Relation Between Angular Displacement and Linear Displacement – Since, Angle = arc radius Anglular Displacement = arc P1P2 radius = s θ r Angular Velocity Rate of change of angular displacement of a body with respect to time is known as – angular displacement. It is represented by ω. Average Angular Velocity It is defined as the of total angular displacement to total time taken. – = Total Angular Displacement ωavg Total Time Taken = ωavg ∆θ t ∆ Instantaneous Angular Velocity Angular velocity of a body at some particular instant of time is as – instantaneous angular velocity. Or Average angular velocity evaluated for very short duration of time is known as instantaneous angular velocity. = Lim = ω ωavg ∆θ ∆t t→0 ∆
Relation Between Angular Displacement and Linear Displacement – Since, Angle = arc radius Anglular Displacement = arc P1P2 radius θ = s r Angular Velocity – Rate of change of angular displacement of a body with respect to time is known as angular displacement. It is represented by ω. Average Angular Velocity – It is defined as the of total angular displacement to total time taken. ωavg = Total Angular Displacement Total Time Taken ωavg = ∆θ ∆ t Instantaneous Angular Velocity – Angular velocity of a body at some particular instant of time is as instantaneous angular velocity. Or Average angular velocity evaluated for very short duration of time is known as instantaneous angular velocity. ω = Lim ωavg = ∆θ ∆ t→0 ∆t