the period of a simple pendulum varies directly as the square root of it's length. if a pendulum 3 ft long has a period of 4.8 sec find the period of a pendulum half as long.

Answer 1

√3 : 4:8 :: √1.5 : p

p√3 = 4.8√1.5

p = 4.8√1.5 / √3

p = 4.8√0.5

p ≈ 3.39411255 sec