SOLUTION: Derivation of T ∝ √l Derivation of T = 2π√(l/g) T = Time Period of a pendulum l = length of the pendulum g = gravity

Algebra ->  Proportions -> SOLUTION: Derivation of T ∝ √l Derivation of T = 2π√(l/g) T = Time Period of a pendulum l = length of the pendulum g = gravity      Log On


   



Question 999330: Derivation of T ∝ √l
Derivation of T = 2π√(l/g)
T = Time Period of a pendulum
l = length of the pendulum
g = gravity

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The relationship between the pendulum's period T and the square root of the length of the string has a constant of proportionality equal to
2(pi)/sqrt(g)
The derivation of the overall formula is quite complicated...this formula is really an approximation that is only valid for small angles theta...