Mass vs. Period: Should I Convert Grams to Kg?

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SUMMARY

The discussion centers on whether mass should be converted from grams to kilograms when analyzing the relationship between mass and period in a spring-mass system. It is established that for the equation T = k * m^0.5, where k is a constant, the mass must be in kilograms to yield accurate results. Therefore, converting grams to kilograms is necessary for proper calculations. The correct format for the equation is T = 1.12 * sqrt{x} or T = 1.12 * x^{1/2}.

PREREQUISITES
  • Understanding of spring-mass systems
  • Familiarity with the equation T = k * m^0.5
  • Knowledge of unit conversion from grams to kilograms
  • Basic algebra for manipulating equations
NEXT STEPS
  • Research the effects of mass on the period of a spring-mass system
  • Learn about unit conversion techniques in physics
  • Explore the derivation of the spring constant (k) in different units
  • Study the mathematical representation of square roots and exponents
USEFUL FOR

Students in physics, particularly those studying mechanics, as well as educators and anyone involved in laboratory experiments related to mass and period analysis.

chroncile
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Homework Statement


I did an experiment of mass vs. period and I got the mass in (g)rams and the period in seconds. My question is, do I have to convert the mass from grams to kilograms?


Homework Equations


N / A


The Attempt at a Solution


N / A
 
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Kilo could be thought of as 1000.

Kilogram>Gram, you want your number to decrease not get bigger.

Grams / 1000 = Kilograms

1000 grams / 1000 = 1kilogram
 
Okay, that doesn't answer my question though; I was asking if it's necessary to convert the mass from (g) to (kg) for the data in the lab report.
 
chroncile said:

Homework Statement


I did an experiment of mass vs. period and I got the mass in (g)rams and the period in seconds. My question is, do I have to convert the mass from grams to kilograms?


Homework Equations


N / A


The Attempt at a Solution


N / A
Mass vs. period of what? A pendulum or a spring-mass system? It makes a difference. What is the equation that gives the period for your system?
 
A spring-mass system. The equation is T = km^0.5 where k is a constant. The value of k differs if the mass is in grams or kilograms. That's why I need to know what to put mass as so that I get the right answer.
 
If it's a spring-mass system, you need to convert to kilograms.
 
Thank you so much :smile:

..Wait a minute "I know one thing - that I know no thing.". What?
 
I need help again, the equation I found was T = 1.12 * x^0.5

Do I write it as T = 1.12 * x^0.5 or T = 1.12 * sqrt0.5
 
You write it as

T=1.12*\sqrt{x}
or
T=1.12*x^{1/2}
 

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