What is the Earth's orbital speed around the sun?

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Discussion Overview

The discussion revolves around calculating the Earth's orbital speed around the sun, prompted by a participant's interest in performing calculations based on the time it takes for light to travel from the sun to the Earth. The scope includes mathematical reasoning and exploratory calculations.

Discussion Character

  • Exploratory, Mathematical reasoning

Main Points Raised

  • One participant suggests calculating the Earth's orbital speed using the distance light travels in 8 minutes, proposing a method involving the circumference of a circle.
  • Another participant calculates the speed to be approximately 100,000 km/hr based on their interpretation of the distance traveled in a year.
  • A later reply acknowledges the initial calculation but notes that it assumes a perfectly circular orbit, indicating a potential limitation in the accuracy of the result.
  • One participant expresses satisfaction with their approximation, claiming it to be 93% accurate.
  • Another participant converts the speed to miles per hour, arriving at a figure of over 64,000 mph, later verifying it as 67,000 mph.
  • Several posts contain light-hearted exchanges and expressions of enjoyment in the mathematical process, without contributing further to the calculations.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the exact speed of the Earth's orbit, with multiple calculations presented and some acknowledging assumptions that may affect accuracy.

Contextual Notes

Participants rely on approximations and assumptions, such as the circularity of the Earth's orbit and the conversion between units, which may introduce uncertainties in their calculations.

rhenretta
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I was watching a documentary a couple nights ago, and it caused me to start doing random calculations. Granted the information is easily accessible online, but what is the fun in that.

Here is the problem

Given light takes 8 minutes to reach the Earth from the sun, at what speed is the Earth orbiting the sun.

show your work
 
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You mean pi times the diameter to get the circumference of a circle or pi times 16 light minutes would be the distance roughly traveled by the Earth in a year.
This comes out to about one third of a light second per hour, or:
100,000 km/hr.
 
far too quick, now I need to come up with another problem (admittedly, I was tempted to put it in general math)
 
2EZ
I'll give someone else a try. (I was only off by 7,218 km/hr.):smile:
 
Technically, your answer assumes a perfectly circular orbit, but given the lack of additional information I can't fault you there
 
Yes. its pretty satisfying that with total approximations I get an answer that's 93% right.
 
I thought the same thing, being an imperialist scum, I did my calculations to mph, and came up with over 64,000 mph. It wasn't until yesterday I actually verified my answer (67,000 mph). There is something very satisfying about math
 
And because it is such an appropriate reward for the correct answer:

 
Last edited by a moderator:
Thank you so much. I had never seen that before. Makes me wonder what might be in my fridge.
...and now for something completely different.
 
  • #10
Oh, now I feel bad for you ;-), how about this one

 
Last edited by a moderator:
  • #11
I'm afraid not.
Now I feel bad for me.:smile:
 

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