Equation for determining weight difference given distances to center?

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SUMMARY

The discussion centers on calculating weight differences based on distances from a pivot point using the formula m1xd1=m2xd2, where m1 and m2 are the masses and d1 and d2 are their respective distances from the center. The turning force is measured in Newton metres or pounds foot, and understanding the concept of "moments" is crucial for determining balance. The relationship allows for the calculation of one mass if the other is known, facilitating the design of a scale that measures weight differences effectively.

PREREQUISITES
  • Understanding of basic physics concepts, specifically moments
  • Familiarity with mass and weight measurements
  • Knowledge of Newton metres and pounds foot as units of torque
  • Basic algebra for manipulating equations
NEXT STEPS
  • Research the concept of "moments" in physics
  • Explore the principles of torque and its applications
  • Learn about the construction and calibration of weighing scales
  • Investigate the relationship between mass and weight in different units
USEFUL FOR

Physics students, engineers designing weighing systems, and hobbyists interested in building balance scales will benefit from this discussion.

moonman239
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I want to build a scale that measures weight diff by how far the two weights have to be from the center in order to be balanced.
 
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basically I think for two masses m1 and m2 then for them to balance then m1xd1=m2xd2
Where d1 and d2 are the distance.

Turning force is measure in Newton metres

http://en.wikipedia.org/wiki/Newton_metres

It can also be measured in pounds foot.

It does not matter about the units if you know the mass of one as m2=m1 x d1/d2
 
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What you're looking for is exactly what has been described above, if you need a more in depth answer, the easiest thing is to Google "moments". The above description will more or less find you a point where things will balance, and from that you should be able to work out the differences in weight (or more correctly mass). If you need any help doing the latter, and can't find away from looking up moments, holler and we'll explain it for you.
 

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