The natural way to measure Angular Motion

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Presentation transcript:

The natural way to measure Angular Motion Radians The natural way to measure Angular Motion

Angular Displacement & Radians Angular displacement (θ) is a vector measure of “How far around” Radians& degrees measure angular displacement All Circles have a Circumference 2πr Thus All circle are 2π radiuses, or 2π radians around. Angular displacement is a vector so… Counter-clockwise is considered positive, Clock-wise is negative.

ω = Δθ∕Δt Angular Velocity Angular Velocity (ω) is the vector measure of the rate of change of angular displacement ω = Δθ∕Δt

α = Δω∕Δt Angular Acceleration Angular acceleration (α) is the rate of change of angular velocity α = Δω∕Δt

Converting Angular to Linear (Tangential) Measures Finding linear equivalent displacement (s) s = θr Finding tangential velocity (vt) vt = ωr Finding tangential acceleration (at) at = αr

Angular Versions of Centripetal Formulae Using Angular Velocity (ω) in place of tangential : ac = ω²r & Fc = mω²r