Kinematics Charts

TRANSLATIONAL Name Symbol Units Definition Other position x m velocity v m/s v = Δx / Δt v = x′ acceleration a m / s2 a = Δv / Δt a = v′ = x″ mass m kg force F N = kg·m / s2 F = m·a F = Δp / Δt momentum p kg·m / s p = m·v impulse j N·s = kg·m / s j = F·Δt j = Δp kinetic energy KE J = kg·m2 / s2 KE = 1/2 · m·v2 work W J = kg·m2 / s2 W = F||·Δx W = ΔEtot

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ROTATIONAL Name Symbol Units Definition Other angle θ unitless (or °) θ = arclength / radius angular velocity ω 1/s (or °/s) ω = Δθ / Δt ω = θ′ angular acceleration α 1/s2 (or °/s2) α = Δω / Δt α = ω′ = θ″ moment of inertia I kg·m2 I = m·r2 for point mass otherwise, use formula or integrate torque τ N·m τ = F⊥·r τ = ΔL / Δt angular momentum L kg·m2 / s L = I·ω angular impulse ang j N·m·s = kg·m2 / s ang j = τ·Δt ang j = ΔL rotational kinetic energy KErot J = kg·m2 / s2 KErot = 1/2 · I·ω2 work W J = kg·m2 / s2 W = F||·Δx W = ΔEtot

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