What could T^2 be? Pendulum lab

In summary, the conversation discusses a physics lab report that involves finding the correlation between mass and swing periods, as well as length and swing periods. The rubric asks for graphs of T vs. m, T vs. L, and T^2 vs. L, with T^2 possibly referring to time squared. The given data for the lab involves different sphere materials and lengths, and no specific equations are needed for the solution.
  • #1
homing
1
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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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  • #2
T^2 = T*T

so time squared.
 

Related to What could T^2 be? Pendulum lab

1. What is T^2 in a pendulum lab?

T^2 in a pendulum lab refers to the square of the period of a pendulum, which is the time it takes for the pendulum to complete one full swing.

2. Why is T^2 important in a pendulum lab?

T^2 is important in a pendulum lab because it is directly related to the length of the pendulum and the acceleration due to gravity. This relationship allows us to calculate the value of gravity using the formula T^2 = 4π^2l/g, where l is the length of the pendulum and g is the acceleration due to gravity.

3. How is T^2 calculated in a pendulum lab?

T^2 is calculated by measuring the time it takes for the pendulum to complete 10 swings and then dividing that time by 10. This will give the average time for one swing. Then, the average time is squared to get T^2.

4. What is the unit of measurement for T^2 in a pendulum lab?

The unit of measurement for T^2 in a pendulum lab is seconds squared (s^2). This is because the period of a pendulum is measured in seconds (s) and T^2 is the square of the period.

5. Can T^2 be used to determine the length of a pendulum?

Yes, T^2 can be used to determine the length of a pendulum. By rearranging the formula T^2 = 4π^2l/g, we can solve for l and determine the length of the pendulum. This is why T^2 is an important factor in a pendulum lab.

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