Respuesta :

Given that period of oscillations, T=1.6 s

The formula to find length of pendulum, l is

[tex]T=2\pi\sqrt[]{\frac{l}{g}}[/tex]

Here, g is acceleration due to gravity =9.8 m/s^2

Squaring on both the sides of the formula

[tex]l=\frac{gT^2}{4\pi^2}[/tex]

Substituting the values in the above formula

[tex]l=\frac{25.08}{39.43}=0.63\text{ m}[/tex]

Hence length of pendulum is 63 cm