Supposedly,
Michelangelo was asked how he created David. He said it was easy. Just remove
all the stone that doesn’t look like David.
While
this is a frivolous take on the idea, building things is always a blend of
adding and subtracting.
In the
case of wood turning, it’s mostly removal. Take a cylinder of wood, spin it,
and use some kind of sharp device to remove what you don’t want. The spinner is
called a lathe. The device is called a turning tool.
I
started wood turning a while back. I started with tiny lathes until finally I
wanted to do some big things. This meant a big lathe. I looked around and found
a used Delta lathe and bought it. This was a big thing: 14” inch diameter
cylinders across a 42 inch bed. Better than 200 pounds of cast iron. I could
take logs and peel them down to a workable size.
And
after about a month, it broke. No, that’s not the pulley that broke this
time. The first pulley to break was the motor pulley. The pulley shown is the
spindle pulley.
Regardless,
thus began the Saga of the Lathe.
A lathe
is, essentially, four parts: the headstock, which actually turns the piece, the
tail stock, which passively supports the piece against the headstock, the tool
support you brace the turning tool that cuts the wood, and the bed that
supports all of this. Nothing much goes wrong with the bed, tool support, or
tail stock. But the headstock is another story.
The
headstock is an astonishingly complex assembly. It’s a spinning hollow tube
that allows placing all sorts of attachments in one end. This means it has a
motor turning two pulleys: one end attached to the motor shaft (the motor
pulley) and the other going inside the headstock to rotate that tube (the
spindle pulley.)
We need
to define a few terms here. RPM is revolutions-per-minute. This is how
fast that hollow tube is turning and, by extension, how fast the wood being
turned revolves. Torque is the rotational force coming from that
rotation. Torque and RPM are completely separate qualities. There are high
speed, low torque systems that you can stop with your hand. There are low
speed, high torque systems that will tear your hand right off without slowing
down. A 24 inch car wheel rotating at 10 rpm is, in effect, running at less
than a mile/hour. But a human can’t stop it.
Most
full sized lathes range between about 600 rpm and 2400 rpm using something like
a 1700rpm, 1 horsepower motor. So, if you’re running the rpm of the lathe at
the same natural speed of the motor, most of that horsepower is transmitted to
turning wood. That’s a lot of torque.
Speed
control is an important part of using a lathe. A twenty inch by twelve inch
irregular log is barely manageable at 600 RPM (10 revolutions/second) and even
then it’s scary as hell. Faster than that, it’s nightmare fuel. That said,
turning a fine spindle at 2400 rpm is lovely and gets a beautiful, smooth
surface.
There
are several different mechanisms to change turning speed. The simplest, yet
most expensive, is to use a DC motor and just put a controller in the circuit.
DC motors will change speed relative to the power they receive. But this means
you sacrifice torque—starve the motor of power and it certainly slows down but it
gets weak, too. I’ve seen lathes turn at 60 rpm (1 revolution/second) that I
could stop with my hand.
Most
lathes, instead, use a constant speed AC motor and change the speed by changing
the motor and spindle pulley ratios.
I love
pulleys. They are human mechanical ingenuity its finest. Imagine two pulleys:
one is, say, 2 inches in diameter. The other is 6 inches in diameter.
Circumference is C = πD. So that 2 inch pulley is 6.28 inches around. The
circumference of the 6 inch pulley is 18.9 inches. Connect the two with a belt
so they must turn together. This means every time the 2 inch pulley turns three
times, the 6 inch disk turns once. (More or less. Let's say that to avoid decimals.)
This is
how lathes manage speed.
They put the small pulley on the motor and the large pulley turns the lathe
shaft. To change the speed, the ratio between the two pulleys is changed.
Often, this is done by having a set of pulley pairs of different ratios and
moving the belt from one ratio to another.
Changing
the speed has an effect on torque as well. If the motor is running at a
constant rate, when the effective pulley speed is the same rotational speed as
the motor, the torque at the pulley is close to the torque on the motor. Let’s
say the motor pulley is running faster than the spindle pulley (it’s the 2 inch
in the previous example.) It’s already stated that the 2 inch pulley is turning
3 times faster than the 6 inch pulley. That means the motor has applied its horsepower
to the motor pulley 3 times while the spindle pulley has turned once. Which
also means the spindle pulley is getting three times the torque the
motor pulley is supplying.
This is
the way mechanical advantage (sometimes called leverage) works. It’s trading
two related qualities across a conserved common quality. Think of a garden
variety lever. What is being conserved is the angular rotation. Push down on
one end of the lever and the other end goes up the same number of degrees. It
doesn’t matter if one end is a mile long from the fulcrum and the other is an
inch. Push down the long end of the lever ten degrees and the other end will
rise ten degrees.
What is
traded is the distance covered by the ends of the lever. If one end travels 10
inches and the other end travels 1 inch, 10 inches of force gets compressed to
a 1 inch travel: a 10 to 1 mechanical advantage.
In the
case of this example of pulleys, the rpm is being traded but the linear distance
traveled at the pulley is constant. When the small pulley rotates 1 revolution,
two inches of rotational travel occurs. On the large pulley, two inches of
travel also occur. But the difference here is two inches is one rotation on the
small pully and 1/3 of a rotation on the large pulley. Thus, three times the torque in a single revolution.
But
moving the belt is inconvenient. In addition, there’s a limit how many ratios
can be put in the headstock. (Usually, it’s four.) What if we want much finer
control? And we don’t want to sacrifice torque like the DC motor approach?
Enter
the Reeves Pulley.
I was
unable to find out who Reeves was, although I did see pictures of pulley
systems with a Reeves logo on them. Presumably, there was a genius mechanical
engineer a hundred years ago that came up with this. I hope he was well paid.
Look at the picture at left. (Picture from
here.)
Note that we are looking at two pulleys, each made up of a pair of flat cones.
In this drawing, the upper pulley is movable but the speed measurement is
against the bottom pulley. As the cones of the upper pulley are pulled close
together, it increases the force against the lower pulley, forcing the two
cones apart. The circumference of the lower pulley is now small while the upper
pulley’s circumference is large. Let’s use the numbers we used before. Each
time the 6 inch upper pulley turns, it rotates the 2 inch lower pully three
times. If the upper pulley is turning at 100 rpm, the lower pully is turning at
300 rpm.
Now, if
the upper pulley is pulled apart, a spring on the lower pulley pushes the cones
together. Let’s say, we’ve now reversed the ratio. The lower pulley is now the
six inch pulley while the upper pulley is the two inch pully. The upper pulley
is still turning at 100 rpm. This makes the lower pulley turn at 33 rpm. (A
good calculator is here.)
Variable
transmission with minimum loss of torque.
What
broke initially on the headstock was the motor pulley. I hadn’t done my
homework. Delta had skimped on the materials used in the pulleys and used an
inferior zinc alloy. The motor pulley had shattered.
I looked
around and discovered that Delta had been out of business for some time and
there were no parts available. However, a competing manufacturer made Reeves
pulley pairs that sort of fit my
motor. The problem was they were too small. Remember the pulley ratios? I could
go slow but I couldn’t go fast. The original top speed was 2400 rpm. I was
running at 1600.
Oh,
well. I coped for the next couple of years.
I had
been making tops for a while now and my son asked me to make him a big one.
Okay, I said. I took a big piece of ash, hammered it into place. Made sure the
alignment was right and turned on the lathe.
*THUNK*
Hash. Rattle. Rattle.
Oh,
crap, I thought. I opened the headstock and saw chunks and pieces of zinc
alloy inside. See the picture above.
The
spindle pulley had exploded. This was also the part of the Reeves system that
actually moved under control, unlike the motor pulley that moved passively in
response.
Now, I
had a problem.
Sure
enough, a search on line told me nothing about the Delta parts situation had
improved. I went back to the surrogate supplier to get a new spindle pulley.
To the
left here is an exploded view of the headstock. If you look at the part
numbers, parts 5-8 is the motor pulley assembly. In the same drawing, parts
14-47 is the spindle pulley assembly.
I had my work cut out for me.