How Big is a Planet with a 5000mph Rotation and a 52-Hour Day?

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Discussion Overview

The discussion centers around determining the size of a planet that rotates at 5000 mph with a 52-hour day. Participants explore the relationship between rotation speed, time, and planetary circumference, touching on concepts related to circular motion.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant asks how to calculate the size of a planet based on its rotation speed and day length.
  • Another participant emphasizes the importance of showing effort in problem-solving before seeking answers.
  • A participant clarifies that the question is not homework-related and requests guidance on relevant formulas.
  • One reply suggests that the problem involves calculating the circumference based on the distance traveled in 52 hours.
  • A later post provides a calculation indicating that the circumference would be 260,000 miles, suggesting a diameter of approximately 82,761 miles, but this is presented as a possible interpretation rather than a definitive conclusion.

Areas of Agreement / Disagreement

There is no clear consensus on the approach to the problem, as some participants focus on the need for self-sufficiency in problem-solving while others provide calculations and guidance. The discussion remains somewhat unresolved regarding the best method to determine the planet's size.

Contextual Notes

Participants have not fully explored the assumptions underlying the calculations, such as the effects of gravity or other planetary characteristics that might influence size. The discussion also lacks a detailed examination of the formulas mentioned.

Amber_smith
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Given a planet that rotates at 5000mph And the length of a day being 52 hours how big would this planet be?
 
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The forum doesn't work like that. You have to show some effort at solving a problem yourself. Members can't just give out answers or they could be banned.
How[/PLAIN] to Ask for Homework Help
 
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I'm sorry i didn't know. this isn't for homework or anything. It was just a general question. If someone could point me in the right direction of the formula to figure it out myself that would be as helpful
 
From the question, you are basically trying to determine the circumference of a planet. So, if a person is standing on the surface, how far would they travel in 52 hours? (I.E. the length of time for them to rotate once).
 
I don't have time to provide an in-depth answer, but here's the wiki page for circular motion. The first couple of equations in the formula section should be exactly what you need to figure this out. (at least I think so. I only had a minute or two to look into this)
 
Amber_smith said:
Given a planet that rotates at 5000mph And the length of a day being 52 hours how big would this planet be?
Your question contains the answer: 5,000 miles per hour for 52 hours = 260,000 miles. Therefore, the circumference of your planet must be 260,000 miles. That would make your planet ~10.45 times larger than Earth, or 82,761 miles in diameter.
 

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