Measurement and Uncertainty
1. SI units
Learning outcomes
- I can identify the seven SI base units and the physical quantities they measure.
- I can distinguish between base units and derived units.
- I can express measurements using the correct SI units and symbols.
- I can explain why scientists use the International System of Units (SI).
- I can apply SI units correctly in scientific calculations and experiments.
Introduction
Imagine scientists from different countries trying to compare the results of an experiment. If one scientist measures length in feet, another in metres, and another in yards, comparing the results would be confusing and could lead to serious mistakes.
To avoid this problem, scientists around the world use a common system of measurement called the International System of Units, abbreviated as SI (from the French Système International d'Unités).
Using SI units allows scientists, engineers, doctors, and researchers to communicate measurements accurately and consistently.
What are SI Units?
SI units are the internationally agreed standard units used to measure physical quantities.
They are used in:
- Scientific research
- Engineering
- Medicine
- Industry
- Education
- International trade
Using one standard system means that measurements can be understood anywhere in the world.
Physical Quantities
A physical quantity is something that can be measured.
Examples include:
- Length
- Mass
- Time
- Temperature
- Electric current
Every measurement has:
- a number
- a unit
For example:
- 5 m
- 12 kg
- 30 s
- 18 °C (temperature is commonly measured in degrees Celsius, although the SI base unit is the kelvin.)
The Seven SI Base Units
The SI system is built on seven base units.
These are the fundamental units from which all other SI units are derived.
| Physical Quantity | SI Base Unit | Symbol |
|---|---|---|
| Length | metre | m |
| Mass | kilogram | kg |
| Time | second | s |
| Electric current | ampere | A |
| Temperature | kelvin | K |
| Amount of substance | mole | mol |
| Luminous intensity | candela | cd |
Common Measuring Instruments
Each SI quantity is measured using appropriate equipment.
| Quantity | Instrument |
|---|---|
| Length | Ruler, measuring tape, vernier calipers |
| Mass | Electronic balance |
| Time | Stopwatch or clock |
| Temperature | Thermometer |
| Electric current | Ammeter |
Scientists choose instruments based on the required accuracy.
Base Units vs Derived Units
Some quantities can be measured directly.
These use base units.
Other quantities are calculated using combinations of base units.
These are called derived units.
Examples:
| Quantity | Derived Unit |
|---|---|
| Area | m² |
| Volume | m³ |
| Speed | m/s |
| Acceleration | m/s² |
| Force | newton (N = kg·m/s²) |
| Energy | joule (J) |
| Pressure | pascal (Pa) |
Derived units are formed by multiplying or dividing base units.
Writing SI Units Correctly
Scientists follow standard rules when writing SI units.
Symbols
Use the correct symbols.
Correct:
- 5 m
- 12 kg
- 8 s
Incorrect:
- 5 M
- 12 KG
- 8 Sec
Spacing
Leave one space between the number and the unit.
Correct:
12 m
Incorrect:
12m
Unit Symbols
Unit symbols are never plural.
Correct:
5 kg
Incorrect:
5 kgs
Capital Letters
Most unit symbols use lowercase letters.
Examples:
- m
- s
- mol
Units named after scientists begin with a capital letter.
Examples:
- N (newton)
- J (joule)
- Pa (pascal)
- A (ampere)
- K (kelvin)
Why Do Scientists Use SI Units?
A universal system offers many advantages.
It:
- allows scientists worldwide to compare results
- reduces errors in calculations
- simplifies communication
- improves accuracy
- makes experiments easier to reproduce
Without standard units, scientific work would be much more difficult.
SI Units in Calculations
Whenever you solve a scientific problem:
- write the correct units
- include units in every calculation
- check that the final answer has appropriate units
For example:
Distance:
20 m
Time:
4 s
Speed:
20 ÷ 4 = 5 m/s
The units help verify that the calculation is correct.
Real-World Applications
SI units are used in:
- Scientific laboratories
- Hospitals
- Construction
- Engineering
- Aviation
- Space exploration
- Manufacturing
- Weather forecasting
- Environmental monitoring
Almost every scientific measurement relies on SI units.
Worked Examples
Example 1
Which SI base unit measures length?
Answer:
metre (m)
Example 2
Which SI unit measures mass?
Answer:
kilogram (kg)
Example 3
Is m/s a base unit or a derived unit?
Answer:
Derived unit
Example 4
Which quantity is measured in seconds?
Answer:
Time
Example 5
Write the correct SI unit for electric current.
Answer:
ampere (A)
Example 6
A student measures a mass of 350 grams.
Express this measurement in SI base units.
Answer:
0.350 kg
Did You Know?
In 1999, the Mars Climate Orbiter spacecraft was lost because one engineering team used imperial units (pounds-force) while another used SI units (newtons). The mismatch caused the spacecraft to enter Mars' atmosphere at the wrong altitude, leading to the loss of a mission worth hundreds of millions of dollars. This event highlights the importance of using a consistent system of units in science and engineering.
Key Terms
| Term | Definition |
|---|---|
| SI Units | The internationally agreed system of measurement used in science. |
| Physical Quantity | A property that can be measured. |
| Base Unit | One of the seven fundamental SI units. |
| Derived Unit | A unit formed by combining SI base units. |
| Measurement | A number together with a unit describing a physical quantity. |
| Unit Symbol | The standard abbreviation used to represent a unit. |
Key Takeaways
- SI is the international standard system of measurement used in science.
- The SI system has seven base units that measure fundamental physical quantities.
- Derived units are combinations of base units.
- Measurements should always include the correct SI unit and symbol.
- Using SI units allows scientists worldwide to communicate accurately and compare experimental results reliably.
- Correct use of SI units is essential for scientific calculations, experiments, and engineering applications.