diff --git a/docs/sph3u7.md b/docs/sph3u7.md index 2136be9..beb7ac1 100644 --- a/docs/sph3u7.md +++ b/docs/sph3u7.md @@ -18,6 +18,27 @@ Every other SI unit is derived from the fundamental SI units. Memorise these! | Amount of substance | Mole | mol | | Luminous intensity | Candela | cd | +### Derived units + +These are units that are derived from SI units, meaning that they can be broken down into an expression of SI units. These are also known as **preferred units**. + +TODO: add more derived units + +|Name|Symbol|Concept|Broken down into SI units| +|---|---|---|---| +|Newton|$N$|Force or weight|$$\frac{Kg \times m}{s^2}$$| +|Joule|$J$|Energy or work|$$\frac{kg \times m^2}{s^2}$$| +|Watt|$W$|Power|$$\frac{kg \times m^2}{s^3}$$| +|Pascal|$Pa$|Pressure|$$\frac{kg}{m \times s^2}$$| + +!!! info "Reminder" + Note that on an assesment, you are expected to derive the SI unit expression given the equation of unit. + For example Force = mass x acceleration = mass x distance / time / time = $kg \times m \times s^{-2}$. + +!!! note "Definition" + Physical Quantity: must always be expressed as the product of **magnitude**(number) and a **unit**. + Example: $$10m$$ (10 meters). + ### Metric prefixes Every SI unit can be expanded with metric prefixes. @@ -145,9 +166,9 @@ Error bars represent the uncertainty of the data, typically representing that da (Source: Kognity) The uncertainty of the **slope** of the line of best fit is the difference between the maximum and minimum slopes. -$$m_{\text{best fit}} ± \dfrac{m_{\max}-m_{\min}}{2}$$ +$$m_{\text{best fit}} ± \frac{m_{\max}-m_{\min}}{2}$$ The uncertainty of the **intercepts** is the difference between the intercepts of the maximum and minimum lines. -$$\text{intercept}_{\text{best fit}} ± \dfrac{\text{intercept}_{\max} - intercept_{\min}}{2}$$ +$$\text{intercept}_{\text{best fit}} ± \frac{\text{intercept}_{\max} - intercept_{\min}}{2}$$ ## 1.3 - Vectors and scalars