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 despite being different quantities, we can break down the solution into the following steps:

### Step 1: Define Work and Torque
- **Work (W)** is defined as the product of force (F) and displacement (s) in the direction of the force. Mathematically, it is expressed as:
\[ W = \vec{F} \cdot \vec{s} \]
where \( \vec{F} \) is the force vector and \( \vec{s} \) is the displacement vector.
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