# How does the mechanical advantage of a wheel and axle change as the radius of the wheel increases?

## How does the mechanical advantage of a wheel and axle change as the radius of the wheel increases?

The mechanical advantage means that the machine can exert X times the amount of force as the effort. For the wheel and axle, the mechanical advantage is directly correlated to the radii of the wheel and axle. The larger the mechanical advantage of the machine, the greater the force that the machine can output.

## How does force change when it is applied to the axle of a wheel and axle?

Like all other simple machines the wheel and axle system changes the force by changing the distance over which the force must be applied; if the input force is reduced to the output force, then the force must be applied over five times the distance. The wheel and axle both rotate at the same rate.

What is the mechanical advantage we gain by using a wheel and axle?

Wheel and axle. The ideal mechanical advantage (IMA) of a wheel and axle is the ratio of the radii. If the effort is applied to the large radius, the mechanical advantage is R/r which will be more than one; if the effort is applied to the small radius, the mechanical advantage is still R/r, but it will be less than 1.

### Are the wheel and axle of the same size?

However, because the wheel and axle are of different sizes, force gets modified as it is transmitted: A small force applied over a long distance (the circumference of the wheel) is converted into a larger force applied over a shorter distance (the circumference of the axle).

### What is the importance of mechanical advantage?

Mechanical advantages allows humans to perform tasks much easier in terms of the force they need to apply, but must always obey the conservation of energy. Mechanical advantage is a measure of the ratio of output force to input force in a system, used to analyze the forces in simple machines like levers and pulleys.

Which type of wheel and axle has the greatest mechanical advantage?

Answer: Wheel and axle B has a greater mechanical advantage. Dividing the radius of the wheel by the radius of the axle will give a larger number.

#### How does a wheel and axle function?

Wheels and axles work either by draping rope around a grooved wheel to lift objects (pulleys) or by rotating the wheel around a fulcrum (axle) to move objects horizontally. Effort force can be applied to the wheel (e.g., door knob) or the axle (e.g., car tires).

#### When you turn the axle of a wheel and axle the wheel travels a greater?

When the input force is applied to the axle, as it is with a Ferris wheel, the wheel turns with less force. Because the output force is less than the input force, the mechanical advantage is less than 1. However, the wheel turns over a greater distance, so it turns faster than the axle.

How do you find mechanical advantage?

To determine its mechanical advantage you’ll divide the length of the sloped side by the width of the wedge. For example, if the slope is 3 centimeters and the width is 1.5 centimeters, then the mechanical advantage is 2, or 3 centimeters divided by 1.5 centimeters.

## What is the purpose of using different sizes of axles?

By varying the radii of the axle and/or wheel, any amount of mechanical advantage may be gained. In this manner, the size of the wheel may be increased to an inconvenient extent. In this case a system or combination of wheels (often toothed, that is, gears) are used.

## What is the mechanical advantage of a wedge?

The mechanical advantage of a wedge is given by the ratio of the length of its slope to its width. Although a short wedge with a wide angle may do a job faster, it requires more force than a long wedge with a narrow angle. The force is applied on a flat, broad surface.

What is the mechanical advantage gained in the system?

The theoretical mechanical advantage of a system is the ratio of the force that performs the useful work to the force applied, assuming there is no friction in the system. In practice, the actual mechanical advantage will be less than the theoretical value by an amount determined by the amount of friction.

### What is the mechanical advantage of wheel and axle?

Mechanical Advantage of Wheel and Axle = M.A = Radius of the wheel/radius of the axle = R/r. As R > r, the MA of wheel and axle is always greater than 1. Wheel and axle is actually a form of lever. The difference is that the effort arm can rotate in a complete circle around the fulcrum, which is the center of the axle.

### What is force force transfer from the axle to the wheel?

Force is usually transferred from the axle to the wheel. The mechanical advantage of the wheel and axle is essentially the ratio of the radius of the wheel over the radius of the axle. Remember that the radius of a circle is half its diameter. The ratio of the radii of the wheel and axle gives you the mechanical advantage.

What would be the mechanical advantage of the Ferris wheel?

If the radius of the ferris wheel is 40 feet and the radius of the axle that spins the wheel is 5 feet, what would be the mechanical advantage of the ferris wheel? Radius of the wheel / Radius of the axle = 40 / 5 = 8. The mechanical advantage of the ferris wheel is 8. Of the two examples we just discussed, which is a more powerful simple machine?

#### What type of simple machine is a wheel and axle?

The wheel and axle is classified as one of the six simple machines (the other five are the lever, pulley, inclined plane, wedge and screw). We use simple machines because they give us a mechanical advantage.