Question

The period of a pendulum is the time the pendulum takes to swing back and forth. The function L^0.81 relates the length L in foot of a pendulum to the time t in seconds that it takes to swing back and forth. A convention center has a pendulum that is 130 feet long. Find the period.

A. 1.00 seconds
B. 1.10 seconds
C. 1.20 seconds
D. 1.30 seconds

Answer 1

The period of a pendulum is calculated from its length, but with the given data and function, none of the provided answer choices for the 130-foot pendulum are correct; the period should be longer than 1.3 seconds.

Step-by-step explanation:

The period of a pendulum depends on the length of the pendulum and the acceleration due to gravity. According to the given function, which seems to be a power relation (though it is not the standard formula for pendulum period), the period t of a pendulum with a length L in feet can be found by raising the length to the power of 0.81. To find the period of a 130-foot long pendulum, we calculate 1300.81. Without calculation tools and not given any specific numerical relationship, we cannot provide one of the provided answer choices (A, B, C, D) as they all seem to not match the expected period for such a long pendulum. For practical purposes, a 130-foot pendulum would have a period significantly longer than 1.3 seconds, which is the largest provided choice. Therefore, based on the given options, none of the answers A through D are correct.