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  • Understanding the Dimensions of Moment of Force (Torque)
    The dimension of moment of force is [M L² T⁻²].

    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]

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