The discussion revolves around converting an inch dimension to arc minutes, specifically in the context of ensuring a 3-foot diameter roll does not move more than 1/8 inch. Participants seek to understand the conversion for comparing it to the backlash in gearing systems.
There is some disagreement regarding the calculation methods and results, with different participants arriving at similar final values through varying approaches. However, no consensus on a single method is reached.
Participants utilize different assumptions and methods for their calculations, leading to variations in results. The discussion does not resolve the differences in approaches or the implications of the navigational rule used.
1/8" is a fraction of the circumference and arc min is the associated angle.SevenToFive said:How can l convert an inch dimension to arc minutes? We have a customer who requires a 3 foot diameter roll not move more than an 1/8 inch. I need to convert the 1/8 inch to arc minutes to compare to the backlash in our gearing.
Any help is greatly appreciated.
I am sorry I had committed a calculation mistake,now I also get the same answer.Tom.G said:I get a different answer, by a factor of π.
D =36"
Allowed Move = 1/8" = 0.125"
Circumference = π⋅D = 113.1"
Circum/Allowed Move = 113.1/0.125 = 904.8 (the fraction of a revolution req'd to move 1/8")
Allowed Rotation = 360°/904.8 = 0.3979° = 23.87 arc min