Formulae

Below are the formulae that are listed on the classroom walls.
They are in no particular order and are updated regularly.
If one is missing, please notify your beloved teacher.
All the formulae listed below may be used on any test.


S=d/t

Vav = ∆x/∆t

VAC = VAB + VBC

A =∆v/∆t

Vf = Vi + at

∆x = Vit + (1/2)at2

Vf2 = Vi2 + 2a∆x

Vx = Vcosθ

Vy = Vsinθ

∆x = Vxt

∆y = Vyt + (1/2)gt2

∆y = (tanθ)∆x + (g∆x2)/(2V2cos2θ)

∆x = -(V2sin2θ)/g   lands at same level

θ = arc length/radius (in radians)

ωf = ωi +αt

∆θ = ωit + (1/2)αt2

ωf2 = ωi2 + 2α∆θ

∆θr = d

ωr = vt

αr = at

ω = ∆θ/∆t

α = ∆ω/∆t

1 radian = (arc length of r)/r

T = (1/2)mv2

∆U = -mgh

H = mc∆T

1 J = 1 kg.m2/sec2

H = mhf or mhv

ΣF = ma

W = mg

∆Usp = (1/2)k∆x2

Eff = out/in = (total energy – ∆E)/(total energy)

FΔt = mΔv

Δp = Δmv

FΔt = Δp

Δp = 0 (cons of momentum)

V1f/V1i = (m1-m2)/(m1+m2)

V2f/V1i = 2m1/(m1+m2)

ΣF = ma, ΣF = 0

ΣFx=0, ΣFy=0

Ff = μN

Ac = vt2/r

Fc = mvt2/r

ΣFr = mvt2/r, ΣFθ=0

V2 = μgr

V2 = rgtanθ

ΣT = 0

T = Fd┴ = F┴d

∑T = Iα

Trot = (1/2)Iω2

L = mvr = Iω

∆L = 0

ω = 2πν

ω = 2π/T

T = 1/ν

ν = 1/T

x(t) = Xmaxcos(ωt + Φ)

v(t) = ώXmaxsin(ωt + Φ)

a(t) = ώ2Xmaxcos(ωt + Φ)

vmax = ωXmax

a = ω2Xmax

T2 = 4π2L/g

W = Fd║ = Fdcosθ

W = ΔT = ΔE

Ti = Tf + ΔU + ΔH + ΔEd

F = -Gm1m2/r2

g1 = F12/m2 = -Gm1/r2

ΔUr∞ = -Gm1m2/r

ΔUAB = ΔUA∞ + ΔU∞B = ΔUA∞ - ΔUB∞