A pendulum is L meters long. The time t, in seconds that it takes to swing back and forth once is given by t=2√L Suppose the pendulum takes 6.54 seconds to swing back and forth once. What is its length?
Carry your intermediate computations to at least four decimal places, and round your answer to the nearest tenth.
Given the equation t = 2√L, we can rearrange it to solve for L:
t = 2√L
6.54 = 2√L
3.27 = √L
(3.27)^2 = L
10.6929 = L
Rounded to the nearest tenth, the length of the pendulum is 10.7 meters.