What could T^2 be? Pendulum lab

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SUMMARY

The discussion centers on the interpretation of T^2 in the context of a high school physics lab focused on the relationship between mass, length, and swing periods of pendulums. Participants conclude that T^2 represents the square of the period (T) of the pendulum's swing, which is calculated as T multiplied by itself (T*T). The lab requires graphs of T vs. mass (m), T vs. length (L), and T^2 vs. length (L) to analyze these relationships effectively.

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  • Understanding of pendulum motion and swing periods
  • Familiarity with graphing techniques in physics
  • Basic knowledge of mass and its impact on pendulum dynamics
  • Ability to perform calculations involving squares of numbers
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  • Explore the effects of mass on pendulum swing periods
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High school physics students, educators teaching pendulum dynamics, and anyone interested in experimental physics and data analysis.

homing
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Homework Statement


I did a physics lab in high school the other week, and I did not look at the rubric for the lab report until now. The lab's purpose was to find the correlation between mass and swing periods, and length and swing periods. The rubric asks to graph T vs. m, T vs. L, and T^2 vs. L. I'm do not know for sure sure what T^2 could stand for.

Angle of release: 20
Sphere mass(kg) Total time for 10 swings (s)
cork .003 9
wood .006 10
aluminum .0024 9
steel .067 11
brass .072 11
lead .094 11

Sphere: Steel
Angle of release: 20
Length total time for 10 swings (s)
0.2 10.57
0.3 9.73
0.4 10.21
0.5 9.73
0.6 11.53
0.7 10.81
0.8 10.47
0.9 16.46
1.0 15.65
2.0 16.35
3.0 17.08
4.0 18.35

Homework Equations


None.

The Attempt at a Solution


Could actually be time squared, or it might mean time to graph in 10 seconds compared to 1.
 
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T^2 = T*T

so time squared.
 

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