Question

The period of a pendulum is the time it takes for the pendulum to make one full​ back-and-forth swing. The period of a pendulum depends on the length of the pendulum. The formula for the period​ P, in​ seconds, is Upper P equals 2 pi StartRoot StartFraction Upper L Over 32 EndFraction EndRootP=2π L 32​, where L is the length of the pendulum in feet. Find the period of a pendulum whose length is one eightteenth 1 18 ft. Give an exact answer and a​ two-decimal-place approximation.

Answer 1

Answer: 0.04 s

Step-by-step explanation:

The given equation for the period
`T` of a pendulum when the acceleration due gravity is given in feet per squared second
`g=32 ft/s^(2)` is:

`T=2 \pi \sqrt{(l)/(32 ft/s^(2))}`

Where
`l=(1)/(18) ft` is the length of the pendulum

`T=2 \pi \sqrt{((1)/(18) ft)/(32 ft/s^(2))}`

`T=0.04 s`