Here's how it breaks down:
* M: Mass (kg)
* L: Length (m)
* T: Time (s)
Let's explain:
* Moment of force (torque): A rotational force that tends to cause an object to rotate around an axis.
* Formula: Moment of force = Force x Perpendicular distance from the axis of rotation
* Units: Newton-meter (N·m)
Since:
* Force (F) has dimensions of [M L T⁻²] (mass times acceleration)
* Distance (d) has dimensions of [L]
Therefore, the moment of force (torque) has dimensions of:
[M L T⁻²] x [L] = [M L² T⁻²]