (A,B,C,D) with
teeth (a,b,c,d) are arranged so that A drives C which is keyed to B, which
drives D. Thus the ratio of driver to driven is ab/cd. If a ratio r is
desired, one seeks values of a,b,c,d in the range of 20 to 100 (practical
limits for the number of teeth) to makes ab/cd as close as possible to
r.

** Glass Production.** A report from a manufacturing plant
describes the process of making glass, which after leaving the mixing
vat flows down the production line like an incandescent river, giving
rise to a variety of questions about tons per day of production, the
line speed, and the glass river's width and thickness. Because the glass
must be cut into sections as it is moving along the production line, the
glass cutters must be positioned at precise angles so that when the cut
is complete the glass will be sectioned into rectangles.

*To contribute or correct items, please e-mail
information to: *`extend@stolaf.edu`* or click
here.*

**| ****
Home Page |
Resources |
Top of Page|
Next Page |
Previous Page |
Contents |
**

*Last Update: 12/29/98*