View Full Version : Heating tape puzzle
nh3simman
27-03-2007, 12:28 PM
Here is a practical brainteaser for you to try.
I have a steel drum and need to keep it warm. The outside diameter is 500mm and the length is 10m. I decide that in the 10m length there should be 5 full circuits.
http://www.technisolve.co.za/images/heatertape.png
Can you tell me the length of the heater tape?
chillin out
27-03-2007, 02:35 PM
7853.98163397448mm ?
Oh wait, I just got the length without going from one end to the other.
Chillin:) :)
NoNickName
27-03-2007, 03:01 PM
2 * pi * radius * turns = 7850mm plus loose ends for your convenience
Do you need a new calculator?
I make your sum 15,720 mm plus bits at end!!!!!!!!!!!!!!
NoNickName
27-03-2007, 06:13 PM
2 * 3.14 * 250 * 5 = 7850mm. Do you need a new medical treatment?
taz24
27-03-2007, 06:29 PM
Can you tell me the length of the heater tape?
This much. [ ] x5
taz holds his arms out simulateing this size of the cylinder.:D
taz
frank
27-03-2007, 07:56 PM
If the diameter is 500mm then the circumference is .5 *Pi = 1.57m
If the vessel is 10m long with 5 full turns of tape then 1 full turn = 2m
So, using Pythagarus, each tape length = sq rt of 1.57^2 + 2^2 = 2.54m
Therefore, total length of heater tape = 2.54 x 5 = 12.72m
chillin out
27-03-2007, 08:42 PM
Just worked it out properly and came up with the same as Frank.
Well done for getting there 1st.
Chillin:) :)
NoNickName
27-03-2007, 08:56 PM
If the diameter is 500mm then the circumference is .5 *Pi = 1.57m
If the vessel is 10m long with 5 full turns of tape then 1 full turn = 2m
Oh, yes, the advancement shift must be considered as well. The drawing was deceptive.
nh3simman
28-03-2007, 07:53 AM
Good answer Frank.
Sorry Nonickname, got confused with the length of the drum and the number of turns. :(
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