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How do you calculate the outside diameter of a steel coil based on the weight width and inside diameter?
You're essentially trying to calculate the diameter of a cylinder with a hole in the middle. There are two formulas for volume which you need.
Volume= Pi * r2 * h (where Pi=3.142, r = radius of the coil, h = width of the coil)
Volume= Weight/Density
Since both these formula equal Volume:
Weight/Density= Pi * r2 * h
Since the weight you have is for a cylinder with a hole in it, you need to calculate the volume of the whole cylinder (without the hole) and subtract the volume of the hole. So for a steel coil
Weight/Density = (Pi * rc2 * h)-(Pi * rh2 * h)
where rc= the radius of the coil and rh = the radius of the hole (Radius=diameter/2)
you're trying to calculate the radius of the coil, so rearrange the formula to get:
((Weight/Density)/Pi*h) + rh2 = rc2
The diameter of the coil = 2 *rc
NOTE:- It's important to keep your units of measure consistent throughout the calculation. Density is generally represented by kilograms per cubic metre (kg/m3) - for us metric users ;-) Therefore keep your coil weight in kgs and your radius / width measures in metres.
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