Calculating Mass from Centripetal Force Slope

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SUMMARY

The discussion focuses on calculating mass from the slope of a graph representing T² versus 1/F, where T is the period in seconds and F is the centripetal force in Newtons. The relevant equation is derived from the formula 4π²mr/fc, indicating that mass can be calculated using the slope of the line, which is 0.7385. To find the mass, one must rearrange the equation to isolate m, using the slope value in conjunction with the known force. The user expresses frustration over their inability to grasp the concept and the implications for their report grade.

PREREQUISITES
  • Understanding of centripetal force and its relationship to mass
  • Familiarity with graphing linear equations
  • Knowledge of the physical quantities involved (T² and 1/F)
  • Basic algebra for rearranging equations
NEXT STEPS
  • Study the derivation of the equation 4π²mr/fc for better comprehension
  • Learn how to interpret the slope of a linear graph in physical contexts
  • Explore practical experiments involving centripetal force and mass measurement
  • Review concepts of dimensional analysis to connect physical quantities
USEFUL FOR

Students in physics courses, particularly those working on experiments involving centripetal force and mass calculations, as well as educators seeking to clarify these concepts for their students.

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Homework Statement


How do you calculate the mass from slope of a line T^2 on y-axis and 1/f on x axis??



Homework Equations


4π^2mr/fc


The Attempt at a Solution


I don't know how to attempt this. I have a data table and the graph has y=0.7385x-0.0254.
Obviously 0.7385 is the slope but I do not know what to use to get the mass.
 
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What is the equation of the graph in terms of physical quantities?
 
T^2 = seconds and 1/F = N^-1
 
How and what apparatus is set up? What is the situation as regards Physics?
 
Nevermind, it is too late now. I will just have to take a lower grade on my report. Thanks anyway.
 

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