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Lecture

# December 4.doc

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School
McGill University
Department
Physics
Course
PHYS 101
Professor
Kenneth Ragan
Semester
Fall

Description
Phys 101 Alanna Houston December 4, 2007 SUMMARY Rotational Motion: - units: rads, rads/sec, rads/sec^2 - angular velocity and acceleration - linear velocity to angular velocity - linear (radial) acceleration - constant angular acceleration - ω = Δθ/Δt - α = Δω/Δt - v = ωr - a = ω^2r - θ = θo + ωt + ½ αt^2 - ω = ωo + αt - ω^2 = ωo^2αθ FINISH Rotational Motion TWO: - torque - moment of inertia - work and rotational kinetic energy - angular momentum (conservation) - τ = rF - I = mr^2 - τ = Iα - KErot = ½ Iω^2 - W = τΔθ - L = Iω Vibration and Waves: - restoring force for SHM - SHM (spring, pendulum) - Displacement, velocity, acceleration are all sinusoidal functions in SHM o (const)sin(2πt/T + phase) o (const)sin(ωt + phase) - F = - (mg/L) pendulum - F = -kx spring - F = 1/T - ω = 2πf - T = 2πsqrt(m/k) spring - Vmax = 2πAF = Aω = Asqrt(k/m) - Amax = v^2max/A = ω^2A - T = 2πsqrt(L/g) pendulum Vibration and Waves TWO: - general wave celocity equation Phys 101 Alanna Houston - wavespeed on stretched spring - energy in wave - intensity (power/area) falloff with distance - intensity of wave - wave reflection, refraction - standing waves on strings - v = λf - v = sqrt(Ft/[m/L]) - E~A^2 - I~1/r^2 - I = 2π^2f^2vpA^2 - θi = θreflection - sinθr/sinθi = vs/v1 - L = nλ/2 - F = v/FINISH Sound: - sound loudness in decibels - behaviour of ear - musical (semi-tone) scale - frequencies produced by col
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