![]() ![]() The only necessary equation is v = λ f (If you have the math background, the wave equation could come in handy, but it's probably definitely overkill). ![]() Pressure relative to the surface of a fluid: ΔP = ρ g hīe able to analytically solve the Navier-Stokes equations justkidding Pendulum period and frequency: f = 1 / (2π) √(g/L), T = 2π √(L/g) Small angle approximation for a pendulum: θ'' = -(g/L) sin(θ) ≈ -(g/L) θ Period and frequency: f = ω / (2π), T = 1 / f No other written or printed materials are allowed. At the end of each midterm your equation sheet with your name on will be stapled onto your exam paper and both documents will be handed in. The solution to that equation: x = A cos(ω t + φ), where A is the amplitude, φ is the phase, and ω = √(k/m). Says on the syllabus 'You may bring with you one 8.5 x 11 sheet of paper with formulas or equations from the textbook you wish to write on it. The differential equation for a simple harmonic oscillator: x'' = -(k/m) x They'll probably give you a table, but you might want to have the formulas common shapes (rod, cylinder, sphere, etc) written down. This original creation explores physics through the performing arts. Watch Professor Baym's segment starting at 0:11:22. Here is a video with interviews of the exceptional scientists who were honored with Medals and Society Prizes this year. #Uiuc physics 101 equation sheet how toIt's good to know how to calculate moment of inertia with a double/triple integral, but they won't ask you to do that. Illinois Physics Professor Gordon Baym received the 2021 APS Medal for Exceptional Achievement in Research. Rotational kinetic energy: Er = 1/2 I ω 2 Moment of inertia for a single particle: I = m r 2 When you represent an angular quantity as a vector, it's along the axis of rotation, in a direction given by the right hand rule.ĭefinitions of angular velocity and acceleration: ω = dθ/dt, α = dθ/dtĬonverting between linear and angular: s = r θ, v = r ω, a = r αĪngular kinematics (same as linear): θ = θ0 + ω0 t + 1/2 α t 2 In addition, you should have a good grasp of conservation of angular momentum.Īlso, right hand rule! Seriously, get good at it now, cause when you're in 1120, or E&M, or plasma physics ( especially plasma physics), you need to have that shit down cold. ![]() For example, the equations α = dω/dt and τ = I α are analogous to a = dv/dt and F = m a. The most important thing to remember here is that all quantities are rotational analogues of position, velocity, acceleration, force, mass, and momentum. For topics covered before the second midterm, see this post. ![]()
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