The simple pendulum will swing back and forth in regular time intervals. Relationship between length of the pendulum L and time T for one complete oscillation can be stated by equation L-kT^n, where k is constant and n is positive integer to be determined. Data below is from different lengths of pendulums:
L- (Feet) T (seconds)
1.0 1.11
1.5 1.36
2.0 1.57
2.5 1.76
3.0 1.92
3.5 2.08
4.0 2.22
Use data to estimate k and find best value n. Let (L-kT^n)=0
Using values of k and n, find T for the pendulum having length 5 feet.