Major physical example: gravitational force
Newton's gravitational law contains
𝐹∝
1
𝑟2
So if the distance between two objects doubles:
𝐹→
𝐹
4
𝐹→
𝐹
9
If the distance becomes three times larger:
This is exactly the type of relationship CEnT-S can test without requiring you to calculate a
complicated number.
3.6 Sinusoidal dependence
This is associated with periodic phenomena.
The basic form is:
𝑦 = 𝐴sin⁡(𝜔𝑡 + 𝜙)
or
𝑦 = 𝐴cos⁡(𝜔𝑡 + 𝜙)
You should understand the components.
𝑨: amplitude
The amplitude is the maximum displacement from the equilibrium/middle value.
If
𝑦 = 5 sin 𝑡
then
𝐴=5
The function ranges between:
−5 ≤ 𝑦 ≤ 5