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Question		Answer
positive motion direction start learning		przeciwnie do zegara
a tan start learning		r × alfa
a rad (2 sposoby) start learning		omega^2 ×r =v^2/r
angular acceleration average start learning		α= (ω2-ω1)/t2-t1
ω if ang. acc. is constant start learning		ω= ω0 +αt
qngle if ang acc is constant start learning		θ= θ0+ω0t+αt^2/2
condition of rolling start learning		v=ωr
Moment of inertia start learning		I=x(m1r1^2 +m2r2^2+...)
the bigger moment of inertia start learning		the more energy needed, the harder to start rotation
kinetic energy in rotation start learning		E= 1/2 Iω^2
work in rotation start learning		W=FΔx or ΔEk
Potential energy in sprężyna start learning		1/2 kx^2
momentum start learning		p = mv
Steiner start learning		I=I0 + md^2 (d-odleglosc od osi obrotu)
Torque 2 methods start learning		T= r x F (cross product, rFsinθ) OR T=αI (α -angular acc)
density start learning		ρ=m/V
pressure start learning		p=F/A
pressure on the depth start learning		p=p0 + ρgh (p0-cisnienie atmosferyczne 10^5Pa)
weight of object in water start learning		w=ρ object V zanurzone g
BUOYANCY weight of displaced fluid =sila wyporu start learning		B=ρ fluid V displaced g = mg jesli sytuacja jest stanilna
fluid movement mass conservation start learning		p1A1v1=p2A2v2
Bernoulli's equation - comparing points in the same flowtub start learning		p + ρgh + 1/2ρv^2 =const.
Δ thermal expansion start learning		ΔL=αL0Δt (α - thermql expansion cooficiant)
lenght after thermal expansion start learning		L=L0 + αL0ΔT
volumetric expansion start learning		ΔV=3αV0ΔT
change temperature by Q start learning		Q= cmΔT
molar heat capacity start learning		C=mc
phase change Q start learning		Q=mL
conduction heat start learning		Q= kAΔT (A-powierzchnia styku
thermal resistance start learning		R=L/(Ak) (L-lenght, A - area of section)
heat radiation start learning		H=σeAT4 (A -surface area, σ-stała Stefana Boltzmana, e - material propety)
H net heat radiation start learning		H net =σeAT4 enviroment - σeAT4 object
Young's modulus start learning		y= F lo / AΔl (lo- poczatkowa dlugosc rozciaganego ciala)
Bulk stress start learning		B= -Δpvo/Δv (p pressure v objetosc)
Shear stress start learning		S=Fh/Ax
prędkość katowa - oscillation start learning		ω=2πf
Hooke's law (restoring force) start learning		F=-kx
oscillation: x(t) start learning		x(t)= A cos (ωt + θ)
oscillation: v(t) start learning		v(t)=-ωAsin(ωt+θ)
oscillation: a(t) 2 methods start learning		a(t)= (-k/m) x(t) OR a(t)=-ω^2 A cos(ωt+θ)
Predkosc katowa ω w oscylacji start learning		ω= sqrt (k/m)
for small θ k dla wahadla start learning		k= mg/L
for small θ T start learning		T= 2π sqrt(L/g)
wave velocity start learning		v=λ/T
wave function start learning		y(x,t)= A cos(kx - ωt)
wave number start learning		k= 2π/λ
wave ω start learning		ω = vk
wave v(t) start learning		v(t)= ωA sin (kx-ωt)
wave a(t) start learning		a(t)= -ω^2 A cos(kx- ωt)
wave speed start learning		v= sqrt restoring force/inertia resisting the force
max wave power start learning		P max = sqrt(μF) ω^2A^2
Intensity of wave start learning		I = P/A (if 3D wave, the area= 4πr^2)
intensity to r of 2 waves start learning		I1/I2= r2^2 /r1^2
string fixed with 2 ends λ start learning		λ= 2L/n
normal mode frequency start learning		f= nv/2L
fundamental frequency start learning		sqrt(F/μ)/2L
speed of sound wave in fluid start learning		v=sqrt (B/ρ) B-Bulk modulus
speed of sound wave in q rod start learning		v= sqrt(Y/ρ) Y-Yungs modulus
speed of sound in ideal gas start learning		v= sqrt (γRT/M) M-molar mass
sound power max start learning		P= 1/2 sqrt(μF)ω^2A^2 (in fluid μ>ρ, F>B)
sound intensity start learning		I=Pmax/2ρv
open pipe f start learning		f= nv/2L
open pipe lenght start learning		L=nλ/2
stopped pipe f start learning		f=nv/4L but n is nieparzyste
stopped pipe lenght start learning		L=nλ/4 but n nieparzyste
beat frequency start learning		f= \|f1-f2\|
voltage 2 methods start learning		V=U/q (U - potential energy) OR V=EL (E-electric field, L-lenght of wire)
current 2 methods start learning		I=Q/Δt OR I=nAqv (n-number of charges per unit of volume, A-area of section, v- drift velocity) OR
Ohm's law start learning		R=V/I
electric field start learning		E= F/q
current density start learning		J=I/A
Resistivity start learning		ρ=R/J (E-electric field, J-current density)
Resistence (not from Ohms law) start learning		R=ρL/A (ρ-Resistivity, L-lenght of wire, A-area of section)
electromotive force start learning		ε=IR (often happens that I(R+r))
woltomierz start learning		równolegle, R>nieskończoność
amperomierz start learning		szeregowo, R>0
internal energy of resistor start learning		U=NqΔV (V-voltage, N-number of charges)
power of resistor 2 methods start learning		P= U internal /Δt = ΔV^2/R
capacitor start learning		C= Q/ΔV
forth kinematic formula start learning		v^2=v0^2+2aΔx (Δx-przemieszczenie)

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