How Do You Calculate the Angle Theta for a Pendulum Near Mt. Everest?

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SUMMARY

The angle theta for a pendulum bob located 4.80 km from the center of Mt. Everest can be estimated using the formula Tan(theta) = (GMeverest/r^2)/g. This formula incorporates the gravitational constant (G), the mass of Mt. Everest (Meverest), the distance from the center of the mountain (r), and the acceleration due to gravity (g). While the formula is appropriate for an estimate, further verification of the constants and parameters is necessary for precise calculations.

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  • Understanding of gravitational force and its calculation
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  • Knowledge of the gravitational constant (G) and its application
  • Basic principles of pendulum motion
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Homework Statement




Estimate the angle theta of the pendulum bob if it is 4.80km from the center of Mt. Everest.





The Attempt at a Solution



Tan(theta) = (GMeverest/r^2)/g

I have been trying to use this formula, but i don't think its the right one?
 
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I think that formula should be ok for an estimate.
 

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