The formula for calulating the period is expressed as
T = 2π√(L/32)
where
T is the period
L is the length of the pendulum
π is a constant whose value is 3.14
From the information given,
T = 3.14
By substituting these values into the formula, we have
3.14 = 2 x 3.14√(L/32)
3.14 = 6.28√(L/32)
3.14/6.28 = √(L/32)
Square both sides of the equation. It becomes
(3.14/6.28)^2 = (√(L/32))^2
(3.14/6.28)^2 = L/32
By cross multiplying,
L = 32 x (3.14/6.28)^2
L = 32 x 0.25
L = 8
The length is 8 feet