Grade 7 → Energy, Work and Power ↓
Simple Machines and Mechanical Advantage
Have you ever wondered how the ancient Egyptians were able to build the pyramids or how cranes are able to lift heavy loads? The secret lies in the use of simple machines and the principle of mechanical advantage. This topic is not only fascinating but also very useful in our daily lives, as simple machines are all around us. In this comprehensive lesson, we will explore simple machines, how they work, and how they give us mechanical advantage in doing work.
What are simple machines?
Simple machines are basic mechanical devices for applying force. They provide a straightforward way to make tasks easier by increasing the force, changing its direction, or increasing the speed of movement. There are six classic types of simple machines which include:
- lever
- inclined plane
- wheel and axle
- pulley
- screw
- nail
Lever
A lever is a rigid bar that rests on a support called a fulcrum. By applying force at one end, the lever rotates around the fulcrum, effectively amplifying the input force to lift or move an object at the other end. Imagine a seesaw on a playground!
The mechanical advantage (MA) of the lever is determined by the ratio of the distance from the fulcrum to the point where the effort is applied to the distance from the fulcrum to the point where the load is applied:
MA = Distance from Effort to Fulcrum / Distance from Load to Fulcrum
For example, if you have a 2 m lever bar whose fulcrum is located 0.5 m from the load, the distance from the effort to the fulcrum will be 1.5 m. Then:
MA = 1.5 / 0.5 = 3
This means that the effort applied at the end of the load will increase three times.
Inclined plane
An inclined plane is a flat surface tilted at an angle, allowing a load to be lifted up or down with less effort than lifting it straight up. Imagine pushing a heavy box up a ramp instead of lifting it straight up.
The mechanical advantage for an inclined plane is calculated as the ratio of the length of the plane to its height:
MA = Length of Incline / Height of Incline
This implies that the greater the inclination relative to the height, the greater is the mechanical advantage, making it easier to move a load upward.
Wheel and axle
A wheel and axle consists of a larger diameter wheel attached to a smaller diameter axle. When force is applied to the wheel, it turns the axle, or vice versa, creating motion.
The mechanical advantage in a wheel and axle system is the ratio of the radius of the wheel to the radius of the axle:
MA = Radius of Wheel / Radius of Axle
This system allows a smaller force to be applied over a greater distance to efficiently drive a larger axle.
Pulley
A pulley consists of a wheel with a groove on its side, through which a rope or chain runs. Pulleys are useful for lifting loads vertically by redirecting the applied force.
Pulleys can be grouped together to form a block and tackle system, providing a mechanical advantage that can be calculated by counting the number of rope segments that support the load:
MA = Number of Rope Segments
More sections allow heavier loads to be lifted more easily.
Screw
A screw is essentially an inclined plane that is wrapped around a cylinder. This converts rotational force into linear motion, allowing the screw to penetrate material or lift a load.
The mechanical advantage of a screw depends on the ratio of its circular motion (circumference) and the distance between the threads:
MA = Circumference of Screw / Lead of Screw
This means that closely threaded screws provide more force over a shorter distance.
The wedge
A wedge is a simple machine that looks like a sharp inclined plane. It is used to separate two objects, or parts of an object, or to hold an object in place. Examples include knives, axes, and door closers.
Wedges convert the force applied to their blunt end into increased force at their sharp end, allowing substances to be separated or broken with less force.
Understanding mechanical advantage
Mechanical advantage (MA) is a measure of the force amplification achieved by using a tool, mechanical device, or machine system. It is calculated as the ratio of output force to input force. With simple machines, this concept helps us understand how to make work easier.
MA = Output Force / Input Force
In practical terms, mechanical advantage allows less force to be used to move a load. For example, pulling a lawnmower up a slope requires less force than lifting it straight up, which is due to the mechanical advantage of inclining.
Applications and text examples
Knowing about simple machines and mechanical advantage is not just academic. These concepts have everyday applications such as:
- Use of a screwdriver: The spiral threads of a screw, combined with a screwdriver, convert rotational force into a much stronger linear force.
- Opening bottles: A bottle opening device uses a lever and fulcrum system.
- Moving heavy furniture: Dollies use wheels and axles.
- Flag hoisting: The flag is hoisted by pulling down a rope in a pulley system.
Conclusion
Simple machines may be just that, but their importance cannot be overstated. Through the principle of mechanical advantage, they enable us to perform tasks that would otherwise require significant physical effort. By understanding and using simple machines, we harness the power of physics to make our lives easier, allowing us to work smarter, not harder.