Physics 1 anuglar equivlants

Angular Displacement Symbol

θ (Theta) - Unit: rad | Linear: x

Angular Velocity Symbol

ω (Omega) - Unit: rad/s | Linear: v

Angular Acceleration Symbol

α (Alpha) - Unit: rad/s² | Linear: a

Moment of Inertia Symbol

I - Unit: kg·m² | Linear: m

Torque Symbol

τ (Tau) - Unit: N·m | Linear: F

Angular Momentum Symbol

L - Unit: kg·m²/s | Linear: p

Rotational Kinetic Energy Symbol

K_rot - Unit: J | Linear: K_trans

Relationship for Displacement

x = rθ

Relationship for Velocity

v = rω

Relationship for Acceleration

a = rα

Newton's 2nd Law (Rotational)

τ = Iα | Linear: F = ma

Rotational Kinetic Energy Formula

K = 1/2 Iω² | Linear: K = 1/2 mv²

Angular Momentum Formula (Rigid Body)

L = Iω | Linear: p = mv

Torque Formula (Force and Lever Arm)

τ = rF sin(θ)

Work (Rotational)

W = τθ | Linear: W = Fd