The problem states that an object experiences a torque $\tau$ and an angular acceleration $\alpha$. We need to find the dimensions of $\frac{\tau}{\alpha}$.
2025/6/26
1. Problem Description
The problem states that an object experiences a torque and an angular acceleration . We need to find the dimensions of .
2. Solution Steps
We know that torque is given by
,
where is the moment of inertia and is the angular acceleration.
Therefore,
.
The moment of inertia is given by , where is the mass and is the distance from the axis of rotation. Thus, the dimensions of are .
Therefore, the dimensions of are .
3. Final Answer
The answer is (2) .