A (20^{circ}) pinion having a module of 2.5 and 40 teeth meshes with a rack with no

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A \(20^{\circ}\) pinion having a module of 2.5 and 40 teeth meshes with a rack with no backlash. If the rack is pulled out \(1.25 \mathrm{~mm}\), calculate the backlash error.

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