It's also good to know the superposition principle, as well as how frequency is quantized for a string with fixed endpoints. 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) 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. Small angle approximation for a pendulum: θ'' = -(g/L) sin(θ) ≈ -(g/L) θ 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. Period and frequency: f = ω / (2π), T = 1 / f Atmospheric physics lecture notes Phys 102 uiuc Physics 101 uiuc. View PHYS214EquationSheet.pdf from PHYS 214 at University of Illinois, Urbana Champaign. The solution to that equation: x = A cos(ω t + φ), where A is the amplitude, φ is the phase, and ω = √(k/m). PHYSICS OF TECHNOLOGY Spring 2009 Assignment Sheet Introduction Section 0 Lecture 1. 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. It's good to know how to calculate moment of inertia with a double/triple integral, but they won't ask you to do that. Rotational kinetic energy: Er = 1/2 I ω 2 Each atom in a graphene sheet is connected to its three nearest neighbors by a strong -bond. Moment of inertia for a single particle: I = m r 2 Graphene is an atomic-scale hexagonal lattice made of carbon atoms. 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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