Key Equations

Resource ID: 77lCW0oa@8.4

Grade Range: PreK - 12

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Key Equations

Centripetal acceleration	$a_{c} = \frac{v^{2}}{r}$ or $a_{c} = r ω^{2}$
Centripetal force	$F_{c} = m a_{c}$ , $F_{c} = m \frac{v^{2}}{r}$ , $F_{c} = m r ω^{2}$

Angular acceleration	$α = \frac{Δ ω}{Δ t}$
Rotational kinematic equations	$θ = ω t$ , $ω = ω_{0} + α t$ , $θ = ω_{0} t + \frac{1}{2} α t^{2}$ , $ω^{2} = ω_{0}^{2} + 2 α θ$
Tangential (linear) acceleration	$a = r α$
Torque	$τ = r F \sin θ$

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