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Wheel and axle

physical science Maturity 9-11 Next article →

A wheel and axle is a fundamental simple machine. It consists of two disks or cylinders with different diameters. These two parts are mounted together so they rotate around the same axis. The larger part is called the wheel. The smaller, thinner rod is known as the axle. This machine is vital because it allows for the transfer of force between these two parts. It can be used to increase force or to increase speed.

Wheelaxle quackenbos
Wheelaxle quackenbos

The mechanism relies on how force moves from the wheel to the axle. A user applies a tangential force to the outer edge, or periphery, of the large wheel. Because the wheel has a much larger radius than the axle, this creates a mechanical advantage. This term describes the multiplication of force or distance achieved by the machine. The ratio of the output force to the input force is determined by the radii of the two parts. If the wheel is much larger than the axle, a small input force can move a very heavy load.

Wheelaxle quackenbos
Wheelaxle quackenbos

Scientists distinguish between two types of mechanical advantage. The first is the Ideal Mechanical Advantage, or IMA. This calculation assumes a perfect system with no friction or energy loss. In an ideal system, the power input at the wheel must equal the power output at the axle. However, real-world machines face friction, which turns some power into heat. This results in the Actual Mechanical Advantage, or AMA. The AMA is calculated by using the efficiency of the wheel, which is the ratio of power output to power input.

Wheelaxle quackenbos
Wheelaxle quackenbos

History shows that humans have used this machine for millennia. One of the earliest applications was the potter's wheel. In the Middle East, prehistoric cultures used "tournettes," or slow wheels, made of stone or clay. An example from Tepe Pardis, Iran, dates to between 5200 and 4700 BCE. Later, between 4200 and 4000 BCE, people in Mesopotamia developed true, freely-spinning potter's wheels. The oldest surviving example was found in Ur, which dates to approximately 3100 BCE.

Wheelaxle quackenbos
Wheelaxle quackenbos

Wheeled vehicles also emerged in the ancient world. Clay tablet pictographs from the Sumerian civilization in Uruk show wagons dated between 3700 and 3500 BCE. Evidence of wheeled vehicles also appeared in the Northern Caucasus and Eastern Europe during the late 4th millennium BCE. A famous find in Slovenia is the Ljubljana Marshes Wooden Wheel. This wheel was made of ash and oak with a 70 cm radius. The 120 cm long oak axle is dated to between 3360 and 3045 BCE.

Wheelaxle quackenbos
Wheelaxle quackenbos

Different cultures developed various styles of wheel and axle construction. In Europe, two Neolithic types are known. One is the circumalpine type, where the wheel and axle rotate together. The other is the Baden culture type from Hungary, where the axle does not rotate. In China, the earliest evidence of spoked wheels comes from Qinghai. These wheel hubs date to between 2000 and 1500 BCE. These different designs show how various societies solved the problem of movement.

Wheelaxle quackenbos
Wheelaxle quackenbos

We can see the wheel and axle in many different systems. In Roman Egypt, Hero of Alexandria identified it as a tool to lift weights. He described the windlass, which uses a crank or pulley connected to a cylindrical barrel. This device provides mechanical advantage to wind up a rope and lift heavy loads, like buckets from a well. In modern powered vehicles, the system works differently. A car's transmission exerts force on an axle with a smaller radius than the wheel. In this case, the mechanical advantage is much less than 1, but it creates high rotational speed.

Wheelaxle quackenbos
Wheelaxle quackenbos
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