Summary16 - Summary Lecture 16 Rotational and Linear Motion...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Summary Lecture 16 Rotational and Linear Motion and Linear Motion Displacement Linear: Rotational: Conversion: Arc-length l: Velocity Δx, measured in [m] Δθ, difference in angle difference in angle measured in [rad] 360 degrees = 2π rad θ[rad] = θ[degrees] *2π/360 *2 l = θ r; θ in [rad] Linear: Rotational: v = Δx/Δt, measured in [m/s] ω = Δθ/Δt, measured in [rad/s] Period Frequency T = time for one revolution f = # of revs per second f = 1/T ω = 2π/T = 2πf Acceleration Linear: Rotational: a = Δv/Δt, measured in [m/s2] α = Δθ/Δt; measured in [rad/s2] Uniformly Accelerated Motion: (constant acceleration) Linear v = v0+at x = x0+v0t+1/2at2 v2 = v02+2aΔx v = (v+v0)/2 Rotational ω = ω 0 + αt θ = θ0+ω0t+1/2αt2 ω2= ω02 + 2αΔθ ω = (ω + ω0)/2 + centripetal acceleration ac = v2/r = ω2r The Object vs. Individual Points Frequency, period, angular velocity and angular acceleration are properties of the body as whole of the body as a whole, i.e. every point moves with the same angular velocity. (T, f, ω, α) Each individual point also has a linear velocity, a linear acceleration and as always in circular motion a centripetal acceleration: vT = Δx/Δt = 2πr/T = ωr a T = Δ v /Δ t = Δ ω /Δ t r = α r aC = vT2/r = ω2 r ...
View Full Document

This note was uploaded on 12/06/2011 for the course PHYSICS 111&112 taught by Professor Unknown during the Spring '11 term at Ohio State.

Page1 / 3

Summary16 - Summary Lecture 16 Rotational and Linear Motion...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online