GATE Mechanical 2021 Set 1 | Question: 41

Question

The $\text{XY}$ table of a $\text{NC}$ machine tool is to move from $P(1,1)$ to $Q(51,1)$; all coordinates are in $\text{mm}$. The pitch of the $\text{NC}$ drive leadscrew is $\text{1 mm}$. If the backlash between the leadscrew and the nut is $1.8^{\circ}$, then the total backlash of the table on moving from $\text{P}$ to $\text{Q}$ is ______  $\text{mm}$ ($\textit{round off to two decimal places}$)