The equation for the time of one swing of a pendulum is give

The equation for the time of one swing of a pendulum is given by T = 2 pi Squareroot L/32 where T is the time in seconds, pi almostequalto 3.14, & L is the length in feet. What is the length of the pendulum if it makes one (1) swing in 4 seconds, according to the formula?

Solution

T=2*pi*(L/32)^.5

Squaring on both sides

(T/(2*pi))^2=L/32

Given time =4 sec

L/32= (4/(2pi))^2

L/32= 4/10

L=128/10

L=12.8

Length of pendulum =12.8 units

L/32=