Estimate the bandwidth (bits / s) of a 747 crossing the Atlantic filled with CDs.

Estimate the bandwidth (bits / s) of a 747 crossing the Atlantic filled with CDs.

Clarifying questions?

1.       I think this is a multi part estimation question that is trying to determine if a plane were completely filled with CD’s

Estimation 1 the number of CDs that fit in the plane

Estimation 2 the amount of data contained on those CDs

Estimation 3 the time of travel of the plane

Estimation 4 the bandwidth of the plane data moved over duration of the flight

I have a few other questions, but I want to make sure I have the framework, right?  Let us assume that is the framework.

2.       Across the Atlantic

a.       LA to London, NYC to London or other destination?  Which direction - I believe going is faster.  Lets assume NYC to London

3.       747 should I assume that the plane is totally empty cargo plane (no seats) and that we have access to the entire storage area?  Yes

4.       Can I Assume that the CDs are all in Jewel Cases? Sure

Size of a 747 is really big – I want to compare it to something that I know like a school bus in length I think it is about 4-5 school buses long.  A school bus is 35-40 feet. 

Length 140-175 160-200  lets go with an average I rounded to 170 feet *12 = 2040 inches

Width I believe the traditional config of a 747 in economy is 3 asile 5 asile 3 the seat that I’m sitting in I estimate to be two feet wide and it’s comfortable – so an economy seat is less than that I’m going to say 20 inches each and the aisle is 3 feet

60+36+100+36+60 = 300 inches

300 inches

Lets assume that a plane is a cylinder so volume  is pie*(r)2 *length

3.14*(150)2 = 3.14*22500*2040 = 144,126,000in3 (just so everyone knows we are already pretty far off the actual cargo capacity of a 747 set up for Cargo is 42,270,336 in3 but this is an estimation question so keep moving forward.)

A jewel case is 4.25 inches by 4.25 inches by .25 inches.  So the volume occupied by a jewel case is 4.5in3  (thin jewel case is actually 5.59 in × 4.92 in × 0.20 in or 5.5in3)

Now I am sure that there is an optimal configuration of jewel cases to maximize fit but we are deep into an estimation question that still has multiple sections to go so lets just do a straight divide at this point.

144,126,000in3 /4.5in3  = 32,028,000 lets just call that 32 million cd’s at this point

Each CD holds 800mb of data (its been a long time but that is about right)

32,028,000 *800 =  25,622,400,000.00

*1000 to get to KB

*8 to get to bits = 205 trillion

Time of the flight NYC to London 7 hours

420 min

25200 seconds

205,000,000,000,000/25200 = 8.1 billion bits per second