Reading...
Play button
Play button
Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
14 Cards in this Set
- Front
- Back
|
Kinematic Equations:
|
x = v*t = ½*[v(i) + v(f)]*t
v = v(i) + a*t x = v(i)*t + (1/2)*a*t² x = v(f)*t - (1/2)*a*t² v(f)² = v(i)² + 2*a*x |
|
|
Gravity Equations:
|
F(g) = w = m*g
F(g) = G*M*m/r² g = G*M/r² |
|
|
Uniform Circular Motion:
|
a(c) = v²/r
F(c) = m*a(c) = m*(v²/r) |
|
|
Work, Energy, Power:
|
W = F*d*cos(θ)
KE = ½mv² W(total) = ∆KE P = W/t; P = F*v if F || v, and v is constant PE(grav) = mgh; for distances close to the earth's surface E = KE + PE; E(i) = E(f) E(i) + W(non-conserv forces) = E(f) |
|
|
Impulse-Momentum Theorem:
|
J = ∆p
J = F*t p = m*v F∆T = m∆v |
|
|
Stress/Strain:
|
Stress = F / A
Strain = ∆L / L ∆L = F*L / E*A |
|
|
Fluids Equations:
|
ρ = m / V; ρ(water) = 1000 kg/m^3
specific gravity = ρ / ρ(water) F(bouy) = ρ(fluid)*V(sub)*g P = F(perp) / A P = P(i) + ρ*g*D = P(atm) + ρ*g*D [if P at surface is P(atm)] P(gauge) = P - P(atm) F₁ / A₁ = F₂ / A₂ Volume flow rate = A*v A₁*v₁ = A₂*v₂ P₁ + ρ*g*y₁ + ½*ρ*v₁² = P₂ + ρ*g*y₂ + ½*ρ*v₂² |
|
|
Electric Circuits:
|
I = Q / t
V = I*R R = ρ*(L / A) R(series) = R₁ + R₂ + ... R(parallel): 1/[R(p)] = 1/[R₁] + 1/[R₂] + ... ∴ R(p) = (R₁*R₂) / (R₁ + R₂); only works for 2 resistors Power in circuit: P = I*V = I² * R = V² / R Power in AC circuit: P(bar) = I(rms)*V(rms) = [I(max)/√(2)]*[V(max)/√(2)] |
|
|
Oscillations and Waves:
|
F(spring) = -k*x
PE(spring) = ½*k*x^2 f = 1/T; T = 1/f f = [1/(2π)]*√(k/m) T = 2π*√(m/k) f(simple pend) = [1/(2π)]*√(g/L) lambda*f = v v =√[F(t) / µ] =√[F(t) / (m / L)] Harmonic frequencies = n*v / 2L Harmonic wavelengths = 2L / n |
|
|
Sound:
|
v = √( B / ρ )
Intensity = Power / Area Intensity-level (dB) = β = 10*log[ I / I(i) ] Harmonic f [open ends] = n*v / 2L Harmonic λ [open ends] = 2L / n Harmonic f [closed ends] = n*v / 4L Harmonic λ [closed ends] = 4L / n; (odd n) f(beat) = |f₁ - f₂| Doppler effect: f(D) = [v ± v(D)] / [v ∓ v(s)] * f(s) |
|
|
Electro- & Magnetostatics:
|
F(E) = k*Q*q / r²
Electric field due to Q: E = k*Q/r² Electric force by field: F(E) = q*E Electric potential due to Q: Φ = k*Q/r ∆PE(E) = q∆Φ = q*V Magnetic Force: F(M) = q(v*B) F(M) = q*v*B*sin(Θ) |
|
|
Light and Optics:
|
E(photon): h*f = h*c / λ; c = 3 * 10⁸ m/s
index of refraction: n = c / v n₁*sin[θ₁] = n₂*sin[θ₂] TIR: if θ₁ > θ(crit), where θ(crit) = n₂ / n₁ Mirror-Lens: 1/o + 1/i = 1/f Focal length = R / 2 Magnification: m = -i / o Lens power: P = 1/f; P(combination) = P₁ + P₂ |
|
|
Capacitors:
|
Capacitance = Q / V
C(parallel-plate) = ε(i)*A / d C(with dielectric) = κ*C(without) Electric field between plates: E = V / d PE(E) = ½*Q*V = ½*C*V² = Q² / 2C Capacitor(series) = 1/[C(s)] = 1/C₁ + 1/C₂ + ... Capacitor(parallel) = C(p) = C₁ + C₂ + ... |
|
|
Torricelli's Result:
|
v(efflux) = √(2*g*D)
v(falling) = √(2*g*h) |
