Grade 9 ยท Mechanical Systems ยท Term 2 ยท Lesson 1

Hydraulics & Pneumatics

Two syringes and a tube can lift a car. Discover how liquids and gases transfer force, and how cylinder size trades force for distance.

Force transfer with syringes

Take two syringes of the same size, connect them with a tube, and fill the system with a fluid. Pushing the plunger of one syringe (the "driver" or "master") forces the fluid through the tube and pushes out the plunger of the other syringe (the "driven" or "slave"). This is the simplest possible way to transfer force from one place to another without any direct mechanical link.

Pneumatic vs hydraulic: if the system is filled with compressed air, it is a pneumatic system โ€” gases are compressible, so some of your push is "soaked up" squeezing the air smaller before it moves the other plunger, giving a slightly springy, spongy feel. If the system is filled with water (or oil), it is a hydraulic system โ€” liquids are incompressible, so a push on one plunger is transferred almost instantly and precisely to the other, with a solid, direct feel.

Pascal's principle

Pascal's principle states that pressure exerted on one part of an enclosed fluid is transferred equally, without loss, in all directions to every other part of the system. This is the reason hydraulic systems work reliably: whatever pressure you apply at the driver piston is felt equally throughout the fluid and acts on every surface it touches, including the driven piston.

Force multiplication and force division

If the two syringes (cylinders) are the same size, pushing one plunger in by a certain distance pushes the other plunger out by the same distance, with the same force โ€” nothing is gained or lost. But if the cylinders are different sizes, something interesting happens: because the same volume of liquid moves through both cylinders, a small cylinder must move a lot further than a large cylinder to shift the same volume.

You can never get more force AND more distance for free โ€” a hydraulic system always trades one for the other. Force out ร— distance out โ‰ˆ Force in ร— distance in.

The hydraulic press and hydraulic jack

A hydraulic press uses a small-diameter input piston and a large-diameter output piston to multiply force, allowing a modest push to generate an enormous squeezing force โ€” used to crush cars, press metal panels, or compact waste. A hydraulic jack works the same way: repeatedly pumping a small lever piston pushes small amounts of oil into a much larger piston under the car, gradually lifting a heavy load with modest hand force. A one-way valve lets more oil in on every pump stroke while stopping it flowing back, so the load stays lifted between strokes.

Simple calculation: Force out = Force in ร— (Area of output piston รท Area of input piston). For example, if the input piston has an area of 2 cmยฒ and the output piston has an area of 20 cmยฒ (10 times bigger), a push of 50 N on the input piston produces 50 N ร— (20 รท 2) = 500 N at the output piston.

Systems diagrams

A systems diagram describes how a device works by showing INPUT (what goes in โ€” e.g. a person pumping a lever), PROCESS (what happens inside โ€” e.g. oil is pushed from a small cylinder into a large cylinder through a one-way valve) and OUTPUT (the result โ€” e.g. a heavy load is raised). Drawing a hydraulic jack as a systems diagram helps you explain the process clearly without needing full engineering drawings.

Input
Person pumps the small hand lever up and down
โ†’
Process
Oil is pushed from the small piston, through a one-way valve, into the large piston
โ†’
Output
The large piston rises, lifting the heavy load (e.g. a car)

Design evaluation: fitness-for-purpose

Once a solution (like a hydraulic jack) has been designed or chosen, it should be evaluated against a standard set of questions:

Hydraulic Press Calculator

Set the diameter of the input (driver) and output (driven) pistons to see the force multiplication ratio and how far each piston moves.

Area ratio (MA)
16.0ร—
Force out
800 N
Input moves
160 mm
Output moves
10 mm
0/6
Review the explanations above.
Answer in your exercise book. Show all working for calculations.
Question 1 ยท (2 marks)
Explain the difference between a pneumatic system and a hydraulic system, referring to compressibility.
Question 2 ยท (2 marks)
State Pascal's principle in your own words.
Question 3 ยท (4 marks)
A hydraulic jack has an input piston of area 4 cmยฒ and an output piston of area 40 cmยฒ. (a) Calculate the mechanical advantage (area ratio). (b) If a force of 60 N is applied to the input piston, calculate the force produced at the output piston.
Question 4 ยท (3 marks)
Draw a simple systems diagram (Input โ†’ Process โ†’ Output) describing how a hydraulic jack lifts a car.
Question 5 ยท (5 marks)
List five questions you should ask when evaluating whether a hydraulic jack design is fit for purpose.