Physics

To verify the relationship between the period of a pendulum (T) and the square root of the pendulum's length (L), an experiment can be conducted using multiple pendulums with varying lengths. First, the equipment necessary for the experiment must be gathered, including a stopwatch and at least three pendulum strings of differing lengths. The pendulum strings should be measured before the experiment starts and record the lengths in a data table. Then, to begin the experiment, each pendulum should be suspended from the same height so they have the same starting point, and the stopwatch should be used to measure the time it takes for each pendulum to complete 10, 20, and 30 swings. Once the 10, 20, and 30 swing readings are recorded, the T value can be determined. Finally, the results should be plotted on a graph (T vs. L). If the graph is linear and the slope of the line indicates that T is directly proportional to the square root of the pendulum's length (L), then this will verify the relationship.