How Can We Determine Earth's Mass Using a Pendulum?

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To determine Earth's mass using a pendulum, one can utilize the gravitational acceleration (g) measured in the lab, alongside the gravitational constant (G) and the mean radius of the Earth. The discussion highlights that while direct measurement of G may be challenging in a high school setting, it is permissible to use known constants. A Foucault pendulum is suggested as a potential tool for demonstrating gravitational effects. Additionally, the ancient Greek method of measuring shadows can help estimate Earth's radius, making the experiment feasible with basic equipment. Understanding the relationship between pendulum oscillation and gravitational acceleration is key to the experiment.
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My class was given an assignment to design an experiment where we could determine the mass of the Earth, using the equipment found in our lab. (basic high school stuff) I know we use gravitation pull in some way, towards the sun (?) but all the research I've done and explanations I've found, I'm having a hard time understanding. Any help would be great, thanks.
 
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are you allowed to use the gravitational constant G?
 
Not only G,he should use the mean Earth radius as well...I think this is more a theoretical problem.After all,in the lab u could come up only with "g"...Maybe a Foucault pendulum would be useful as well... :wink:

Daniel.
 
He can find Earth's radius using the ancient greek method... measuring the shadow of two sticks far away... cell phone and auto mobile make this experiment doable... but i don't think it is possible to find G in a high school lab...
 
i think we are allowed to use the constant, at least i am, and could someone please explain how a pendelum would help?
 
A pendulum's oscillation depends on the gravitational acceleration.
 
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