Answer:
L = (T² × g) / 4π²
Step-by-step explanation:
T = 2π√L/g
Where,
L = length of the string
g = acceleration due to gravity
T = 2π√L/g
square both sides of the equation to eliminate the square root
T² = (2π)²√(L/g)²
T² = (2π)²(L/g)
(2π)²
= 2π × 2π
= 4π²
T² = 4π²(L/g)
Multiply both sides by g
T² × g = 4π²(L/g) × g
T² × g = 4π²L
Divide both sides by 4π² to get L
L = (T² × g) / 4π²
