helpp with my math

Question

The formula s=2π√I /32 represent the swing of pendulum, where s is the time, in second to swing back and forth, and  I  is the length of the pendulum, in feet, what is the length of a pendulum that make one swing in 1.5 second. round your final answer to two decimal places

 

Answer 1

The time to swing a Pendulum of length l is s = 2π√(l / 32)

The time taken for one swing is 1.5 second

1.5 = 2π√(l / 32)

1.5/(2π) = √(l / 32)

0.238 = √(l / 32)

Square on both sides.

l / 32 = 0.05699

l = 0.05699 * 32

l = 1.823

There length of the Pendulum is 1.82 ft.