Oscillations 5.0 / 5 based on 2 ratings ? PhysicsOscillations equationsUniversityNone Created by: cmidonaCreated on: 17-12-13 19:23 Angular frequency ω = 2πf 1 of 22 Displacement as a function of time x = xm cos(ωt + φ) 2 of 22 velocity as a function of time v = -vm sin(ωt + φ) 3 of 22 Acceleration as a function of time a = -am cos(ωt + φ) 4 of 22 Angular frequency ω = sqrt(k/m) 5 of 22 Time period of spring with mass T = 2π sqrt(m/k) 6 of 22 Restoring torque τ = Iα 7 of 22 Elastic potential energy U = 1/2 kx^2 8 of 22 Spring force and constant F = -kx 9 of 22 Equation of motion d^2x/dt^2 = -k/m x(t) 10 of 22 Restoring torque of a physical pendulum τ = -hFsinθ 11 of 22 Angular equation of motion d^2θ/dt^2 = -mgh/I θ 12 of 22 Damping force and constant F = -bv 13 of 22 undamped b/2m = 0 14 of 22 underdamped b/2m < ω 15 of 22 overdamped b/2m > ω 16 of 22 critical damping b/2m = ω 17 of 22 Total mechanical energy E = 1/2 kx^2 18 of 22 Quality factor Q= 2π (energy stored in the oscillator)/(energy dissipated in one cycle 19 of 22 Quality factor for underdamped oscillator Q = τω 20 of 22 Forced oscillations F = F0 cost(ωt) 21 of 22 Resonance ωres = sqrt(ω^2 - (b^2/2m^2)) 22 of 22

## Comments

No comments have yet been made