1Which is the dimensional formula of angular acceleration?
Angular acceleration works out to [T⁻²].
MechanicsClass 11, System of Particles and Rotational Motion
Dimensional formula of Angular acceleration
[T-2]
Change of angular velocity per unit time. Do not confuse it with linear acceleration, which has a length in it.
How to get the dimensional formula of angular acceleration
- Start from the definition: angular acceleration = angular velocity / time.
- angle = length / length, so angle is [L] / [L] = [M0 L0 T0].
- angular velocity = angle / time, so angular velocity is [M0 L0 T0] / [T] = [T-1].
- Put in the dimension of each part: [T-1] / [T].
- Add the powers of each base quantity: [T-2].
Three questions on angular acceleration
2What is the SI unit of angular acceleration?
The SI unit of angular acceleration is the radian per second squared (rad/s²).
3Do angular acceleration and relative density have the same dimensions?
Angular acceleration is [T⁻²] but relative density is [M⁰ L⁰ T⁰].
Angular acceleration: quick answers
What is the dimensional formula of angular acceleration?
The dimensional formula of angular acceleration is [T⁻²]. It comes from angular acceleration = angular velocity / time.
What is the SI unit of angular acceleration?
The SI unit of angular acceleration is the radian per second squared (rad/s²).
Is angular acceleration dimensionless?
No. Angular acceleration has the dimensions [T⁻²].