Physics › Equations › Periodic motion

Periodic motion equations

The 11 equations the periodic motion notes display, each with a link to the lesson that states it. Of the 11, the data booklet prints 8 and 3 carry no badge either way.

Year 13 · 4 lessons with equations.

The marks refer to the AQA 7408 data booklet. An equation it prints is marked as such, and one it leaves out is marked to learn. An equation with no mark has not been checked against that booklet, and some of these belong to the Edexcel, OCR or CIE specification rather than AQA’s, so check them against your own board’s data or formula booklet.

4 lessons

Circular motion

ω=vr=2πf\omega = \frac{v}{r} = 2\pi fIN THE AQA DATA BOOKLET
a=ΔvΔt=vΔθΔθ/ω=vωa = \frac{\Delta v}{\Delta t} = \frac{v\Delta\theta}{\Delta\theta/\omega} = v\omega
a=v2r=ω2ra = \frac{v^{2}}{r} = \omega^{2}rIN THE AQA DATA BOOKLET
F=mv2r=mω2rF = \frac{mv^{2}}{r} = m\omega^{2}rIN THE AQA DATA BOOKLET

Simple harmonic motion

a=-ω2xa = -\omega^{2}xIN THE AQA DATA BOOKLET
x=Acos(ωt)x = A\cos(\omega t)IN THE AQA DATA BOOKLET
v=±ωA2-x2v = \pm\omega\sqrt{A^{2} - x^{2}}IN THE AQA DATA BOOKLET

The mass on a spring and the simple pendulum

T=2πmkT = 2\pi\sqrt{\frac{m}{k}}IN THE AQA DATA BOOKLET
T=2πlgT = 2\pi\sqrt{\frac{l}{g}}IN THE AQA DATA BOOKLET

Energy in an oscillation and damping

E=12kA2E = \frac{1}{2}kA^{2}
E=12mω2x02E = \frac{1}{2}m\omega^{2}x_{0}^{2}

Every equation in the library is indexed by unit on the equation index, and the periodic motion notes are where these equations are derived and used.

Also: Electricity equations · Thermal physics equations