What are the units for m and Delta m in the spring formula?

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SUMMARY

The discussion centers on the units of mass (m) and the change in mass (Delta m) in the context of the spring formula used for calculating the period of an oscillating mass-spring system. Participants confirm that the SI unit for mass is kilograms (kg), and therefore, both m and Delta m should be expressed in kg for consistency. Additionally, it is clarified that Delta m/m and Delta k/k are unitless, as they represent relative uncertainties rather than absolute changes. This understanding is crucial for accurate calculations in physics.

PREREQUISITES
  • Understanding of SI units, specifically the kilogram (kg) for mass.
  • Familiarity with the spring formula for oscillating systems.
  • Basic knowledge of relative uncertainty in measurements.
  • Concept of oscillation periods in physics.
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  • Research the derivation of the spring formula for oscillating systems.
  • Learn about calculating uncertainties in physical measurements.
  • Explore the relationship between mass and spring constant in oscillatory motion.
  • Study the principles of harmonic motion and its applications in physics.
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Students studying physics, particularly those focusing on mechanics and oscillatory systems, as well as educators teaching these concepts in a classroom setting.

SS2006
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i have this error formula

1/2 (change in m/m + change in k/k) * square root of m/k

now my question is

the m in the m/k is that in kg or grams

and the m in the change in m/m is that in grams or kg

my classmates are having mixed results, I am confused, want to kow the real way
thanks
 
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the real formula were trying to prove

2 (pie) * root of m/k

the m was in KG so I am assuming in the error its in KG too right
 
noone ?!
please ppl
 
Hey, I believe the formula you have is one used to calculate the period of an oscillating mass-spring system.

Anyway, in order to obtain clear working, we normally express all physical quantities in SI units. The SI unit for mass is kg, and I suppose if you used kg as the unit for mass in your calculations, the error will also be in kg.

Hope this helps!
 
Delta m / m is unitless ... so is Delta k /k !
They must be, because you add them!

By the way: HERE, Delta means "uncertainty", not change.
 

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