Rotational Kinematic 2

θ = θ_{0} + ω_{0} t + \frac{1}{2} α t^{2}

Rotational analog of x = x₀ + v₀t + ½at². Relates angular position to time.

Variables

Final angle

Angular position at time t

rad

θ₀

Initial angle

Angular position at t=0

rad

ω₀

Initial angular velocity

Angular velocity at t=0

rad/s

Angular acceleration

Constant angular acceleration

rad/s²

Time

Elapsed time

Integrate ω = ω₀ + αt: θ = ∫ω dt = ω₀t + ½αt² + θ₀.

0/5000