Pendulum on Earth and another planet different periods radii

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Homework Help Overview

The discussion revolves around the periods of a pendulum on Earth compared to another planet, focusing on the relationship between the radius of the planets and the resulting pendulum periods.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the implications of using different radii for the planets and question the accuracy of calculations. Some express confusion over the initial results and the need for proper application of formulas.

Discussion Status

There are indications of productive dialogue, with some participants revisiting their calculations and others questioning the methods used. Guidance on adhering to forum guidelines has been provided, and there is an ongoing exploration of the calculations involved.

Contextual Notes

Participants note discrepancies in the radius values used and the importance of squaring the radius in calculations. There is an acknowledgment of potential errors in earlier attempts.

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



20160518_214314.jpg
 
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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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