Question

The period P

(in seconds) of a pendulum is given by the function P=2π√(L/32), where L
is the pendulum length (in feet). What is the length of a pendulum with a period of 3 seconds? Round your answer to the nearest hundredth of a foot.

(Also please dont use ai)

Answer 1

Answer: x is about 7.30

Explanation:

1 - change the fraction in the root to have two roots √L/√32
2 - simplify the bottom radical √L/2^2√2
3 - remove the 2 from the 2π (equation will look like this 3=π×√L/2√2
4 - move the pi to the numerator (π√L)/(2√2)
5 - swap the sides 6√2/π = √L
6 - remove the root from the variable (square everything) L= 36×2/π²
7 - multiply
Then theres your answer L = 72/π² just put that into a calculator and round it