$($Marks: $25)$

Pure Substances

Q$\mathrm{.}3\mathrm{.}1$ Redraw and complete the following table for water:

$(11)$

$\backslash$table$[[P[kPa],T[C],\frac{m^3}{k}g,x,$State$],[500,20,,,],[500,,0\mathrm{.}20,,],[1400,200,,,\backslash$table$[[$Superheated$],[$vapor$]]],[,300,,0\mathrm{.}8,]]$

$**$Show all calculations.

Question $3$

$($Marks: $25)$

Pure Substances

Q$\mathrm{.}3\mathrm{.}1$ Redraw and complete the following table for water:

$(11)$

$\backslash$table$[[P[kPa],T[C],V[\frac{m^3}{k}g],x,$State$],[500,20,,,],[500,,0\mathrm{.}20,,],[1400,200,,,\backslash$table$[[$Superheated$],[$vapor$]]],[,300,,0\mathrm{.}8,]]$

$**$Show all calculations.

Assignment formulation: The displacement $x$ of a follower in contact with a cam is given as follows in terms of the cam rotation angle $$ :

$x=a(\frac{}{}{)}^3+b(\frac{}{}{)}^2+c(\frac{}{})+d$

where $$ is half the contact angle and $a,b,c$ and $d$ are unknown polynomial coefficients.

The contact angle $2$ is $180.$

If the cam rotates at a constant rotational speed of $3000$ RPM$,$ plot the follower displacement, $-$velocity and $-$acceleration against cam angle of rotation $q$ from zero to $a$ in increments of $5.$

Do the following:

$($i$)$ If the follower displacement and velocity at zero angle of rotation are zero, maximum lift $l$ at $=$ is $20$ mm and velocity at $=$ is zero, determine the polynomial coefficients in Equation $(1).(18$ marks$)$

$($ii$)$ Also determine the follower displacement, velocity and acceleration in terms of the given lift $l.(6$ marks$)$

$($iii$)$ If the cam rotates at a constant rotational speed of $3000$ RPM$,$ plot the follower displacement, $-$velocity and $-$acceleration against cam angle of rotation $$ from zero to $90$ in increments of $5.(6$ marks$)$