# What is the formula for Angular momentum?

Posted in ROTATIONAL MOTION | Email This Post |The moment of linear momentum is known as angular momentum. In other words the rotational analog of linear momentum is known as angular momentum

Consider a particle of mass m at a distance r from the axis of rotation. When a particle is in rotational motion about an axis, it has both linear velocity ‘v’ and angular velocity ‘ω’.

Angular momentum of the particle = linear momentum x perpendicular distance between

the particle and the axis of rotation or radius (r)

We know that momentum = mass × velocity

Substituting the value of momentum in the above equation we get,

Angular momentum = m v × r

we know that relation between Linear velocity and Angular velocity is defined as

Linear velocity (v) = Radius (r) x Angular velocity (ω)

Substituting the values we get

Angular momentum = m × (r. ω) × r

Therefore, the formula for Angular momentum is given as,

Angular momentum = mr^{2}ω

The S.I. unit for angular momentum is kgm^{2}s^{-1}

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