The discussion revolves around calculating the partial diameter error of the surface area of a cylinder, focusing on the differentiation of the surface area formula with respect to diameter.
Some participants have pointed out potential errors in the derivative process and are encouraging a more careful formulation. There is an ongoing exploration of the correct formula for partial diameter error, with no clear consensus reached yet.
Participants are discussing the implications of constants in the derivative and the correct interpretation of variables involved in the formula.
Thanks! But, actually, I don't really get it.. Now, the formula is Partial Diameter Error = (2πH + πD) * ΔD?Cutter Ketch said:You didn’t do the derivative correctly. Write the formula more carefully and then take the derivative more carefully. Hint: D is not ##\Delta D## (but also careful with the constants)
Start by posting the formula you are using for the area.abobik said:Thanks! But, actually, I don't really get it.. Now, the formula is Partial Diameter Error = (2πH + πD) * ΔD?