Question

explain the dimensional formulas of angular velocity and angular acceleration with expalnation​

Answer 1

Answer:

Angular Velocity = Angular displacement × [Time]-1 . . . . (1)

The dimensional formula of Angular displacement = [M0 L0 T0] . . . . (2)

And, the dimensions of time = [M0 L0 T1] . . . (3)

On substituting equation (2) and (3) in equation (1) we get,

Angular Velocity = Angular displacement × [Time]-1

Or, v = [M0 L0 T0] × [M0 L0 T1]-1 = [M0 L0 T-1]

Therefore, the angular velocity is dimensionally represented as [M0 L0 T-1].