Question

The formula es001-1.jpg gives the time it takes in seconds, T, for a pendulum to make one full swing back and forth, where L is the length of the pendulum, in feet.
To the nearest foot, what is the length of a pendulum that makes one full swing in 1.9 s?
Use 3.14 fores001-2.jpg .
ft

Answer 1

T = 2π sqrt(L/32) so sqrt(L/32) = T/(2π) and L = 32 (T/(2π))^2.

With T = 1.9 and π = 3.14:
2π = 6.28, T/(2π) = 1.9/6.28 ≈ 0.30255,
L = 32*(0.30255)^2 ≈ 32*(0.09154) ≈ 2.93 ft.

To the nearest foot: 3 ft.