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 7.58 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 t = 2/L, we can solve for L by rearranging the equation:
L = 2/t
Plugging in t = 7.58 seconds:
L = 2/7.58
L ≈ 0.2639
Rounded to the nearest tenth, the length of the pendulum is approximately 0.3 meters.