Gears

Last updated: May 16, 2008.
Have you ever tried pedalling a bicycle up a really steep hill? It's pretty
much impossible unless you use the right gear to
increase your climbing force. Once you're back on the straight, it's a
different story. Flick to a different gear and you can go incredibly
fast: you can magically make the wheels turn round much faster than
you're pedalling. Gears are helpful in machines of all kinds, not just
cars and cycles. They're a simple way to generate more speed or power
or
send the power of a machine off in another direction. In science, we
say gears are simple machines.
Photo: Typical machine gears.
Photo by courtesy of NASA Glenn Research Center (NASA-GRC).
What do gears do?

Photo: Unlike in a car, the gears on a bicycle
don't link by meshing together directly. Instead, a lubricated chain
connects together the gears (sprockets) on the pedal with those on the
back wheel. That's simply because the pedal and the back wheel are some
distance apart and a chain is the easiest way to link them together.
Gears are used for transmitting power from one part of a machine
to another. In a bike, for example, it's gears (with the help of a
chain) that take power from the pedals to the back wheel. Similarly,
in a car, gears transmit power from the crankshaft (the rotating axle
that takes power from the engine) to the driveshaft (the central axle
running under the car that ultimately powers the wheels).
You can have any number of gears connected together and you can
make them in various different shapes and sizes. Each time you pass
power from one gear wheel to another, you can do one of three things:
- Increase speed: If you connect two
gears together and
the first one has more teeth than the second one (generally that
means it's a bigger-sized wheel), the second one has to turn round
much faster to keep up. So this arrangement means the second wheel
turns faster than the first one but with less force.
- Increase force: If the second wheel in
a pair of gears has fewer teeth than the first one (that is, if it's a smaller
wheel), it turns slower than the first one but with more force.
- Change direction: When two gears mesh
together, the second one always turns in the opposite direction. So if the first
one turns clockwise, the second one must turn counterclockwise. You can
also use specially shaped gears to make the power of a machine turn
through an angle. In a car, for example, the differential (a gearbox in
the middle of the rear axle of a rear-wheel drive car) uses a
cone-shaped bevel gear to turn the driveshaft's power
through 90 degrees and turn the back wheels.
Why cars need gears
A car has a whole box full of gears—the
gearbox—sitting between the crankshaft and
the driveshaft. But what do they actually do?
A car engine makes power in a fairly
violent way by harnessing the energy locked in
gasoline. It works efficiently only when the pistons in the cylinders
are pumping up and down at high speeds—about 10-20 times a minute. Even
when the car is simply idling by the roadside, the pistons still need
to push up and down
roughly 1000 times a minute or the engine will cut out. In other
words, the engine has a minimum speed at which it works best of about
1000 rpm. But that creates an immediate problem because if the engine
were connected directly to the wheels, they'd have a minimum speed of
1000rpm as well—which corresponds to roughly 120km/h or 75mph. Put it
another way, if you switched on the ignition in a car like this, your
wheels would instantly turn at 75mph! Suppose you put your foot down
until
the rev counter reached 7000 rpm. Now the wheels should be turning
round about seven times faster and you'd be going at 840 km/h or about
525 mph!
It's sounds brilliant, but there's a snag. It takes a massive amount of
force
to get a car moving from a standstill and an engine that tries to go at
top speed, right from the word go, won't generate enough force to do
it.
That's why cars need gearboxes.
To begin with, a car needs a hugh amount of force and very little speed
to get it moving,
so the driver uses a low gear.
In effect, the gearbox is reducing the speed of the engine greatly but
increasing its
force in the same proportion to get the car moving.
Once the car's going, the driver switches to a higher gear. More of the
engine's
power switches to making speed—and the car goes faster.
Changing gears is about using the engine's power in different ways
to match changing driving conditions. The driver uses the gearshift to
make the engine generate more force or more speed
depending on whether hill-climbing power, acceleration from a
standstill,
or pure speed is needed.
What's the catch?

Photo: The gears on the crawler transporter
that moves the Space Shuttle out to
its launchpad.
Photo by courtesy of NASA Kennedy Space Center (NASA-KSC).
You might think gears are brilliantly helpful, but there's a catch. If
a gear
gives you more force, it must give you less speed at the same time.
If it gives you more speed, it has to give you less force. That's
why, when you're going up hill in a low gear, you have to pedal much
faster to go the same distance. When you're going along the straight,
gears give you more speed but they reduce the force you're producing
with the pedals in the same proportion.
Whenever you gain something from a gear
you must lose something else at the same
time to make up for it. If that
weren't the
case, you could use gears to create energy
and make what scientists
call a perpetual motion machine—and that's absolutely forbidden by a
law of physics called the conservation of energy.
Formally
stated, it
says that you can't create or destroy energy, only convert it from
one form into another. To put it more informally, as my old physics
teacher used to say: "You don't get
'owt for nowt" or "There's no gain without pain"!