Determine the dimensions of angular speed . Some of the equations involving related quantities are = ₂ - ₁ t₂ - t₁ , = ₂ - ₁ t₂ - t₁ , = F r and I = mr^2 . The symbols have standard meanings.

Step-by-step solution

Angular speed is given by the relation = ₂ - ₁ t₂ - t₁ . Angular displacement is the ratio of arc length to radius, making it a dimensionless quantity. Its dimensional formula is M^0 L^0 T^0 . Time t has the dimensional formula T . Substituting the dimensions into the equation for angular speed: [ ] = M^0 L^0 T^0 T = T⁻¹