The period T of a pendulum of length L is given by
[tex]T=2 \pi \sqrt{ \frac{L}{g} } [/tex]
where g is the free-fall acceleration value.
Given that on Xenos T=1.57 s and L=1.59 m, we can re-arrange the formula and replacing these numbers to find the value of g on Xenos:
[tex]g=L \frac{(2 \pi)^2}{T^2}=(1.59m) \frac{(2 \pi)^2}{(1.57s)^2}=25.44 m/s^2 [/tex]
