Question

The longest pendulums ever constructed were a pair 50 pound masses each suspended by a wire 1353.3 meter long down a mine shaft in the year 1901. What was the period of the pendulums?

Answer 1

The period of the longest pendulums can be calculated using the formula T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. By substituting the given values, the period can be calculated as approximately 41.92 seconds.

Step-by-step explanation:

The period of a pendulum can be determined using the formula:

T = 2π√(L/g)

Where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

In this case, the length of the pendulum is 1353.3 meters. Assuming the acceleration due to gravity is approximately 9.8 m/s^2, we can calculate the period as follows:

T = 2π√(1353.3/9.8) ≈ 41.92 seconds

Therefore, the period of the pendulums is approximately 41.92 seconds.