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) Small angle approximation for a pendulum: θ'' = -(g/L) sin(θ) ≈ -(g/L) θ Period and frequency: f = ω / (2π), T = 1 / f The solution to that equation: x = A cos(ω t + φ), where A is the amplitude, φ is the phase, and ω = √(k/m). 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.
#Physics 101 final exam cheat sheet how to#
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 Moment of inertia for a single particle: I = m r 2 Now, I could just study 'normally,' memorize the concepts and formulas I need, and hope that I execute everything perfectly on the exam- but then, some scrub kid who crammed all the problems on his sheet will ruin the curve, anyway. 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 That final required no actual thought only mindless preparation, and some algebra the day of. 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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