Re: [Phys-L] Ex: Re: question
- From: John Mallinckrodt <ajm@cpp.edu>
- Date: Mon, 15 May 2023 14:55:06 +0000
In the spirit of the question, I would assume that all places would have equal
probability of being the drop point.
Unlike some O of M questions, this one has a pretty definite answer and it
involves an easily written double integral that would need to be performed
numerically. I won’t attempt it, but will opine that 50 miles *feels* a little
too small and 100 miles *feels* way too large a little too large.
One must keep in mind that most of the area is taken up by the bigger states.
> On May 15, 2023, at 7:39 AM, Chuck Britton via Phys-l
> <phys-l@mail.phys-l.org> wrote:
>
> My dim memories are that the answer depends strongly on how the ‘random’
> place is chosen. A random angle and radius from a given center will give a
> different answer than will a random latitude and longitude.
>
>> On May 15, 2023, at 10:25 AM, Anthony Lapinski via Phys-l
>> <phys-l@mail.phys-l.org> wrote:
>>
>> I heard about this recently:
>>
>> If you were dropped at a random place in the continental USA, how far would
>> it be to the nearest state border?
>>
>> Hmmm. Tough question! A Fermi question. I did some searching for state
>> areas, perimeters, and centers to get some ideas. Wondering if others can
>> share some insights.
>>
>> --
>>
>>
>> <http://www.pds.org/>
>> <https://www.facebook.com/princetondayschool>
>> <https://twitter.com/PDSPanthers>
>> <https://www.youtube.com/channel/UCVE-nTva0BlK0rT6vayqpIQ>
>> <https://www.instagram.com/princetondayschool/>
>>
>>
>> *CONFIDENTIALITY NOTE:*
>> The information transmitted, including attachments, is intended only for
>> the person(s) or entity to which it is addressed and may contain
>> confidential and/or privileged material. Any review, retransmission,
>> dissemination or other use of, or taking of any action in reliance upon
>> this information by persons or entities other than the intended recipient
>> is prohibited. If you received this in error, please contact the sender and
>> destroy any copies of this information.
>>
>>
>>
>>
>> Please consider the environment
>> before printing this email.
>>
>>
>>
>>
>> _______________________________________________
>> Forum for Physics Educators
>> Phys-l@mail.phys-l.org
>> https://www.phys-l.org/mailman/listinfo/phys-l
>
> _______________________________________________
> Forum for Physics Educators
> Phys-l@mail.phys-l.org
> https://www.phys-l.org/mailman/listinfo/phys-l
> CAUTION: This email was not sent from a Cal Poly Pomona service. Exercise
> caution when clicking links or opening attachments. Please forward suspicious
> email to suspectemail@cpp.edu<mailto:suspectemail@cpp.edu>.
>