Calculate the time for 20 oscillations (t₂ - t₁) for each pendulum length.
L (cm) t₁ (s) t₂ (s) t₂ - t₁ (s)
150 8.00 11.00 3.00
130 7.50 9.80 2.30
110 6.80 8.60 1.80
90 6.00 7.50 1.50
70 5.20 6.30 1.10
50 4.50 5.40 0.90
30 3.70 4.50 0.80
Calculate the mean time (t) for each pendulum length by averaging the two recorded times.
L (cm) t₁ (s) t₂ (s) t₂ - t₁ (s) t (s)
150 8.00 11.00 3.00 9.50
130 7.50 9.80 2.30 8.65
110 6.80 8.60 1.80 7.70
90 6.00 7.50 1.50 6.75
70 5.20 6.30 1.10 5.75
50 4.50 5.40 0.90 4.95
30 3.70 4.50 0.80 4.10
The Complete Question
Analyze the data in the provided table to determine the relationship between the length of a pendulum (L) and its period (T). Specifically, answer the following questions:
L (cm) 150 130 110 90 70 50 30 t₁ (s) t₂ (s) QUESTIONS: Table of values Time for 20 oscillations Mean time (t) Period T(s) = t/20 T² (S²) LogL LogT
Calculate the time for 20 oscillations (t₂ - t₁) for each pendulum length.
Calculate the mean time (t) for each pendulum length by averaging the two recorded times.