Determine the acceleration of gravity on the surface of Mars, provided that there a mathematical pendulum

Determine the acceleration of gravity on the surface of Mars, provided that there a mathematical pendulum 50 cm long would make 40 oscillations in 80 seconds.

Data: l (the length of the taken mathematical pendulum) = 50 cm (0.5 m); n (the number of oscillations that the pendulum has made) = 40 oscillations; t (oscillation duration) = 80 s.

1) The period of oscillation of the taken mathematical pendulum: T = t / n = 80/40 = 2 s.

2) Calculate the acceleration of gravity on the surface of Mars: T = 2Π * √ (l / g); l / g = T ^ 2 / 4Π ^ 2 and g = l * 4Π ^ 2 / T ^ 2 = 0.5 * 4 * 3.14 ^ 2/2 ^ 2 ≈ 4.93 m / s2.

Answer: According to the calculation, the acceleration of gravity on the surface of Mars is 4.93 m / s2.