Question

Write down the kinematic equations for angular motion.

Answer 1

Before writing kinematic equations for angular motion . I want to explain important terms related to angular motion.
• angular displacement : it is the angle swept out by a radius vector in a given time interval. θ(rad) = arc/radius = l/r

• angular velocity : the angle swept out by the radius vector per second is called angular velocity . angular velocity (ω) = θ/t

• angular acceleration : the rate of change of angular velocity is called angular acceleration. e.g., α = (ω₂ - ω₁)/(t₂ - t₁) = ∆ω/∆t

Now, some important kinematic equations are :
1. ω = ω₀ + αt
2. ω² = ω₀² + 2αθ
3. θ = ω₀t + 1/2 αt²

Here, ω is final angular velocity
ω₀ is intial angular velocity
α is angular acceleration
θ is angular displacement.