You decide to go to Mars, but Martian gravity is different than Earths! (G on Mars = 4.2 m/s vs. G on Earth = 9.8 m/s) How much do you need to lengthen or shorten the pendulum to keep accurate time if the pendulum is 1 meter long?

Question

You decide to go to Mars, but Martian gravity is different than Earths!  (G on Mars = 4.2 m/s vs. G on Earth = 9.8 m/s)  How much do you need to lengthen or shorten the pendulum to keep accurate time if the pendulum is 1 meter long?

anonymous · Answer

I'm guessing that you want the periods of the pendulum's to be the same value in seconds. So using equation $$T \approx2\Pi \sqrt{L/g}$$ where L is the lenght and g is the local acceleration of gravity, you can plug in your values for earth and mars and set the two equal to each other. I'm pretty sure that's how you could do it.

anonymous · Answer

$$Tearth=Tmars$$

anonymous · Answer

Thanks! Completely forgot the equation!