# How long must a mathematical pendulum be so that it oscillates with a period of 1 s on the surface of Mars?

September 16, 2020 | Education

| **How long must a mathematical pendulum be so that it oscillates with a period of 1 s on the surface of Mars? The radius of the planet Mars is 0.53 that of the Earth, and the mass is 0.11 that of the Earth.**

The length of the mathematical pendulum can be expressed from the formula T = 2π√ (L / g)

The magnitude of the free fall acceleration for Mars is found by comparing it with the Earth from the law of universal gravitation. gm / gz = (Mm / Mz) * (Rz / Rm) ^ 2 Taking gz = 9.8 m / s2, we get gm = 3.8 m / s2. Therefore, the length of the pendulum on Mars will be 9.7 cm

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