1Which is the dimensional formula of jerk?
Jerk works out to [L T⁻³].
MechanicsClass 11, Motion in a Straight Line
Dimensional formula of Jerk
[L T-3]
The rate of change of acceleration. It is not in the NCERT chapters but turns up in extension questions.
How to get the dimensional formula of jerk
- Start from the definition: jerk = acceleration / time.
- velocity = length / time, so velocity is [L] / [T] = [L T-1].
- acceleration = velocity / time, so acceleration is [L T-1] / [T] = [L T-2].
- Put in the dimension of each part: [L T-2] / [T].
- Add the powers of each base quantity: [L T-3].
Three questions on jerk
2What is the SI unit of jerk?
The SI unit of jerk is the metre per second cubed (m/s³).
3Do jerk and volume have the same dimensions?
Jerk is [L T⁻³] but volume is [L³].
Jerk: quick answers
What is the dimensional formula of jerk?
The dimensional formula of jerk is [L T⁻³]. It comes from jerk = acceleration / time.
What is the SI unit of jerk?
The SI unit of jerk is the metre per second cubed (m/s³).
Is jerk dimensionless?
No. Jerk has the dimensions [L T⁻³].