Pendulum on Earth and another planet different periods radii

AI Thread Summary
The discussion revolves around solving a physics problem related to the radius of a pendulum on Earth and another planet. A participant initially calculates a radius that is significantly smaller than Earth's, leading to confusion. Upon review, they realize they forgot to square the radius in their calculations, which corrected their result to 11,200 km. Another participant suggests simplifying the process by deriving the formula for the radius symbolically rather than through extensive calculations. The conversation emphasizes the importance of following guidelines and using templates for clarity in problem-solving.
James Ray
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Member advised to type out equations and not to use images only of handwritten scratchwork

Homework Statement



Screenshot_2016-05-18-19-42-16.png

Homework Equations



The Attempt at a Solution



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James Ray said:

Homework Statement



View attachment 100919

Homework Equations



The Attempt at a Solution



View attachment 100920
The radius seems very small (a factor of 10 less than Earth's radius. But I can't see any mistake in the solution.
 
Your result is wrong. You should use the template and type in your work.
 
ehild said:
Your result is wrong. You should use the template and type in your work.
I forgot to square the radius in the first calculation.
 
James Ray said:
I forgot to square the radius in the first calculation.
Now I get 11200 km.
 
It is all right now, but how did you get it? I see quite a lot of unnecessary calculations on your sheet of paper. It would be very easy if you derived the formula for R2 symbolically.
 
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