Question

estimate the time taken by oscillating pendulum to shift from x=0 to x=A/2 If A is the amplitude.

Answer 1

Let Time period is T.
displacement x = A sinwt
A/2 = Asinwt
1/2 = sinwt
π/ 6 = wt (sin30 is half)
π/6 = 2π/T t. ( w = 2π/T)
t = T/12
Hope it helps.