What is the effect on the period of a pendulum...

Question

What is the effect on the period of a pendulum if you decrease its length by 3.65%? (Answer this question in terms of the initial period T.)

T' = ? T

 

Answer 1

Use the relation

 

T = 2π√(L/g)

 

Replace L with 0.9635L (i.e. L reduced by 3.65%).

 

T' = 2π√[0.9635(L/g)] ≅ 0.9816T