Question

Determine the length of the pendulum when the period of oscillation is 1.6 s

Answer 1

Given that period of oscillations, T=1.6 s

The formula to find length of pendulum, l is

`T=2\pi\sqrt[]{(l)/(g)}`

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

Squaring on both the sides of the formula

`l=(gT^2)/(4\pi^2)`

Substituting the values in the above formula

`l=(25.08)/(39.43)=0.63\text{ m}`

Hence length of pendulum is 63 cm