Determine the dimensions of torque . 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

Torque is given by the product of force F and distance r . = F r The dimensional formula of force F is [M L T⁻²] . The dimensional formula of distance r is [L] . Substituting these dimensions into the formula for torque: [ ] = [M L T⁻²] [L] = [M L^2 T⁻²]