The dimensions of angular acceleration are:
Correct answer: A. T-2
- A. T-2
- B. LT-2
- C. LT-1
- D. M1T-2
Explanation
Angular acceleration (α) is defined as the rate of change of angular velocity (ω) with respect to time (t). Therefore, α = Δω/Δt. The dimension of angular velocity is T-1, so when divided by time (T), the dimension of angular acceleration becomes T-2. This is why the correct answer is T-2.Option B (LT-2) is incorrect because it describes linear acceleration, which involves change in linear velocity rather than angular velocity. Option C (LT-1) is incorrect as it describes velocity, which is a linear measure, not angular. Option D (M1T-2) is incorrect since it is the dimension of force, not relevant to angular acceleration.
This question appeared on the ETEA MDCAT 2006 paper, which you can sit online with every answer explained.
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About Dimensional Analysis
Dimensional analysis expresses physical quantities through fundamental dimensions such as mass, length and time. It checks dimensional consistency, helps derive relations and converts between unit systems, but cannot determine numerical constants or distinguish quantities with identical dimensions. Dimensional formulae must not be confused with complete physical units.
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