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| Transverse View of Manville Company, Number Three Mill. Manville, RI. 1874 Courtesy of Tsongas Center for Industrial History, Lowell, MA. |
You will use the essay "Why A Factory?", an introductory paragraph, and the diagram of
a factory floor to answer: "How many machines, how many
people, and how much money were needed to run a factory?"
While the numbers you are given will not be exact, they will
closely represent the circumstances of an early 19th-century
factory.
Introduction
A textile factory is a system of machines,
workers, managers, power, and materials, all brought together
to produce cloth and make money. The textile mills at Waltham,
MA (1813) and then the mills at Lowell, MA
(1824) were the first textile mills in the world that took in
raw cotton, performed all of the manufacturing processes under
one roof, and turned out finished cloth.
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| Woman at Mill, 1860s. Courtesy of American Textile History Museum, Lowell, MA. |
Textile mills, like other factories, are
complicated systems. One of the key jobs of a factory owner or
manager is to set up the machinery in the factory so that one
machine produces just enough to supply the next process. It's
not easy to balance the various machines so that the
output of each stage would not produce too much or too little
for the next stage.
Setting up the factory--calculating the
number of each type of machine--was only the first step. The factory
manager also had to fit the machines into the mill, consider how
much money the machines would cost, and worry about finding the
right workers to operate the machines. In addition, he had to run
the mill to make money--paying for the machines, the workers,
the power, and the raw materials.
These exercises show some of the mathematics
that the mill manager had to do. It's mostly simple math--multiplication,
division, and proportions. But for the mill manager, the math
was the easy part of the problem; the hard part was estimating
the right relationships between the machines, knowing how fast
machines ran, how much power they used, and how many people were needed
to keep them running. Mistakes, for example buying the wrong machines,
or hiring the wrong people, were expensive.
EXERCISE 1: HOW MANY MACHINES?
Decide how many machines of each kind to
buy for your factory. To do this, follow these rrules that compare
the input and output of each type of machine. Step 1 is to determine
the ratios of the machines to one another, that is, how many of
each of the other machines are there for each picking machine.
Then you should move on to decide how many, and what kind of
machines, you need in total.
Machines used in producing cotton cloth:
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| From The Progress of Cotton, 1835-40. Courtesy of Slater Mill Historic Site, Pawtucket, RI. |
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| From The Progress of Cotton, 1835-40. Courtesy of Slater Mill Historic Site, Pawtucket, RI. |
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| From The Progress of Cotton, 1835-40. Courtesy of Slater Mill Historic Site, Pawtucket, RI. |
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| From The Progress of Cotton, 1835-40. Courtesy of Slater Mill Historic Site, Pawtucket, RI. |
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| From The Progress of Cotton, 1835-40. Courtesy of Slater Mill Historic Site, Pawtucket, RI. |
EXERCISE 2: HOW MUCH POWER?
Now figure out how many machines the water
power on the site can drive. At the Waltham mills, the limiting
factor was power. A "millpower" provided about 85 horsepower,
of which more than a third was lost to inefficiencies--so there
was about 60 horsepower available to drive the machines. Each
machine took about (on average) .186 h.p. How many total machines
were there, and how many of each machine?
EXERCISE 3: HOW MANY WORKERS
DO YOU NEED?
Here's how many of each machine a worker
could operate:
Women's jobs:
one weaver could tend two looms.
A spinner could tend one filling throstle
or two warp throstles.
One woman tended each drawing frame.
A woman could handle two speeders.
Each dressing frame required one woman;
in addition, there was one woman for every two dressing frames who
did "drawing in," drawing each thread through the harnness
and reed of the loom.
"Sparehands" were trainees who
were learning to work the machines. There was, on average, one
sparehand for every four experienced women workers.
Men's jobs:
Men tended the pickers and carders; one man
per picker and one man per ten carders,
Overseers and assistant overseers were
men: there was, on average, one of these managers for every thirty female
employees.
Machinists kept the machines operating.
There was one machines for every 50 or so machines.
EXERCISE 4: PAY DAY
Each worker is paid a different amount.
The wages were determined by a number of factors:
More skilled workers tended to get more than those less skilled.
Young workers tended to get paid less than older workers.
Women got paid less than men.
Workers with needed skills received more
than those with common skills.
Job Category Wages Per Day Weaver .66 Spinner .58 Drawer .52 Speeder .66 Dresser .78 Drawing in .66 Sparehands .44 Pickers .85 Carders .85 Overseers 1.75 Machinist 1.27
What is the weekly payroll of your mill?
EXERCISE 5: FLOOR DESIGN
Examine the attached floor plans for each
floor of the mill. The keys provide information about the floor plans.
Using the information in Exercise 1, trace
the flow of the material through the mill. (The first step, picking,
is not shown; picking machines were kept in a separate building
because they occasionally caught fire.) Why do you think that
the machines are set up the way they are? How would you change
the setup to make it more efficient?
The architectural drawings below are supplied by Patrick Malone, Brown University, Providence, RI. Used by Permission.
First Floor Plan
Second Floor Plan
Comments and questions to
the Lemelson Center:lemcen@si.edu
Last Revision: 6/5/98