Correct Answer - Option 1 : M
0L
0T
-2
The correct answer is option 1) i.e. T-2.
CONCEPT:
-
Angular acceleration: It is the rate of change angular velocity of an object with respect to time i.e.
α=ωf−ωit
\(ω = \frac{ω_f -ω_i}{t}\)
where, α = angular acceleration, ωf = final angular velocity, ωi = initial angular velocity, and t = time
EXPLANATION:
Linear velocity (v) = Angular velocity (ω) × radius (r)
- The dimension of angular velocity is:
Angular velocity = Linear velocity/radius = LT-1/L = T-1
- The dimension of angular velocity is:
Angular acceleration = angular velocity/time = T-1/T = T-2.
- LT-2 is the dimensional formula of linear acceleration.
- LT-1 is the dimensional formula of linear velocity.