phys: misc fixes and improvements #9
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Fixed/Added the following:
Analog instrument uncertainty
Slope/intercept uncertainty
Notes for vector subtraction
Tips and reminders for vectors/magnitude
Update 'docs/sph3u7.md'to phys: misc fixes and improvementsSome good changes, but some phrases could be clarified.
@ -113,3 +116,3 @@
- the instrument states its uncertainty, use that.
- an analog instrument is used, the last digit is estimated and appended to the end of the reported value. The estimated digit is uncertain by 5 at its order of magnitude.
- an analog instrument is used, the uncertainty is half of the smallest scale. (eg if a ruler can measure to $0.1cm$, the uncertainty would $0.005 cm$)
Examples mostly go in admonitions, so this one can be removed.
@ -143,3 +146,3 @@
The uncertainty of the **slope** of the line of best fit is the difference between the maximum and minimum slopes.
$$m_{best fit} ± m_{max}-m_{min}$$
$$m_{\text{best fit}} ± \dfrac{m_{\max}-m_{\min}}{2}$$
MathJax sadly does not support dfrac. It’s just frac.
@ -166,6 +169,9 @@ $$\vec{a} = (1, 1)$$
- The **magnitude** of a vector can be expressed as the absolute value of a vector.
$$|\vec{a}| = 1 \text{ m}$$
!!! info "Reminder"
This can be moved into the description of magnitude or elsewhere instead of taking up valuable screen space in its own box.
@ -179,6 +185,9 @@ When subtracting a vector, **negate** the vector being subtracted by giving it a
<img src="/resources/images/vector-subtract-direction.png" width=700>(Source: Kognity)</img>
!!! note
This information seems like it is already there in the text box above the image.
No, I would highly argue that people do not remember this fact from looking at the diagram or the textbox. In addition, I wrote this here due to the fact that it was not clearly stated.
The last “intercept” is missing
\text
.@ -21,0 +23,4 @@
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**.
This isn’t a definition, and I think it can instead be either a warning or rewritten to be integrated into the page somewhere.
To conform with the rest of the repository, unless they are proper nouns, definitions should be in sentence case and should be bolded:
**Physical quantity**: A measurable property of an object or system, expressed as a product of a magnitude (number) and a unit, in that order.
Closed in favour of #12.
Pull request closed