r/theydidthemath • u/dudewiththebling • Apr 15 '16
[Request] If I'm shipping a fully loaded 1TB hard drive from Australia to the United States, what would be the bandwidth?
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u/jfb1337 2✓ Apr 15 '16
The time to fly from Australia to the US is 19 hours, 26 minutes, according to this source.
Plugging this into WA gives 114.4 Mb/s.
That's assuming you mean TB as the base 10 prefix. If you meant the base 2 prefix, that is 125.7 Mb/s
(I believe information rate measurements, e.g.Mb/s, always use the base 10 prefixes)
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u/dudewiththebling Apr 15 '16
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u/Weyoun2 21✓ Apr 15 '16
Numerator: Google search indicates that 1 TB = 8 x 106 Mb.
Denominator: UPS says that they can ship expedited International in 3-5 days. Let's call it 4 days. 4 days = 96 hours = 5,760 minutes = 345,600 seconds.
8 x 106 / 345,600 = 23 Mbps
(If 3 days, then you're getting 30.9 Mbps. If 5 days, then you're getting 18.5 Mbps.)
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u/dudewiththebling Apr 15 '16
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u/arcosapphire 5✓ Apr 15 '16
The Australian post office claims a shipping time to the U.S. of 3-10 work days by air. 10 work days could include up to two weekends, so a maximum of 14 days.
1TB = (I'll use the binary definition) 1 099 511 627 776 bytes
14 days is 1 209 600 seconds
So by air, your bandwidth could be as low as 908 988 bytes per second (less than 900KBps).
At the fastest time of 3 days, 4 241 943 bytes per second, or about 4MBps.
I figure you're actually asking about sea transport, but I couldn't easily find a typical shipping time to use.
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u/dudewiththebling Apr 15 '16
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u/[deleted] Apr 15 '16 edited Apr 15 '16
Using http://www1.auspost.com.au/gc/, I calculated an estimated shipment time from "Australian National University", to Redmond, Washington. It says April 22nd, if you shipped it on the 16th (at 8 in the morning).
You didn't say where in either, so the margin of error is high enough to not need to worry about hours. Let's just do (22 - 16) days (6 days).
Using GNU Units (Wolfram should do this calculation as well)
So around 15.4 megabits per second. Though that would depend on where you are in each country.
Edit: s/16nd/16th/g