Question

Geoff counts the number of oscillations of a simple pendulum at a location where the acceleration due to gravity is 9.80 m/s² and finds that it takes 8.75 s for 19.0 complete cycles. What is the period of the pendulum?

Answer 1

The period of the pendulum is obtained by dividing the total time of oscillations by the number of complete cycles. Using this method, Geoff's pendulum has a period of approximately 0.4605 seconds.

Step-by-step explanation:

The period of a pendulum is the time it takes for the pendulum to complete one full oscillation, and it can be calculated by dividing the total time of oscillations by the number of cycles. In this case, Geoff observes that the pendulum completes 19.0 cycles in 8.75 seconds. Therefore, to find the period (T), we use the formula T = total time / number of cycles, which gives us T = 8.75 s / 19.0. Performing the division gives us a period of approximately 0.4605 seconds.