Grade 9 → Mechanics → Simple machines ↓
Types of simple machines
Have you ever tried to lift something very heavy? It can be quite difficult. But imagine if you had a special device that made lifting easier. That's what simple machines do. They help us do work more easily. Simple machines are basic mechanical devices that make it easier to apply force and do work. Let's learn about the different types of simple machines.
Lever
A lever is a rigid bar that rotates around a fixed point called a fulcrum. It helps to lift or move a load with less effort. The seesaw on the playground is a great example of a lever. You might have noticed that when a person sits on it, one end of it goes down while the other end is raised.
There are three classes of levers:
- First-class levers: This is the fulcrum between the effort and the load. Examples include seesaws and scissors.
- Second-class levers: The load is between the fulcrum and the effort. Examples include the wheelbarrow and the nutcracker.
- Third-class levers: The force is applied between the fulcrum and the load. Examples include forceps and fishing rods.
Pulley
A pulley has a wheel with a rope or cable wrapped around it. The pulley can change the direction of the force, making it easier to lift a load. Imagine a flagpole; when you pull the rope down, the flag goes up.
By connecting pulleys, a system can be created that requires less force to lift a heavy object. This is known as a block and tackle system.
Inclined planes
An inclined plane is a flat surface set at an angle to the horizontal. This helps lift heavy objects by pushing or pulling them up a slope rather than lifting them straight up. A common example of this is a ramp.
By increasing the length of the slope, less force is required to move an object up the slope. The disadvantage is that the object has to be moved a greater distance.
Wedges
A wedge is a tool that is thick at one end and thin at the other, used to break, cut, or lift objects. Doors and axes are good examples of wedges.
The nail converts the force applied at its thick end into a force applied at its thin end. It is especially useful in cutting and ripping operations.
Screws
A screw is an inclined plane that is wrapped around a cylinder. It converts rotational force into linear force. Screws are used to hold things together or lift materials. Think of how a screw is used to join pieces of wood or how a bottle cap works.
By turning the screw you apply a small force over a long distance, which makes the screw apply a large force over a short distance.
Wheel and axle
A wheel and axle is a large wheel attached to a smaller axle, the two rotating together. By applying force to the wheel, a load is moved or carried. A doorknob is an example of a wheel and axle.
This system amplifies the force applied, making movement of objects attached to the spindle easier.
Combination of simple machines
In many tools and machinery, simple machines are combined to perform complex tasks. For example, bicycles use wheels and axles, levers (as pedals), and pulleys (inside gear mechanisms) to make riding efficient.
Another example is a car jack, which combines screws and levers to easily lift a vehicle for repairs.
Calculating mechanical advantage
One of the main advantages of using simple machines is that they provide mechanical advantage. Mechanical advantage is the ratio of output force to input force. It shows how much easier a machine makes a task.
Lever
The mechanical advantage of a lever can be calculated using the following formula:
MA = Length of Effort Arm / Length of Load Arm
Where MA is the mechanical advantage, effort arm is the distance from the fulcrum to the point where the effort is applied, and load arm is the distance from the fulcrum to the load.
For example, if the effort arm is 4 m and the load arm is 1 m, then the mechanical advantage is:
MA = 4 / 1 = 4
This means that the lever makes the work 4 times easier.
Pulley
For pulleys, the mechanical advantage depends on the number of rope segments supporting the load. Each supporting rope supports a fraction of the total load, reducing the force required.
Inclined plane
The mechanical advantage of an inclined plane is given by:
MA = Length of Incline / Height of Incline
If the length of the ramp is 10 m and the height is 2 m, then:
MA = 10 / 2 = 5
This means that 5 times less force will be required than the force used to lift the object vertically.
Screw
The mechanical advantage for screws is a little more complicated. It involves the circumference of the screw and the pitch (the distance between the threads). The formula is:
MA ≈ 2πr / Pitch
where r
is the radius of the screw.
Wheel and axle
The mechanical advantage of a wheel and axle can be calculated as follows:
MA = Radius of Wheel / Radius of Axle
For example, if the radius of the wheel is 40 cm and the radius of the axle is 10 cm, then the mechanical advantage is:
MA = 40 / 10 = 4
This means that the machine multiplies the force by 4, making the work easier.
In conclusion, simple machines are an integral part of everyday life, helping to complete tasks with efficiency and ease. Understanding how simple machines work allows us to appreciate the science behind the common tools and equipment we use. Through levers, pulleys, inclined planes, wedges, screws, and wheel and axle systems, we are able to perform tasks more effectively using the principles of mechanics and physics.