PHYSICS EQUATIONS

need to know equations for physics C mechanics that aren't on the equation sheet

orbital velocity

V_orb= √Gm/R

Escape velocity

V_escape=√2Gm/r

volume of a circle

4/3πr³

density

p=m/V

• density= mass/volume

keepler’s law

T²=ka³

• aphelion- furthest from the sun

• perihelion- closest to the sun

2a=perihelion +aphelion

Torque

T=Iα

T=rFsin()

acceleration (when talking about simple harmonic motion)

a= -Aω²

work

Fdcos∅

force of friction

f=F_n(U_f)

acceleration due to gravity (g)

g=Gm/r²

inertia disk

1/2mR²

inertia hoop/thin pipe

I=mr²

Inertia solid sphere

2/5 mR²

inertia hollow sphere

2/3mr²

inertia rod at end

1/3ml²

inertia rod at center

1/12ml²

v max (when talking about an oscillation)

V=Aω

Force max (when talking about oscillation)

f=-kA

angular momentum

L= Iω