Chapter 16, Problem 28PE

(a) A pendulum that has a period of 3.00000 s and that is located where the acceleration due to gravity is $\text{9}.\text{79 m}/{\text{s}}^{\text{2}}$ is moved to a location where it the acceleration due to gravity is $\text{9}.\text{82 m}/{\text{s}}^{\text{2}}$. What is its new period? (b) Explain Why so many digits are needed in the value for the period, based on the relation between the period and the acceleration due to gravity.