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Formula Sheets / Physics

Chapter 6

Circular Motion

Revise with flashcards Download this chapter (PDF) All Physics formulas (PDF)

Kinematics of circular motion Dynamics and banking of roads

Kinematics of circular motion

$v = ω r,$ $a_{c} = \frac{v ^{2}}{r} = ω^{2} r,$ $a_{t} = α r,$ $a = a_{c}^{2} + a_{t}^{2}$
$ω = \frac{2 π}{T} = 2 π n,$ $ω = ω_{0} + α t, θ = ω_{0} t + \frac{1}{2} α t^{2}$

Dynamics and banking of roads

Centripetal force
$F = \frac{m v ^{2}}{r}$
Flat road
$v_{m a x} = μ r g$
Banked road
$tan θ = \frac{v ^{2}}{r g}$ (no friction) $;$ $v_{m a x} = r g \frac{μ + tan θ}{1 - μ tan θ}$
Conical pendulum
$tan θ = \frac{v ^{2}}{r g},$ $T = 2 π \frac{L cos θ}{g}$

Laws of Motion Work Power Energy