Rotational motion

θ, angular displacement

rad

ω, angular velocity

rads^-1

α, angular acceleration

rads^-2

τ, torque

Nm

I, rotational inertia

kgm^2

L, angular momentum

kgm^2s^-1

total kinetic energy formula

Ek(total)= Ek(trans) + Ek(rot)

gravitational potential energy formula

Ep = Ek(lin) + Ek(rot)

energy transformation of an object going down a ramp

gravitational potential energy is converted into both linear kinetic energy and rotational kinetic energy

change in radius on inertia discussion points

-no net external torque means angular momentum is conserved

-increasing radius will increase rotational inertia vice versa

-increased rotational inertia means less angular velocity vice versa