The length of the pendulum can be calculated using the formula:
T = 2π√(L/g)
Where T is the period of the pendulum, L is the length of the pendulum, and g is the acceleration due to gravity.
We can rearrange this formula to solve for L:
L = gT^2 / (4π^2)
Given that the pendulum takes 43.6 seconds to complete 10 full swings, the period of the pendulum is:
T = (43.6 seconds) / (10 swings) = 4.36 seconds/swing
The acceleration due to gravity is approximately 9.8 m/s^2.
Substituting these values into the formula, we get:
L = (9.8 m/s^2) × (4.36 s/swing)^2 / (4π^2) = 5.51 m
Therefore, the length of the pendulum is 5.51 m.