Formula Sheet for Final Exam

Physics 191 – Formula Sheet
d = vi t + ½ a t 2
θ = ωi t + ½ α t2
d = ½ (vf + vi) t
θ = ½ (ωf + ωi) t
vf = vi + a t
vf2 = vi2 + 2 a d
ωf = ωi + α t
ωf2 = ωi2 + 2 α (θ)
ΣF = ma
v2
aR =
R
Ffr = µk FN
Στ = I α
Ffr ≤ µs FN
vT = Rω;
K
K
K
v AC = v AB + v BC
s = Rθ
v=
τ = r F sin θ
aT = Rα
2πR
T
ρ=
W = F d cos θ
PE = mgh
Wnc = ∆KE + ∆PE
I = m1r12 + m2r22
W
t
AMA =
η=
Fout
Fin
m
V
W=τθ
m x +m x
xcm = 1 1 2 2
m1 +m 2
ρ A x +ρ A x
xcm = 1 1 1 2 2 2
ρ1A1 +ρ 2 A 2
A x +A x
xcm = 1 1 2 2
A1 +A 2
KE = ½ m v2 + ½ I ω2
P=
vrolling = Rω
I & = I CM + Mh 2
Pout
x100%
Pin
eff = η =
IMA =
d in
d out
AMA
IMA
d3
Sine/Cosine Law
sin θ1 sin θ 2 sin θ 3
Sine Law:
=
=
d1
d2
d3
Cosine law: d1 = d 2 + d3 − 2d 2 d3 cos θ1
2
2
2
θ2
θ1
d2
d1
θ3