2. A prototype of a part is to be fabricated using stereolithography. The base of the part is shaped like a right triangle with dimensions 36 mm by 48 mm. The height of the part = 30 mm. Layer thickness = 0.15 mm, and laser spot diameter = 0.15 mm. The beam velocity across the surface of the photopolymer = 2200 mm/s. the minimum possible required to build the part, if 25 s are lost each layer to lower the height of the platform that holds the part. Ignore setup time and post processing.

=1.53 hr

Step-by-step explanation:

In your question 30mm should be the thickness. Also, the minimum possible time is required.

SOLUTION:

The part should be oriented on its side in stereo lithography, thus laser Area A is same for all layers.

A= 1/2 (b x h) =>0.5 (36 x 38)

A= 864 mm²

Time to complete one layer 'T' is same for all layers

T= [(A/spot size x velocity)+ last time]

T=[(864/ 0.15x2200) +25]

T=27.62 sec

Number of layers 'n' is given by:

n= t/ layer thickness =>30/0.15

n= 200 layers.

Next is to determine minimum possible time required,

= n x T =>200 x 27.62

=5524 s /60

=92.06 min/60

=1.53 hr

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)