The dimension of torque is equal to the dimension of work.Yet, the two quantities are different . Explain.

Explanation

To explain why the dimensions of torque and work are the same, yet they are fundamentally different quantities, we can break down the concepts step by step:

### Step 1: Define Torque and Work
- **Torque (τ)** is defined as the rotational equivalent of linear force. It is calculated as the product of force (F) and the perpendicular distance (R) from the pivot point to the line of action of the force. Mathematically, it can be expressed as:
\[ \tau = F \times R \]

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