Rotational Kinematic 3

\omega^2 = \omega_0^2 + 2\alpha(\theta - \theta_0)

Rotational analog of v² = v₀² + 2a(x - x₀). Time-independent rotational kinematic equation.

Variables

Final angular velocity

Angular velocity at angle θ

rad/s

ω₀

Initial angular velocity

Angular velocity at angle θ₀

rad/s

Angular acceleration

Constant angular acceleration

rad/s²

Final angle

Final angular position

rad

θ₀

Initial angle

Initial angular position

rad

Eliminate t from rotational kinematic equations 1 and 2.

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