A pendulum has a period of. 80s on Earth. What is its period on Mars, where the acceleration of gravity is about 0.37 that on Earth?

Question

Wyatt Cervantes

Physics

18 April, 16:21

A pendulum has a period of. 80s on Earth. What is its period on Mars, where the acceleration of gravity is about 0.37 that on Earth?

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Joseph · Answer 1

From the given, the acceleration due to gravity of Mars is equal to 3.626 m/s². The period of an oscillating object is calculated through the equation,

T = 2π (sqrt of L/g)

Developing a ratio and proportion for the two planets,

T1 / T2 = 0.80 s / T2 = sqrt g2 / sqrt g1

The value of T2 is equal to 1.31. Therefore, the period of the pendulum in Mars is equal to 1.31 s.