A tensile$-$testing machine is shown in the Figure.

A double$-$thread, $\frac{21}{4}$ ACME screw moves the nut.

Determine the velocity of the rising ram when the screw rotates at $6$ revolutions per minute.

Determine the displacement of the raising ram after the screw is rotated $10$ revolutions.

$\backslash$table$[[-$ tevilis $12*3,$Stamblure ACM$18$ Tliread Dimensionis:,$],[\backslash$table$[[$Nominal$],[$Major$],[$Diameter $($in$.)]],$Threads per inch, $n,$Pitch $($in$.)p=\frac{1}{n},\backslash$table$[[$Nominal$],[$Pitch$],[$Dimmeter $($inn$.)]]],[1/4,16,0\mathrm{.}0625,0\mathrm{.}2043],[\frac{3}{10},14,0\mathrm{.}0714,0\mathrm{.}2614],[1/8,12,0\mathrm{.}0833,0\mathrm{.}3161],[7/16,12,0\mathrm{.}0833,0\mathrm{.}3783],[\frac{1}{2},10,0\mathrm{.}1000,0\mathrm{.}4306],[3/8,8,0\mathrm{.}125,0\mathrm{.}5408],[1/4,6,0\mathrm{.}1667,0\mathrm{.}6424],[\%,6,0\mathrm{.}1667,0\mathrm{.}7653],[1,5,0\mathrm{.}2000,0\mathrm{.}8726],[1/6,5,0\mathrm{.}2000,0\mathrm{.}9967],[\frac{11}{4},5,0\mathrm{.}2000,1\mathrm{.}1210],[13,4,0\mathrm{.}2500,1\mathrm{.}2188],[\frac{1}{2},4,0\mathrm{.}2500,1\mathrm{.}3429],[\frac{13}{4},4,0\mathrm{.}2500,1\mathrm{.}5916],[2,4,0\mathrm{.}2500,1\mathrm{.}8402],[\frac{21}{4},3,0\mathrm{.}3333,2\mathrm{.}0450],[\frac{21}{2},3,0\mathrm{.}3333,2\mathrm{.}2939],[\frac{21}{4},3,0\mathrm{.}3333,2\mathrm{.}5427]]$