Lessons β€Ί 1 FoundationsNext lesson

1.1 Dimensions and Units

By the end of this lesson you can:

  • Identify SI base units and derived units
  • Use dimensional analysis to check an equation
  • Convert units and use significant figures and scientific notation correctly
πŸŽ₯ Watch
Learn the idea: a short explanation, then a check.

Mathematics & Scientific Principles

Before we dive into physics, we need to lay some groundwork. First, we must understand the core mathematical principles involved in physical laws; second, we need to understand the scientific process itself.


Mathematics is the language of physics. When scientists conduct experiments, they measure quantities and establish relationships between variables. To do this effectively, we need to understand:

  • What we measure
  • How we measure
  • How we represent values
  • How we analyze and establish relationships


Why Do We Need Standard Units?

Imagine trying to trade or build when one person measures length in inches and another in metresβ€”it creates confusion and inconsistency.

To ensure scientists worldwide can accurately communicate and reproduce experiments, the scientific community established the International System of Units (SI units).

Key Concepts:

  • πŸ“ Dimension: The measurable physical quantity (e.g., length, mass, time, temperature).
  • πŸ“ Unit: The standard reference used to measure that dimension (e.g., metres, kilograms, seconds).
  • 🌍 SI Units: The universal standard ensuring global consistency across all scientific fields.


The Core Distinction

Term What It Means Example
Dimension What you measure Length, Mass, Time
Unit How you express it Metre, Kilogram, Second
Why SI Units Matter:

Using different units causes confusion and costly errors. The International System of Units (SI) ensures scientists globally speak the exact same mathematical language.

πŸ‘‰ Watch the video to see how SI standards form the foundation of physical science.

πŸ“Practise
1. Which of the following is an SI base unit?
2. Which of these is equivalent to 1 newton?
3. A car is travelling at 72 km/h. What is its speed in m/s?