Mechanics

Newton's Second Law (Rotation)

τ=Iα\tau = I\alpha

Rotational analog of Newton's second law.

Variables

τ
Net torque
Sum of torques
N·m
I
Moment of inertia
Rotational inertia
kg·m²
α
Angular acceleration
Rotational acceleration
rad/s²

Derivation

Rotational equivalent: τ = Iα (compare F = ma).

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Common questions

What is the Newton's Second Law (Rotation) formula?

Newton's Second Law (Rotation) is written τ= Iα. Rotational analog of Newton's second law. It belongs to Mechanics, under Rotational Motion.

What are the units in τ= Iα?

In SI units, τ is net torque, measured in kg·m²/s²; I is moment of inertia, measured in kg·m²; α is angular acceleration, measured in rad/s².

How is the Newton's Second Law (Rotation) formula derived?

Rotational equivalent: τ = Iα (compare F = ma). The result is τ= Iα.