Amount of Time, Wire Length

What do you know

Cylinder:
Diameter of cylinder--0.75 inches
Height of Cylinder--5.5 inches

Wire:
Wire diameter --o.o2 inches

Turning Speed--25 rps

What do I want to know:
Time for first layer
Length of first layer

What do I need to solve:
number of loops in first layer

Concept:
I'm going to assume that the spiral of the first layer on the cylinder is so tight that the first layer is effectively a stack of cylinders 0.02 inches high and 0.75 inches in diameter.

To have this stack of wire cylinders equal 5.5 inches, there will be 5.5 inches/0.02 inches (275) of them.

The length of wire in these 275 wire cylinders is the number of turns times the diameter of the cylinder (0.75 in* pi=2.356 in). Then length of wire covering the entire cylinder is the number of wire cylinders (275) times this length (647.953 inches).

The time required to turn the cylinder 275 revolutions at 25 rps is then (275/25=11) seconds.

Rap

Thanks raprap.

My error in not listing what is known and want to know steps.

A question:

How would the total time and capacity of spool be determined ? The problem did not ask for that. Due to the time and amount for one layer, I was just wondering what the total would be. I did not know which numbers to use. Thanks.

Length of wire- 1 mile - 5280 feet
simple wire

5280 * 12 = 63,360 inches

63360 / 2.355 = 26,904.46 = 26,904 revolutions

26904 * 11 = 295,944 seconds

I think I miscalculated.



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