torque and moment difference?

Torque is also called moment of force = r x F

angular momentum is also called moment of momentum = r x p

So when you're dealing with vectors moment is the (r x ) term

moment of mass or moment of inertia is a bit different because mass isn't a vector so you can't

take the cross product of a vector and a scalar and moment of inertia or mass is defined as mr^2

Moment is not r x F like you asserted. Moment is like an operator that has to have something to

operate on, such as force, momentum, mass etc.

A "moment" is certainly a product but is far more general than mass * distance.

A moment is defined within mathematics. It is part of the general study of weighted means.

For example "Momentum" is a moment of mass * velocity. Didn't you ever wonder about the term?

There can be many possible moments of different types. Torque has a precise definition.

So to use "moment" when you mean "torque" would be bad form. That doesn't stop people from doing it

but it degrades precision when people use custom made language.

i.e they, and others of the same group, may know what they mean but others read the same words and get a different interpretation.

Examples in other areas. A "force" of three pounds.

You weigh 70 kilos.

You fill your car with "gas" or "petrol"

The length of a piece of timber is 1386 mils.

None of these statements are using precise unambiguous language. Yet SOME people would understand each one.

Torque is produced by a force on a moment arm.

The moment arm is only the distance from the pivot point the force is applied.

They are inter changeable. Eng ineers vs physicists seem to have preferences.