Asked by Jan

The steel round frame is 2,4m high. There have to be wrapd five coils around the frame. One coil diameter is 35mm. Each coil is 50m long. All of the coils have to be wrapd next to each other.What must the diameter be of the frame if the hight of the frame is 2,4m.

Answers

Answered by Steve
the circumference of the frame is πd m
The total length of wire is 5*50 = 250 m

So, ignoring the slight difference of the length of a helix as opposed to stacked rings, the number of loops around the frame is

250/πd

The height of each loop is 0.035 m, so

(250/πd)(0.035) = 2.4
d = 1.16 m
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