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how will you know the direction of a moment?
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I assume you refer to the mechanical 'momentum' in your question, which is the scalar multiplication of mass [kg] * velocity [m/s]. This momentum always works in the direction of the velocity. For an angular momentum, things are a bit different because this angular momentum is a vectorial product and therefore has a direction. For a single particle, angular momentum is mass * velocity, again with the direction of the velocity as the direction of the angular momentum. For a complex item, angular momentum is moment of intertia * angular velocity, with a direction found by the right hand rule.
direction of momentum is the direction of the velocity of object in consideration
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