PHYS 200 Unit 10: Rotational Motion and Angular Momentum

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University Physics PHYS 200 Flashcards on PHYS 200 Unit 10: Rotational Motion and Angular Momentum, created by Adriana Vincelli-Joma on 18/04/2021.
Adriana Vincelli-Joma
Flashcards by Adriana Vincelli-Joma, updated more than 1 year ago
Adriana Vincelli-Joma
Created by Adriana Vincelli-Joma about 3 years ago
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Question Answer
uniform circular motion -motion with constant angular velocity -ω = Δθ / Δt
angular acceleration -rate of change of angular velocity with time -α = Δω / Δt
linear/tangential acceleration -acceleration in direction tangent to circle at point of interest in circular motion -a_t = Δv / Δt
linear and angular displacement -x = θr -θ = x/r
linear and angular velocity -v = rω -ω = v/r
tangential and angular acceleration -a_t = rα -α = a_t/r
Rotational Kinematic Equations -θ = ωt -ω = ω_0 + αt -θ = ω_0t + 1/2 αt^2 -ω^2 = ω_0^2 + αθ
moment of inertia -mass times the square of perpendicular distance from the rotation axis -I = mr^2 (particle)
moment arm perpendicular distance to axis of rotation
torque, angular acceleration, and moment of inertia - τ = (m^2 r)α -net τ = Iα
force and angular acceleration -F = mrα
rotational kinetic energy -KE_rot = 1/2 I ω^2
mechanical energy with rotational motion 1/2 m v_1^2 + 1/2 I ω^2 + mgh_1 = 1/2 m v_2^2 + 1/2 I ω_0^2 + mgh_2
Work-Energy Theorem with Rotational Motion net W = 1/2 I ω^2 - 1/2 I ω_0^2
angular momentum L = I ω
torque and angular momentum net τ = ΔL / Δt
law of conservation of angular momentum -L = constant -L = L'
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