They are Force meter or Force gauge that use to measure the
force. The meter may use spring of known elasticity or
electro-magnet to balance and measure out the force.
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A Newton meter is just any device that measure force. The reason
it is called a Newton meter is because Newton is a unit of
force.
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Yes, those are two names for the same thing
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It depends on the use to which it is being put. It might be
fishing scales or a luggage scale, or a force meter.