Discussion
The equation for the approximate length for open-belt drive
Answer: D
The approximate length of an open belt is \[ L = \pi(r_1 + r_2) + \frac{(r_1 - r_2)^{2}}{x} + 2x \] where \(r_1\) and \(r_2\) are the radii of the pulleys and x is the distance between their centres. The straight portions of the belt each add about x, giving 2x, and the wrapped portions on the two pulleys add \(\pi(r_1 + r_2)\) plus a correction term depending on the difference of the radii. The other options have the square in the wrong place, or the sum of the radii in the correction term.
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