Question

A 1.5 m of pendulum is swinging on the planet Jupiter with a period of 3.7 s, calculate the value of (g) on the planet Jupiter.

Answer 1

By the definition of the period of the pendulum, we have:

$$T=2\pi\sqrt{\dfrac{L}{g}},$$ $$g=\dfrac{4\pi^2L}{T^2},$$ $$g=\dfrac{4\pi^2\cdot1.5\ m}{(3.7\ s)^2}=4.32\ \dfrac{m}{s^2}.$$